Applied Partial Differential Equations

Katerina Nik

Professor Nik studies partial differential equations that describe phenomena in biological growth processes, fluid dynamics, and mechanical engineering.

On Nonlocal Keller-Segel Type Equations

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B1 L3 R3119

In the first part of the talk we investigate a Keller-Segel model with quorum sensing and a fractional diffusion operator. This model describes the collective cell movement due to chemical sensing with flux limitation for high cell densities and with anomalous media represented by a nonlinear, degenerate fractional diffusion operator. The purpose here is to introduce and prove the existence of a properly defined entropy solution. In the second part of the talk we will analyze an equation that is gradient flow of a functional related to Hardy-Littlewood-Sobolev inequality in whole Euclidean space of higher dimensions.

IVth KAUST MaS Workshop on Modelling and Simulation

speakers from KAUST, Birmingham, Graz, Utrecht, Stuttgart, Frankfurt, Buffalo, Linz, Weissach, Lugano, Kaliningrad, Heidelberg, State College, Philadelphia, Torino, Riyadh

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B3 L5 R5209

The workshop provides a forum for researchers to present and discuss recent progress in modelling and simulation research. Topics are Models based on partial differential equations Novel models in biosciences Computational methods in empirical sciences. Numerical methods for partial differential equations Historical and scientific background Previous KAUST MaS workshops were held in 2017, 2018 and 2019 To download the Workshop's Agenda click here. Agenda Monday, 21 March 2022 Day 1 Saudi Arabia(AST) Speakers Description 10:00 Tony Chan (KAUST President) Opening Remarks 10:15 Gundolf Haase

5th KAUST CEMSE MaS Workshop on Modelling and Simulation

Speakers from KAUST, Melbourne, Utrecht, Karlsruhe, Erlangen, Brisbane, Langensteinbach, Lugano, Frankfurt, Italy

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B3 L5 R5209

The workshop provides a forum for researchers to present and discuss recent progress in modelling and simulation research. Topics are Simulating unsteady CO 2 flow through brine-saturated cross-bedded sandstones: towards relative permeability curves for unstable displacement On Fourier methods and machine learning techniques in Computational Finance Pore-scale modelling of flow and transport in porous media Uncertainty Quantification of Density-Driven Groundwater Flow Simulation of unsaturated Density-Driven flow with a phreatic surface Modeling and Large-scale Simulation of Carbon Dioxide

Scalable parallel solvers for cardiac reaction-diffusion models and applications

Luca F. Pavarino, Professor, Department of Mathematics, Università degli Studi di Pavia

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B2 L5 R5220

After a brief introduction to the field of Computational Cardiology and cardiac reentry, we introduce and study some scalable domain decomposition preconditioners for cardiac reaction-diffusion models, discretized with splitting semi-implicit techniques in time and isoparametric finite elements in space.

Professor Peter Markowich Has Been Awarded The "John Von Neumann Visiting Chair" At The Technical University Of Munich

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Professor Peter Markowich has been awarded the "John Von Neumann Visiting Chair" at the Technical University of Munich. The John von Neumann Visiting Professorship allows outstanding scientists to spend a semester at the TUM Center for Mathematics.

Peter Markowich elected Fellow of the European Academy of Sciences

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KAUST Professor Peter Markowich has been elected as a Fellow of the European Academy of Sciences (EurASc). Established in 2003, the EurASC is a fully independent international organization of distinguished scholars that aims to recognize and elect to its membership the best European researchers to strengthen European science and scientific cooperation.

Professor Markowich named Fellow of the Institute of Mathematics and its Applications

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Prof. Peter Markowich has been named a Fellow of the Institute of Mathematics and its Applications (IMA). IMA Fellowships are awarded to individuals who have shown demonstrable achievement and competence in the development or application of mathematics.

Professor Athanasios Tzavaras elected Fellow of the European Academy of Sciences (EurASc)

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Athanasios (Thanos) Tzavaras has been elected Fellow of the European Academy of Sciences (EurASc). He was nominated for his contributions to the interface of nonlinear partial differential equations and applied mathematics in the physical sciences.

Professor Markowich elected to the European Academy of Sciences and Arts

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KAUST Distinguished Professor of Applied Mathematics and Computational Science Dr. Peter Markowich has been named a member of the European Academy of Sciences and Arts (EASA). He will officially be inducted as a member at the organization's annual inauguration ceremony in early 2023.

Peter Markowich

Al-Khawarzmi Distinguished Professor, Applied Mathematics and Computational Sciences
A distinguished professor of applied mathematics and computational science, Dr. Markowich is the author of over 200 publications in leading international journals and circa 14,000 citations.

Min-Gi Lee

Postdoctoral Research Fellow, Applied PDE Group
Dr. Min-Gi Lee was a Postdoctoral Research Fellow at the Applied PDE group of the Applied Mathematics and Computational Science program (AMCS) at KAUST during the period September 2014 - December 2017. He is currently Assistant Professor in the Department of Mathematics, Kyungpook National University, South Korea. Education Profile ​​Ph.D. in Mathematics, KAIST, Korea, 2014 M.Sc. in Mathematics, KAIST, Korea, 2009 B.Sc. in Mathematics, KAIST, Korea, 2007

Julian David Gutierrez Pineda

Julian received both B.S. in Mathematics and B.S. in Engineering from Escuela Colombiana de Ingenieria, Colombia. After receiving his M.Sc. in Mathematical Sciences from Universidad Nacional Autónoma de México, México, he joined Professor Diogo Gomes as a Ph.D. student in applied mathematics at King Abdullah University of Science and Technology, Saudi Arabia. His research interests are primarily optimal control, optimal transport, calculus of variations, partial differential equations, and mean-field games.

Daria Bolbot

Short Bio Ms. Daria Bolbot is a Ph.D student in the AppliedPDE group of the Applied Mathematics and Computational Science program (AMCS) of CEMSE division at the King Abdullah University of Science and Technology, Saudi Arabia. She graduated from Moscow Institute of Physics and Technology in 2013 with the Master degree in Applied Mathematics and Applied Physics. Ms. Daria got a Bachelor degree from the same institute (MIPT) 2 years earlier - 2011. Her research interests are Nonlinear Partial Differential Equations, Hyperbolic Conservation Laws, Dispersive-Diffusive Shock Waves and Dynamical