Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

CT2012

Remarks on the contributions of Constantine M. Dafermos to the subject of Conservation Laws

​G-Q. Chen, A.E. Tzavaras, Remarks on the contributions of Constantine M. Dafermos to the subject of Conservation Laws, Acta Math. Scientia 32B (2012), 3-14
G-Q. Chen, A.E. Tzavaras
Hyperbolic Conservation Laws
2012
Constantine M. Dafermos has done extensive research at the interface of partial differential equations and continuum physics. He is a world leader in nonlinear hyperbolic conservation laws, where he introduced several fundamental methods in the subject including the methods of relative entropy, generalized characteristics, and wave-front tracking, as well as the entropy rate criterion for the selection of admissible wave fans. He has also made fundamental contributions on the mathematical theory of the equations of thermomechanics as it pertains in modeling and analysis of materials with memory, thermoelasticity, and thermoviscoelasticity. His work is distinctly characterized by an understanding of the fundamental issues of continuum physics and their role in developing new techniques of mathematical analysis.