The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type

DOI10.1137/19M1282076zbMath1455.35202arXiv1908.07224OpenAlexW3112170342MaRDI QIDQ5141943

Miho Murata, Yoshihiro Shibata

Publication date: 29 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.07224

zbMATH Keywords

long-time behaviorglobal well-posednessmaximal regularityNavier-Stokes-Korteweg system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

Related Items (8)

Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion ⋮ Asymptotic limit of the Navier-Stokes-Poisson-Korteweg system in the half-space ⋮ On the Stokes system in cylindrical domains ⋮ Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type ⋮ The \(L^p\) energy methods and decay for the compressible Navier-Stokes equations with capillarity ⋮ Global large solutions and optimal time-decay estimates to the Korteweg system ⋮ 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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