Numerical analysis of partial differential equations; conservation laws and related equations; applications in mineral processing, wastewater treatment, traffic modelling, mathematical biology, propagation of forest fires, and epidemiology.

I supervised, or am still supervising, the following undergraduate and gradiate theses. Further below post-doctoral researchers I hosted are listed.

Undergraduate theses:

1. Camilo Mejías, Identificación de la Función Densidad de Flujo Mediante Medición de Curvas de Asentamiento de Suspensiones y Simulación Numérica de Sedimentación Continua (Identification of the flux density function by measuring settling curves of suspensions and numerical simulation of continuous sedimentation). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started March 2013; concluded March 12, 2015. Supervised (jointly with Professor Fernando Betancourt, Department of Metallurgical Engineering, UdeC).

2. Víctor Osores, Modelamiento Matemático y Simulación Numérica de un Sistema Shallow Water Multicapa con Sedimentación Polidispersa en dos Dimensiones Horizontales (Mathematical modelling and numerical simulation of a multilayer shallow water system with polydisperse sedimentation in two horizontal dimensions). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started September 2013; concluded March 31, 2015. Supervised (jointly with Professor Enrique D. Fernández-Nieto, Universidad de Sevilla, Spain).

3. Julio Careaga, Modelamiento Matemático y Simulación Numérica de Sedimentadores con Area Variable en Plantas de Tratamiento de Aguas Servidas (PTAS) (Mathematical modelling and numerical simulation of settlers with variable cross-sectional area in wastewater treatment plants). Memoria de Título (final thesis), Ingeniería Civil Matemática (undergraduate career in Mathematical Engineering), Universidad de Concepción; started October 2013; concluded January 28, 2016. Supervised.

Doctoral theses:

1. Stefan Berres, Modeling, Analysis and Numerical Simulation of Polydisperse Suspensions. Doctoral Thesis (Dr. rer. nat.), Faculty of Mathematics. Universität Stuttgart, Germany, defended June 6, 2006. Terminated; supervised.

2. Antonio García, On Mathematical Models for Kinematic Flows with Discontinuous Flux, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2005; defended August 24, 2007; supervised.

3. Ricardo Ruiz, Numerical Methods and Analysis for Degenerate Parabolic Equations and Reaction-Diffusion Systems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2007; defended December 22, 2008; supervised (jointly with Mostafa Bendahmane, U. de Bordeaux, France).

4. Carlos Vega, Hyperbolicity and Numerical Simulation of Certain Models of Polydisperse Sedimentation, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 2008; defended December 29, 2010; supervised (jointly with Pep Mulet, U. de Valencia, Spain).

5. Fernando Betancourt, Conservation Laws and Related Equations with Nonlocal Fluxes and Invoutions, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2007; defended January 26, 2011; supervised (jointly with Christian Rohde, Universität Stuttgart, Germany).

6. Héctor Torres, Numerical Methods for Clarifier-Thickeners in One and Two Dimensions, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 2008; defended April 19, 2011; supervised.

7. Luis Miguel Villada, Modelling and Numerical Schemes for Multi-Species Kinematic Flow Problems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started April 2011; defended July 8, 2013; supervised (jointly with Christophe Chalons (Université de Versailles Saint-Quentin-en-Yvelines, France, and Pep Mulet).

8. Lihki Rubio, A Contribution to the Study of Efficient Numerical Methods for Some Multi-Species Models in One Dimension, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started September 2014; defended July 7, 2017; supervised (jointly with Pep Mulet).

9. Elvis Gavilán, Numerical solution of spatio-temporal epidemic models, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started March 2014; defended July 12, 2018; supervised (jointly with Gerardo Chowell-Puente, School of Public Health, Georgia State University, Atlanta, GA, USA).

10. Camilo Mejías, A Contribution to the Numerical Simulation of Settling Tanks and Related Applications, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mencio ?n en Ingeniería Matemática, Universidad de Concepción, started October 2015; defended January 18, 2019; supervised (jointly with Stefan Diehl, Lund University, Sweden).

11. Víctor Osores, Multilayer Shallow Water Systems for Polydisperse Sedimentation: Theory, Numer- ics and Applications, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started June 2016; defended November 19, 2019; supervised (jointly with Enrique D. Fernández-Nieto, Department of Applied Mathematics I, Universidad de Sevilla, Spain).

