The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity

DOI10.1016/j.matpur.2021.08.009zbMath1480.76098OpenAlexW3093172274MaRDI QIDQ1983089

Yoshihiro Shibata, Shuichi Kawashima, Jiang Xu

Publication date: 15 September 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2021.08.009

zbMATH Keywords

energy methodcritical Besov spaceNavier-Stokes-Korteweg equationstime-decay ratenonlinear density-dependent capillarity

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Related Items

Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion, Dissipative structure of one-dimensional isothermal compressible fluids of Korteweg type, Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity, Symmetrization and local existence of strong solutions for diffuse interface fluid models, Global existence and optimal decay rates for a generic non-conservative compressible two-fluid model, Global existence and optimal time decay for the viscous liquid-gas two-phase flow model in the \(L^p\) critical Besov space, Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type, Resolvent estimates for a compressible fluid model of Korteweg type and their application

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