Existence of smooth solutions for the compressible barotropic Navier‐Stokes‐Korteweg system without increasing pressure law

DOI10.1002/mma.6252zbMath1446.35101OpenAlexW3003380455MaRDI QIDQ5116863

Xiao-ding Shi, Hakho Hong, Fei-Min Huang

Publication date: 19 August 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6252

zbMATH Keywords

existence uniqueness compressible Navier-Stokes-Korteweg system Van der Waals gas

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Compressible Navier-Stokes equations (76N06)

Related Items (5)

Global existence and optimal decay rates for a generic non-conservative compressible two-fluid model ⋮ The existence of global solutions for the full Navier-Stokes-Korteweg system of van der Waals gas ⋮ Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space ⋮ Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type ⋮ Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum

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