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Athanasios Tzavaras

Professor, Applied Mathematics and Computational Science
Computer, Electrical and Mathematical Science and Engineering Division


Applied Partial Differential Equations

Affiliations

Education Profile

  • Ph.D., Applied Mathematics, Brown University, U.S., 1985
  • M.Sc., Applied Mathematics, Brown University, U.S., 1983
  • Diploma, Naval Architecture and Marine Engineering, National Technical University of Athens, Greece, 1981​

Research Interests

Professor Tzavaras' research interests include mathematical modelling, analysis and computation of fluids and materials. He also has an interest in hyperbolic conservation laws and the structure of the equations of fluid mechanics and elasticity.

Other interests include singularity formation in solid mechanics (cavitation and shear bands), multi-scale analysis, hydrodynamic limits and effective properties of fluids, as well as kinetic models of dilute polymeric systems and dynamics of discrete lattice systems.

Selected Publications

  • ​A.E. Tzavaras, Wave interactions and variation estimates for self-similar viscous limits in systems of conservation laws. Arch. Rational Mech. Anal. 135 (1996), 1-60
  • M. Katsoulakis and A.E. Tzavaras, Contractive relaxation systems and the scalar multidimensional conservation law. Comm. Partial Differential Equations 22 (1997), 195-233
  • A.E. Tzavaras, Relative entropy in hyperbolic relaxation. Comm. Math. Sci. 3 (2005), 119-132
  • F. Otto and A.E. Tzavaras, Continuity of velocity gradients in suspensions of rod-like molecules. Comm. Math. Physics 277 (2008), 729-758
  • J. Giesselmann and A.E. Tzavaras, Singular limiting induced from continuum solutions and the problem of dynamic cavitation. Arch. Rational Mech. Anal. 212 (2014), 241-281