12. Daniel Inzunza, Implicit-Explicit Methods for Nonlinear and Nonlocal Convection-Diffusion-Reaction Problems, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started November 2016; defended December 16, 2019; supervised (jointly with Pep Mulet and Luis Miguel Villada, Universidad del Bio-Bio, Concepción, Chile).

13. Paul Méndez, Numerical Methods for the Simulation of Viscous Flow and Transport in Porous Media, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started January 2018; defended March 12, 2020; supervised (jointly with Ricardo Ruiz-Baier, School of Mathematics, Monash University, Australia).

14. Rafael Ordoñez, Modelling, Analysis and Numerical Solution of Conservation Laws with Discontinuous and Non-Local Flux Arising in Water Resources, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción,started July 2017; defended January 26, 2021; supervised (jointly with Christophe Chalons and Luis Miguel Villada).

15. Yissedt Lara, Temporal and Spatial Modelling of Infectious Diseases, Invasive Forest Insects and Biological Control, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started April 8, 2019; in progress; being supervised (jointly with Gerardo Chowell-Puente).

16. Yolanda Vásquez, Systems of convection-diffusion-reaction equations modelling unit operations in mineral processing, Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, started May 3, 2019; in progress; being supervised (jointly with Stefan Diehl and María Carmen Martí).

17. Harold Deivi Contreras Contreras, Numerical analysis of balance/conservation laws with nonlocal and memory terms, Doctoral Thesis, Doctorado en Matemática Aplicada, Universidad del Bío-Bío, Concepción, started October 30, 2020; in progress; being supervised; main supervisor: L.M. Villada, co-supervisor: R. Bürger.

18. Julio Careaga, On quasi-one-dimensional conservation laws modeling sedimentation (working title), Doctial Thesis, Centre of Mathematical Sciences (CMS), Lund University, Sweden, started October 2016; in progress; being supervided; main supervisor: Stefan Diehl; co-supervisors: R. Bürger (UdeC), Eskil Hansen (CMS, Lund University, Sweden).

19. Romel Pineda, On models of reactive settling in sequencing batch reactors and related equipment (working title), Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, to be started in March 2021; to be supervised (jointly with Stefan Diehl).

20. Jorge Moya, On multilayer shallow water models for the impact of tsunamis on coastal forests working title), Doctoral Thesis, Doctorado en Ciencias Aplicadas con Mención en Ingeniería Matemática, Universidad de Concepción, to be started in April 2021; jointly with Enrique D. Fernández-Nieto, U. de Sevilla, Spain).

Post-doctoral researchers: Since 2010 I have hosted the following post-doctoral researchers (as host, ``investigador patrocinante"):

Mari Camen Martí (Universitat de València, Spain). Project Fondecyt Postdoctorado 3150140, funded by CONICYT (Chile) November 2014–October 2017 (3 years). Topic: Adaptive schemes for multidimensional polydisperse sedimentation models.

Sudarshan K. Kenettinkara (Tata Institute of Fundamental Research Centre For Applicable Mathematics, Bangalore, Karnataka, India). Project Fondecyt Postdoctorado 3150313, funded by CONICYT (Chile) November 2014–October 2016 (2 years). Topic: High order numerical methods for hyperbolic conservation laws.

David Zorío (Universitat de València, Spain). Project Fondecyt Postdoctorado 3170077, funded by CONICYT (Chile) March 2017–March 2020 (3 years). Topic: Adaptive mesh refinement applied to finite difference schemes associated with hyperbolic conservation laws defined on domains with curved boundary.

I collaborated in the evaluation and/or examination committtees of the following doctoral theses (2016-present):

Diana Celi, Study of new technologies in the water recovery processes for copper tailings. Doctoral Thesis, Doctoral Programme in Metallurgical Engineering, Universidad de Concepción, Chile, defended August 2018 (supervisor: Fernando Betancourt). I refereed this thesis as an external reviewer and was member of the examination jury.

Felisia Chiarello, Non-local conservation laws for traffic flow modeling. Doctoral Thesis, Ecole Doctorale Sciences Fondamentales et Appliqués, Université Côte d'Azur, France, defended December 6, 2019 (supervisor: Paola Goatin, INRIA Sophia Antipolis, France). I refereed this thesis as an external reviewer and was member of the examination jury.

