Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms

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.

Keywords

• conservation law
• dissipation
• cauchy problem
• equilibrium state
• green's function
• time-frequency decomposition method
• pointwise estimate