Global strong solution for the Korteweg system with quantum pressure in dimension \(N\geq 2\)

DOI10.1007/s00208-016-1391-4zbMath1365.35121arXiv1606.03965OpenAlexW2296908186MaRDI QIDQ514361

Boris Haspot

Publication date: 1 March 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03965

zbMATH Keywords

strong solutionsregularity of solutionscompressible Navier-Stokes systemDeGiorgi methodquantum pressure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (13)

On the well-posedness of the compressible Navier-Stokes-Korteweg system with special viscosity and capillarity ⋮ Global existence of finite energy weak solutions of quantum Navier-Stokes equations ⋮ Radius of analyticity of solutions to compressible Navier–Stokes–Korteweg system ⋮ Global smooth solutions of 3‐D Navier‐Stokes‐Korteweg equations with large initial data ⋮ On the blow‐up phenomena of the compressible Navier‐Stokes‐Korteweg system with degenerate viscosity ⋮ Global existence and analyticity of \(L^p\) solutions to the compressible fluid model of Korteweg type ⋮ Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type ⋮ Blow up of classical solutions to the barotropic compressible fluid models of Korteweg type in bounded domains ⋮ 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 ⋮ Unnamed Item ⋮ Global large solutions and incompressible limit for the compressible Navier-Stokes system with capillarity ⋮ Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity

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