Yanyang Qiao, Mathematical modeling of compressible and incompressible multiphase flow based on mixture theory. Doctoral Thesis, Faculty of Science and Technology, University of Stavanger, Stavanger, Norway, defended February 27, 2020 (supervisor: Steinar Evje, U. of Stavanger). I refereed this thesis as an external reviewer and was president of the examination jury ("opponent").

Hugo Carrillo, High-order approximate Lax-Wendroff methods for systems of conservation laws. Doctoral Thesis, Department of Mathematical Analysis, Statistics and Operations Research and Applied Mathematics, University of Malaga, Malaga, Spain, defended September 16, 2020 (supervisor: Carlos Parés, U. of Malaga). I refereed this thesis as an external reviewer.

Presentations given since 2016 include the following:

“A random sampling approach for a family of Temple-class systems of conservation laws”, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations (WONAPDE 2016), Universidad de Concepción, January 11–15, 2016.

“Discontinuous approximation of viscous two-phase flow in heterogeneous porous media”, Joint Annual Meeting of GAMM and DMV, Braunschweig, Germany, March 7–11, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, Focus Seminar on Conservation Laws, IANS, Universität Stuttgart, Germany, March 17, 2016.

“Random sampling techniques for the numerical solution of conservation laws: some recent contributions”, invited plenary talk, XXIX Jornada de Matemática de la Zona Sur, Universidad de Talca, Campus Santa Cruz, Chile, April 21–23, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, invited talk, Nonlinear PDEs at IMPA 2016, IMPA, Rio de Janeiro, Brazil, June 20–24, 2016.

“A random sampling approach for a family of Temple-class systems of conservation laws”, 16th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, RWTH Aachen, Germany, August 1– 5, 2016.

“Mathematical modelling of secondary settling tanks in wastewater treatment plants”, invited talk, Focus Seminar on Advanced Modelling and Simulation of Wastewater Treatment Plants, Lund University, Lund, Sweden, August 9, 2016.

“A model of continuous sedimentation with compression and reactions”, Seminario de Investigación EUDIM 2016, Escuela de Ingeniería Mecánica, Universidad de Tarapacá, Arica, Chile, September 15, 2016.

“A model of continuous sedimentation with compression and reactions”, invited talk, Fourth French-Chilean Workshop on Bioprocess Modelling, Centro de Modelamiento Matemático, Universidad de Chile, Santiago, September 20–22, 2016.

“Grupo de Investigacón en Análisis Numérico de Ecuaciones Diferenciales Parciales del Centro de Investigación en Ingeniería Matemática de la Universidad de Concepción”, dissemination talk, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 27, 2016.

“Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, dissemination talk, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 30, 2016.

“A model of continuous sedimentation with compression and reactions”, Universidad Tecnológica de Panamá, Panamá City, Panamá, September 30, 2016.

“On models of continuous sedimentation with biological reactions”, invited talk, International SimTech Symposium on the Occasion of Wolfgang L. Wendland’s 80th Birthday, Universität Stuttgart, October 27, 2016.

“Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws”, Numerical Analysis Seminar, Lund University, Lund, Sweden, May 10, 2017.

“On diffusively corrected multispecies kinematic flow models”, Seminario de Análisis Matemático, Universidad de Málaga, Málaga, Spain, May 17, 2017.

“Approximate Lax-Wendroff discontinuous Galerkin methods for hyperbolic conservation laws”, Noveno Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales (Santiago Numérico III), Pontificia Universidad Católica de Chile, Santiago, Chile, June 28–30, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, CI2MA Seminario de Análisis Numérico y Modelación Matemática, Universidad del Bio-Bio, Concepción, Chile, July 25, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, invited lecture, XXVI Congreso de Matemática Capricornio 2017 (COMCA 2017), Universidad de Tarapacá, Arica, Chile, August 2–4, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, Departament de Matemàtiques, Universitat de València, Spain, November 23, 2017.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones”, plenary invited lecture, International Conference on Applied Mathematics and Informatics (ICAMI2017), Isla San Andrés, Colombia, November 26–December 1, 2017.

“Coupling of DG schemes for viscous flow in porous media with adsorption”, invited talk, Universidad Nacional de Colombia, Sede Medellín, December 4, 2017.

“Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents”, invited talk, 2do Workshop Modelamiento Matemático de Sistemas Biológicos, Universidad Tecnológica Metropolitana, Santiago, Chile, January 10–12, 2018.

“Entropy solutions and flux identification for a scalar conservation law modelling sedimentation in cones” and “Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, Sección de Matemáticas, Sede de Occidente, Universidad de Costa Rica, San Ramón, Costa Rica, February 16, 2018.

“Mathematical and numerical treatment of polydisperse sedimentation: some recent developments”, Kolloquium über neuere Arbeiten auf dem Gebiet der Mechanik und Strömungslehre, TU Wien, Vienna, Austria, March 15, 2018.

“Coupling of DG schemes for viscous flow in porous media with adsorption”, 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics, TU München, Munich, Germany, March 19–23, 2018.

“Convection-diffusion-reaction and transport-flow problems motivated by problems of sedimentation: some recent advances”, invited plenary talk, XXXI Jornada de Matemática de la Zona Sur, Universidad Austral de Chile, Valdivia, Chile, April 25–27, 2018.

“A dynamic multilayer shallow water model for polydisperse sedimentation”, Seminario del Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Concepción, Chile, May 4, 2018.

“On the efficient computation of smoothness indicators for optimal-order WENO reconstructions”, 17th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Pennsylvania State Uni- versity, University Park, PA, USA, June 25–29, 2018.

“On entropy stable schemes for degenerate parabolic multispecies kinematic flow models”, XXVII Congreso de Matemática Capricornio 2018 (COMCA 2018), Universidad de Antofagasta, Antofagasta, Chile, July 25–27, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, invited lecture, International Congress of Mathematicians (ICM 2018), Rio de Janeiro, Brazil, August 1–9, 2018.

“Sucesiones y series con aplicaciones" and “On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, outreach talks, Liceo Politécnico Capitán Ignacio Carrera Pinto, San Carlos, Chile, August 23, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, Seminario Hubert
Mennickent, Universidad de Concepción, September 6, 2018.

“Promoción del Doctorado en Ciencias Aplicadas con mención en Ingeniería Matemática de la Universidad de Concepción”, outreach talk,
“Introducción a la Epidemiología Matemática” (short course), Programa de Maestría en Ingeniería Matemática, and “Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents”, Facultad de Ciencias y Tecnología, Universidad Tecnológica de Panamá, Panamá City, Panamá, October 5, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, Workshop 2018 Matemática-Estadística, Universidad de Atacama, Copiapó, Chile, October 25 and 26, 2018.

“On smoothness indicators for high-order weighted essentially non-oscillatory (WENO) reconstructions”, Numerical Analysis Seminar, Lund University, Lund, Sweden, November 7, 2018.

“Modelamiento matemático para problemas de sedimentación”, invited talk, IV Encuentro Nacional de Ingeniería Matemática (ENIM 2018), Universidad de Concepción, December 12–14, 2018.

“Mathematical and numerical treatment of polydisperse sedimentation: some recent developments”, invited keynote lecture (communicated via skype), International Conference on Numerical Analysis, Computing and Applications in Science, Engineering and Technology, Mohandas College of Engineering and Technology, Thiruvananthapuram, Kerala, India, December 17–20, 2018.

“On convection-diffusion-reaction and transport-flow problems modelling sedimentation”, “Numerical Analysis of PDEs@CI2MA: some current research topics”, and “Some current research topics”, Department of Mathematics, Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, Kerala, India, January 11 to 15, 2019.

“Numerical Analysis of PDEs@CI2MA: some current research topics” and “Some current research topics”, Mohandas College of Engineering and Technology, Thiruvananthapuram, Kerala, India, January 14, 2019.

“On mathematical problems and numerical simulation of batch sedimentation and continuous thickening”, “Recent advances on modelling sedimentation in cones and vessels with variable cross-sectional area”, and “Mathematical models and numerical simulation of polydisperse sedimentation”, School of Civil and Resource Engineeering, University of Science and Technology Beijing (USTB), Beijing, China, June 11 and 12, 2019.

“On convection-diffusion-reaction and transport-flow models of thickening”, invited lecture, 4th International Seminar on Paste Backfill in China (ISPBC2019), Preess Resort & Hotel, Changsha, China, June 14–17, 2019.

