Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 129, pp. 1-25.

Title: Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms
       
Authors: Fengbai Li  (Shanghai Univ. of Finance and Economics, Shanghai, China)
         Weike Wang  (Shanghai Jiao Tong Univ., Shanghai, China)
         Yutong Wang (Shanghai Jiao Tong Univ., Shanghai, China)

Abstract:
 This article concerns the Cauchy problem of conservation laws with nonlocal
 dissipation-type terms in R^3. By using Green's function and the 
 time-frequency  decomposition method, we study global classical solutions 
 and their long time  behavior including pointwise estimates for large initial data,
 for solutions near the nontrivial equilibrium state.

Submitted February 12, 2020. Published December 22, 2020.
Math Subject Classifications: 35A01, 35A22, 35A25.
Key Words: Conservation law; dissipation; Cauchy problem; equilibrium state;
           Green's function; time-frequency decomposition method; pointwise estimate.