Global smooth solutions to the nonisothermal compressible fluid models of Korteweg type with large initial data
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Publication:1684425
DOI10.1007/s00033-017-0822-8zbMath1379.35235arXiv1510.05242OpenAlexW2962788046MaRDI QIDQ1684425
Huijiang Zhao, Zhengzheng Chen, Lin He
Publication date: 8 December 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05242
global solutionslarge initial dataNavier-Stokes-Korteweg systemcapillarity and heat conductivity coefficientsdensity- and/or temperature-dependent viscosity
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (9)
Stability of the planar rarefaction wave to three-dimensional full compressible Navier-Stokes-Korteweg equations ⋮ Vanishing capillarity limit of the compressible non-isentropic Navier-Stokes-Korteweg system to Navier-Stokes system ⋮ Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type ⋮ Large-time behavior of solutions in the critical spaces for the non-isentropic compressible Navier-Stokes equations with capillarity ⋮ Stationary solutions to the one-dimensional full compressible Navier-Stokes-Korteweg equations in the half line ⋮ Zero‐viscosity‐capillarity limit towards rarefaction wave for the full Navier–Stokes–Korteweg system of compressible fluids ⋮ Global stability of combination of a viscous contact wave with rarefaction waves for the compressible fluid models of Korteweg type ⋮ Asymptotic behavior of solutions to the full compressible Navier-Stokes-Korteweg equations in the half space ⋮ Global well-posedeness and large time asymptotic behavior of 2D density-dependent Boussinesq equations of Korteweg type with vacuum
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