On the exponential decay for compressible Navier-Stokes-Korteweg equations with a drag term

DOI10.1007/s00021-021-00639-2zbMath1503.35151arXiv2004.07895OpenAlexW3017031545WikidataQ115609513 ScholiaQ115609513MaRDI QIDQ2063723

Alexis F. Vasseur, Ingrid Lacroix-Violet, Bresch, Didier, Marguerite Gisclon

Publication date: 3 January 2022

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.07895

zbMATH Keywords

relative entropylong-time behaviorglobal weak solutionexponential decayNavier-Stokes-Korteweg modelquantum modeldrag term

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) Initial-boundary value problems for higher-order parabolic equations (35K35) A priori estimates in context of PDEs (35B45) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (3)

Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ Exponential decay for 2D reduced gravity two-and-a-half layer model with quantum potential and drag force ⋮ Global dissipative solutions of the defocusing isothermal Euler–Langevin–Korteweg equations

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