Asymptotic analysis for 1D compressible Navier–Stokes–Vlasov equations with local alignment force

We consider the initial-boundary value problem of compressible Navier–Stokes–Vlasov equations under a local alignment regime in a one-dimensional bounded domain. Based on the relative entropy method and compactness argument, we prove that a weak solution of the initial-boundary value problem converg...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 2023-02, Vol.64 (2)
Main Authors: Shi, Xinran, Su, Yunfei, Yao, Lei
Format: Article
Language:English
Subjects:
Alignment
Boundary value problems
Compressibility
Fluid flow
Kinetic equations
Navier-Stokes equations
Physics
Vlasov equations
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the initial-boundary value problem of compressible Navier–Stokes–Vlasov equations under a local alignment regime in a one-dimensional bounded domain. Based on the relative entropy method and compactness argument, we prove that a weak solution of the initial-boundary value problem converges to a strong solution of the limiting two-phase fluid system. This work extends in some sense the previous work of Choi and Jung [Math. Models Methods Appl. Sci. 31(11), 2213–2295 (2021)], which considered the diffusive term ∂ξξfɛ in the kinetic equation. Note that the diffusion term was not considered in this paper.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0095440