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I work on the interface between continuum mechanics and the theory of partial differential equations. In recent years, my research has focused on nonlinear hyperbolic systems of conservation laws, whose solutions spontaneously develop singularities that propagate as shock waves. I am interested in the interplay between thermodynamics and analysis, in the theory of these systems, and have been striving to elucidate the fundamental role of entropy, as a stabilizing agent.
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I received a Diploma in Civil Engineering from the National Technical University of Athens (1964) and a Ph.D. in Mechanics from the Johns Hopkins University (1967). I have served as Assistant Professor at Cornell University (1968-1971),and as Associate Professor (1971-1975) and Professor (1975-) in the Division of Applied Mathematics at Brown University. Since 1984, I have been the Alumni-Alumnae University Professor at Brown.
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