Research Directions in the Study of Nonlinear Wave Propagation and Hyperbolic Conservation Laws

Masterclass in Applied Nonlinear PDEs

Abstract

This talk presents certain topics of interest in Prof. Tzavaras's group concerning the study of fast flows in fluid mechanics and the theory of Hyperbolic Conservation laws and Hyperbolic-Parabolic Systems. These topics are a nice ground for the interplay of modeling, analysis, and computational methods in situations trying to understand concrete applications.

Brief Biography

Thanos Tzavaras obtained a Diploma in Naval Architecture and Marine Engineering in 1981 from the National Technical University of Athens, Greece, an M.Sc. in 1983, and a Ph.D. in 1985 degrees in Applied Mathematics from Brown University. He held academic positions at Purdue University (1985-87), University of Wisconsin-Madison (1987-2005), University of Maryland (2005-10), University of Crete, Greece (2002-04 and 2008-14), and visiting positions in University of Minnesota, Stanford University, Ecole Polytechnique, University Paris VI, and Newton Institute UK. In 2014 Tzavaras joined KAUST as a Professor of Applied and Computational Mathematics. His research interests are Nonlinear Partial Differential Equations in Continuum Physics, Kinetic Theory, and the theory of Hyperbolic Conservation Laws.

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