Special Session 57: 

Global Existence of Large Solutions to Conservation Laws with Nonlocal Dissipation-Type Terms

Lijuan WANG
Shanghai University of International Business and Economics
Peoples Rep of China
Co-Author(s):    Weike Wang, Xin Xu
Abstract:
We are concerned with the Cauchy problem of a scalar conservation law with a nonlocal dissipation term. By the Green function and nonlinear maximum principle method, global classical solution and its long-time behavior are established in present paper for arbitrary large initial data.