About Athanasios Tzavaras Athanasios Tzavaras Professor, Applied Mathematics and Computational Science mathematical modelling Partial Differential Equations nonlinear PDEs continuum physics KAUST Professor of Applied Mathematics and Computational Science Athanasios (Thanos) Tzavaras specializes in mathematical modelling, analysis and computation of partial differential equations pertaining to fluid mechanics or modeling of materials. Events Presented Events Sep 3 - Sep 9, 2023 From Euler flows with friction to gradient flows and applications Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Sep 7, 12:00 - 13:00 B9 L2 H2 I will review some works on the high-friction limit (or small mass approximation) from Euler flows to advection-diffusion systems that are gradient flows, and related asymptotic problems in fluid mechanics. The formulation exploits the variational structure of compressible Euler flows and is connected to the interpretation of nonlinear Fokker-Planck systems as gradient flows in Wasserstein distance. Mar 13 - Mar 19, 2022 The Maxwell-Stefan system for multi-component diffusion Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Mar 17, 12:00 - 13:00 B9 L2 H2 The Maxwell-Stefan system is a system of equations commonly used to describe diffusion processes of multi-component systems. In this talk (i) I will describe modeling of multi-component systems, which leads to extensions of the Euler compressible dynamics system with mass and thermal diffusion. (ii) Will describe how the Maxwell-Stefan system emerges in the high-friction limit of multi-component Euler flows. (iii) Discuss some mathematical questions that this model raises and on the construction of numerical schemes for the Maxwell-Stefan system associated with the minimization of frictional dissipation. Sep 15 - Sep 21, 2019 High friction limits for Euler flows Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Sep 19, 12:00 - 13:00 B9 L2 H1 R2322 High friction limits Euler flows Abstract Brief Biography Athanasios (Thanos) Tzavaras is a Professor in the Applied Mathematics and Computational Science program (AMCS) and Principal Investigator of the Applied Partial Differential Equations (AppliedPDE) research group at the King Abdullah University of Science and Technology, Saudi Arabia. Professor Tzavaras' research focus lies on Nonlinear Analysis, Continuum Physics, and Kinetic Theory. Tzavaras obtained a Diploma in Naval Architecture and Marine Engineering from the National Technical University of Athens, Greece, and subsequently moved to the USA, where he obtained M
From Euler flows with friction to gradient flows and applications Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Sep 7, 12:00 - 13:00 B9 L2 H2 I will review some works on the high-friction limit (or small mass approximation) from Euler flows to advection-diffusion systems that are gradient flows, and related asymptotic problems in fluid mechanics. The formulation exploits the variational structure of compressible Euler flows and is connected to the interpretation of nonlinear Fokker-Planck systems as gradient flows in Wasserstein distance.
The Maxwell-Stefan system for multi-component diffusion Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Mar 17, 12:00 - 13:00 B9 L2 H2 The Maxwell-Stefan system is a system of equations commonly used to describe diffusion processes of multi-component systems. In this talk (i) I will describe modeling of multi-component systems, which leads to extensions of the Euler compressible dynamics system with mass and thermal diffusion. (ii) Will describe how the Maxwell-Stefan system emerges in the high-friction limit of multi-component Euler flows. (iii) Discuss some mathematical questions that this model raises and on the construction of numerical schemes for the Maxwell-Stefan system associated with the minimization of frictional dissipation.
High friction limits for Euler flows Athanasios Tzavaras, Professor, Applied Mathematics and Computational Science Sep 19, 12:00 - 13:00 B9 L2 H1 R2322 High friction limits Euler flows Abstract Brief Biography Athanasios (Thanos) Tzavaras is a Professor in the Applied Mathematics and Computational Science program (AMCS) and Principal Investigator of the Applied Partial Differential Equations (AppliedPDE) research group at the King Abdullah University of Science and Technology, Saudi Arabia. Professor Tzavaras' research focus lies on Nonlinear Analysis, Continuum Physics, and Kinetic Theory. Tzavaras obtained a Diploma in Naval Architecture and Marine Engineering from the National Technical University of Athens, Greece, and subsequently moved to the USA, where he obtained M
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