Special Session 94: Dynamics and Variational Methods of Quasi-Hamiltonian Systems

On the vanishing viscosity limit of Hamilton-Jacobi equations
Zibo Wang
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, we try to develop a unified framework for the vanishing viscosity limit of Hamilton-Jacobi equations. Our approach aims to establish the convergence of viscous approximations within the class of Tonelli Hamiltonians. Moreover, we provide quantitative estimates on the rate of convergence. This is a joint work with Jianlu Zhang.