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

Date

2020-12-22

Authors

Li, Fengbai
Wang, Weike
Wang, Yutong

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the Cauchy problem of conservation laws with nonlocal dissipation-type terms in R3. 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.

Description

Keywords

Conservation law, Dissipation, Cauchy problem, Equilibrium state, Green's function, Time-frequency decomposition method, Pointwise estimate

Citation

Li, F., Wang, W., & Wang, Y. (2020). Pointwise estimates of solutions to conservation laws with nonlocal dissipation-type terms. <i>Electronic Journal of Differential Equations, 2020</i>(129), pp. 1-25.

Rights

Attribution 4.0 International

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