Asymptotic profiles for the compressible Navier-Stokes equations in the whole space

DOI10.1016/j.jmaa.2016.07.024zbMath1358.35092OpenAlexW2501558479MaRDI QIDQ323803

Masatoshi Okita, Yoshiyuki Kagei

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.024

zbMATH Keywords

convergence ratecompressible Navier-Stokes equationsasymptotic profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Compressible fluids and gas dynamics (76N99) Strong solutions to PDEs (35D35)

Related Items (4)

Asymptotic profile of global solutions to the generalized double dispersion equation via the nonlinear term ⋮ Asymptotic profiles and convergence rate of the compressible fluid models of Korteweg type ⋮ Asymptotic approximation of a modified compressible Navier-Stokes system ⋮ Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation

Cites Work

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• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• On the fluid-dynamical approximation to the Boltzmann equation at the level of the Navier-Stokes equation
• Remark on the rate of decay of solutions to linearized compressible Navier-Stokes equations.
• Fourier Analysis and Nonlinear Partial Differential Equations
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• ON THE CONVERGENCE RATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH POTENTIAL FORCE

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