Laboratoire Jacques-Louis Lions

Necessary Conditions for Shock Solutions to a Hyperelastoplastic Model

We propose a formulation of hyperelastoplasticity such that one can pass to the limit regime of rate-independent plasticity. It results in a family of modified entropy inequalities. A key ingredient is the Hencky logarithmic plastic tensor. A discussion of possible shock solution...

Global propagation of analyticity and unique continuation for semilinear waves

In this article, we develop a new method to prove both global propagation of analyticity and unique continuation in finite time for solutions of semilinear wave-type equations with analytic nonlinearity. It combines control theory techniques and Galerkin approximation, inspired b...