Asymptotic analysis of PDES, conservations laws

(1) Asymptotic analysis of PDEs: Most of the physical phenomena are modeled by Hyperbolic PDEs and in many of them feature multiple characteristics. Roughly it corresponds to studying crossings of eigenvalues of operators parametrized by a vectorial parameter. We are studying some of such situations.

(2) Conservation laws: We are studying the question of convergence generalized viscous approximations to entropy solutions of hyperbolic conservation laws.