Location

Office: Room 4426, Building 1, desert-side

Courses

Professor Tzavaras' courses

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​

Athanasios (Thanos) Tzavaras is 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

Education and career  

Tzavaras obtained a Diploma in Naval Architecture and Marine Engineering from the National Technical University of Athens, Greece, and subsequently moved to USA, where he obtained M.Sc. and Ph.D. degrees in Applied Mathematics from Brown University. He held academic positions at the University of Wisconsin-Madison (1987-2005), University of Maryland (2005-2009) and University of Crete, Greece (2002-04 and 2010-2014) and visiting positions in Purdue University, Stanford University, Ecole Polytechnique and University Paris VI. 

Areas of expertise and current scientific interests

Professor Tzavaras' research interests include mathematical modelling, and the analysis and computation of partial differential equations arising in fluid mechanics and material modelling across multiple scales.  

Within partial differential equations his interests are in the subjects:

  • hyperbolic conservation laws
  • analysis of advection-diffusion equations and systems
  • systems of partial differential equations from mathematical physics

Within Applied Mathematics he is interested in:

  • singularity formation in solid mechanics (cavitation, shear bands, fracture),
  • multi-scale analysis in material modelling and the dynamics of discrete lattice systems
  • hydrodynamic limits and kinetic theory for dilute polymeric systems.

Career recognitions

Marie-Currie Fellow (Category Experienced Researcher) 2002-03.

Professional activities

Tzavaras is a member of the American Mathematical Society (AMS), the Society of Industrial and Applied Mathematics (SIAM), and of the International Society for the Interaction of Mechanics and Mathematics.

Tzavaras is a Corresponding Editor of the SIAM Journal for Mathematical Analysis, and an Associate Editor of the Journal of Analysis and its Applications (ZAA).

Selected Publications

Christoforou, C., Galanopoulou, M., & Tzavaras, A. E. (2018). A symmetrizable extension of polyconvex thermoelasticity and applications to zero-viscosity limits and weak-strong uniqueness. Communications in Partial Differential Equations, 1–32. doi:10.1080/03605302.2018.1456551
Katsaounis, T., Kotsovos, K., Gereige, I., Al-Saggaf, A., & Tzavaras, A. (2017). 2D simulation and performance evaluation of bifacial rear local contact c-Si solar cells under variable illumination conditions. Solar Energy, 158, 34–41. doi:10.1016/j.solener.2017.09.023
Helzel, C., & Tzavaras, A. E. (2017). A Kinetic Model for the Sedimentation of Rod--Like Particles. Multiscale Modeling & Simulation, 15(1), 500–536. doi:10.1137/15m1023907
Lee, M.-G., & Tzavaras, A. (2017). Existence of Localizing Solutions in Plasticity via Geometric Singular Perturbation Theory. SIAM Journal on Applied Dynamical Systems, 16(1), 337–360. doi:10.1137/16m1087308
Giesselmann, J., & Tzavaras, A. E. (2017). Stability properties of the Euler–Korteweg system with nonmonotone pressures. Applicable Analysis, 96(9), 1528–1546. doi:10.1080/00036811.2016.1276175
Helzel, C., & Tzavaras, A. E. (2016). A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows. Physica D: Nonlinear Phenomena, 337, 18–29. doi:10.1016/j.physd.2016.07.004
Miroshnikov, A., & Tzavaras, A. E. (2014). On the Construction and Properties of Weak Solutions Describing Dynamic Cavitation. Journal of Elasticity, 118(2), 141–185. doi:10.1007/s10659-014-9488-z
Katsaounis, Th., Olivier, J. & Tzavaras, A.E. Emergence of Coherent Localized Structures in Shear Deformations of Temperature Dependent Fluids, Archive Rational Mechanics and Analysis, vol. 224, no. 1, pp. 173–208, 2017