“A system of conservation laws with discontinuous flux modelling flotation with sedimentation”, Coloquio, Departamento de Ingeniería Matemática, Universidad de Concepción, Chile, June 25, 2019.

“A model of flotation with sedimentation: steady states and numerical simulation of transient operation”, Foundations of Mineral Processing & Extractive Metallurgy International Conference (FoMPEM 2019), Antofagasta, Chile, July 2–4, 2019.

“On a linearly implicit scheme for strongly degenerate diffusion equations” and “Flux identification of scalar conservation laws from sedimentation in a cone”, 9th International Congress of Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15–19, 2019.

“Mathematical models and numerical simulation of wastewater treatment and related processes: some recent advances”, invited keynote lecture, Focus Seminar on Advanced Modelling and Simulation of Wastewater Treatment Plants, Lund University, Lund, Sweden, August 9, 2019.

“On conservation laws and multilayer shallow water systems modeling flotation and sedimentation”, invited plenary talk, French-Latin-American Conference on New Trends in Applied Mathematics (FLACAM2019), Centro de Modelamiento Matemático (CMM), Universidad de Chile, Santiago, November 5–8, 2019.

“On convection-diffusion-reaction and transport-flow models of thickening”, Department of Energy and Petroleum Engineering, University of Stavanger, Stavanger, Norway, February 25, 2020.

In the period 2016-present I was involved in the organization of the following events:

Member of the Scientific Committee, 5th Chilean Workshop on Numerical Analysis of PDEs, Universidad de Concepción, Chile, January 11-15, 2016.

Member of the Scientific Committee, 6th Chilean Workshop on Numerical Analysis of PDEs, Universidad de Concepción, Chile, January 21-25, 2016.

Organizer, jointly with Luis Miguel Villada, of Second CI²MA Workshop: Mathematical Models in Epidemiology, Universidad de Concepción, Chile, July 6 and 7, 2016.

Organizer, jointly with Fernando Betancourt, of Third CI²MA Workshop: Mathematical modelling and simulation for bioprocesses, wastewater treatment and mineral processing,
Universidad de Concepción, Chile, September 27 and 28, 2017.

Organizer, jointly with Luis Miguel Villada, of Fourth CI²MA Workshop: Mathematical Models in Epidemiology, Universidad de Concepción, Chile, June 18 and 19, 2018.

Member of the Scientific Committee, 4th International Seminar on Paste Backfill in China (ISPBC2019), Preess Resort & Hotel, Changsha, China, June 14–17, 2019.

Organizer, jointly with Stefan Diehl, of a minisymposium Sedimentation, flotation, and related processes: modeling, numerics, applications, and calibration (three sessions, 10 presentations) within the 9th International Congress of Industrial and Applied Mathematics (ICIAM2019), Valencia, Spain, July 15–19, 2019.

During the period 2016-present I undertook research visits to the folloing international centers:

IANS, Universtät Stuttgart, Germany, 3 days in March 2016 amd 2 days in October 2016

Centre of Mathematical Sciences, Lund University, Lund, Sweden, 1 week in August 2016; 1 week in May 2017; 1 week in November 2018; 1 week in August 2019

Universidad Tecnológica de Panamá, Panama City, Panama, 1 week in September 2016; 1 week in October 2018

Department of Mathematical Analysis, Statistics and Operations Research and Applied Mathematics, University of Malaga, Malaga, Spain, 1 week in May 2017

Department of Applied Mathematics, University of Valencia, Spain, 1 week in November 2017; 1 month as a Visiting Professor in July/August 2019

Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia, 3 days in December 2017

Universidad de Costa Rica, Sede de Occidente, Sección de Matemáticas, San Ramón, Costa Rica, one day in February 2018

Technical University of Vienna, Institute of Fluid Mechanics, Vienna, Austria, 3 days in March 2018

Indian Institute of Space Science and Technology (IIST), Thiruvananthapuram, Kerala, India, 2 weeks in January 2019

University of Science and Technology Beijing (USTB), School of Civil and Resource Engineeering, Beijing, China, 4 days in June 2019

INRIA Sophia Antipolis, France, 1 week in December 2019.

University of Stavanger, Department of Energy and Petroleum Engineering, Stavanger, Norway, 1 week in February 2020.