Global existence and time decay estimate of solutions to the compressible Navier–Stokes–Korteweg system under critical condition

DOI10.3233/ASY-201600zbMath1472.35302arXiv1905.03542MaRDI QIDQ4999981

Kazuyuki Tsuda, Takayuki Kobayashi

Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.03542

zbMATH Keywords

global solutionpartial differential equationscompressible Navier-Stokes-Korteweg systemtime decay rate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (max. 100)

Global smooth solutions of 3‐D Navier‐Stokes‐Korteweg equations with large initial data ⋮ 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-posedness and time-decay estimates of the compressible Navier-Stokes-Korteweg system in critical Besov spaces ⋮ Resolvent estimates for a compressible fluid model of Korteweg type and their application ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity

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