Asymptotic behavior of solutions toward the constant state to the Cauchy problem for the non-viscous diffusive dispersive conservation law

2021/07/12 by Natsumi Yoshida, Yoshida, Natsumi
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2107.07874

openalex publication_date 2021/07/12 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the asymptotic behavior of solutions to the Cauchy problem for the scalar non-viscous diffusive dispersive conservation laws where the far field states are prescribed. We proved that the solution of the Cauchy problem tends toward the constant state as time goes to infinity.

Citations

• Hyperbolic systems of conservation laws II

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