Asymptotic Behavior of Solutions to An Impermeable Wall Problem of the Compressible Fluid Models of Korteweg Type with Density-dependent Viscosity and Capillarity

DOI10.1137/20M1340319zbMath1462.35284MaRDI QIDQ5855629

Zhengzheng Chen, Yeping Li

Publication date: 19 March 2021

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

zbMATH Keywords

global stabilityrarefaction wavesimpermeable wall problemcompressible fluid models of Korteweg-typedensity-dependent viscosity and capillarity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Hyperbolic conservation laws (35L65) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Strong solutions to PDEs (35D35) Compressible Navier-Stokes equations (76N06)

Related Items (5)

Asymptotic stability of rarefaction wave for the compressible Navier‐Stokes‐Korteweg equations in the half space ⋮ Zero-viscosity-capillarity limit to the planar rarefaction wave for the 2D compressible Navier-Stokes-Korteweg equations ⋮ Asymptotic stability of a nonlinear wave for the compressible Navier-Stokes-Korteweg equations in the half space ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Large-time behavior of solutions to an inflow problem for the compressible Navier-Stokes-Korteweg equations in the half space

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