Research output per year
Research output per year
Personal profile
Research Overview
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.
Key Research Areas
Applied Mathematics and Computational Science
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education
Applied Mathematics, Ph.D., Brown University
1985
Award Date: Jan 1 1985
Applied Mathematics, M.S., Brown University
1983
Award Date: Jan 1 1983
Naval Architecture and Marine Engineering, Diploma, National Technical University of Athens
1981
Award Date: Jan 1 1981
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Collaborations and top research areas from the last five years
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Contractive relaxation systems and the scalar multidimensional conservation law
Katsoulakis, M. A. & Tzavaras, A. E., 1997, In: Communications in Partial Differential Equations. 22, 1-2, p. 195-233 39 p.Research output: Contribution to journal › Article › peer-review
74 Scopus citations -
Materials with internal variables and relaxation to conservation laws
Tzavaras, A. E., May 28 1999, In: Archive for Rational Mechanics and Analysis. 146, 2, p. 129-155 27 p.Research output: Contribution to journal › Article › peer-review
58 Scopus citations -
Representation of weak limits and definition of nonconservative products
LeFloch, P. G. & Tzavaras, A. E., Oct 1999, In: SIAM Journal on Mathematical Analysis. 30, 6, p. 1309-1342 34 p.Research output: Contribution to journal › Article › peer-review
85 Scopus citations -
Continuity of velocity gradients in suspensions of rod-like molecules
Otto, F. & Tzavaras, A. E., Feb 2008, In: Communications in Mathematical Physics. 277, 3, p. 729-758 30 p.Research output: Contribution to journal › Article › peer-review
57 Scopus citations -
Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
Tzavaras, A. E., Oct 18 1996, In: Archive for Rational Mechanics and Analysis. 135, 1, p. 1-60 60 p.Research output: Contribution to journal › Article › peer-review
42 Scopus citations -
A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy
Demoulini, S., Stuart, D. M. A. & Tzavaras, A. E., May 5 2001, In: Archive for Rational Mechanics and Analysis. 157, 4, p. 325-344 20 p.Research output: Contribution to journal › Article › peer-review
44 Scopus citations -
Diffusive N-waves and metastability in the burgers equation
Kim, Y. J. & Tzavaras, A. E., 2001, In: SIAM Journal on Mathematical Analysis. 33, 3, p. 607-633 27 p.Research output: Contribution to journal › Article › peer-review
Open Access39 Scopus citations -
A limiting viscosity approach for the Riemann problem in isentropic gas dynamics
Slemrod, M. & Tzavaras, A. E., 1989, In: Indiana University Mathematics Journal. 38, 4, p. 1047-1074 28 p.Research output: Contribution to journal › Article › peer-review
Prizes
Press/Media
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Institute of Applied and Computational Mathematics Researcher Publishes New Study Findings on Renewable and Sustainable Energy (Robust day-ahead solar forecasting with endogenous data and sliding windows)
05/8/24
1 item of Media coverage
Press/Media: Press / Media