3 papers
math.DS2022
Vanishing asymptotic Maslov index for conformally symplectic flows
Marie-Claude Arnaud, Anna Florio, Valentine Roos
Motivated by Mather theory of minimizing measures for symplectic twist dynamics, we study conformally symplectic flows on a cotangent bundle. These dynamics are the most general dy…
math.OC2018
Non-existence of global characteristics for viscosity solutions
Valentine Roos
Two different types of generalized solutions, namely viscosity and variational solutions, were introduced to solve the first-order evolutionary Hamilton--Jacobi equation. They coin…
math.SG2018
Variational and viscosity operators for the evolutive Hamilton-Jacobi equation
Valentine Roos
We study the Cauchy problem for the first order evolutive Hamilton-Jacobi equation with a Lipschitz initial condition. The Hamiltonian is not necessarily convex in the momentum var…