Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity

DOI10.1512/iumj.2021.70.8629zbMath1481.76176arXiv1805.01764OpenAlexW2799841725MaRDI QIDQ5014751

Frédéric Charve, Jiang Xu, Raphaël Danchin

Publication date: 8 December 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01764

zbMATH Keywords

uniquenessCauchy problemglobal existencecritical Besov spaceGevrey regularitytime decay rateNavier-Stokes-Korteweg systemasymptotic equilibrium

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Transition to turbulence (76F06)

Related Items (10)

Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity ⋮ Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system ⋮ Global existence and optimal decay rates for a generic non-conservative compressible two-fluid model ⋮ 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 ⋮ Analyticity of solutions to the barotropic compressible Navier-Stokes equations ⋮ 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 ⋮ The Gevrey analyticity and decay for the micropolar system in the critical Besov space ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity

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