THE POINTWISE ESTIMATES OF SOLUTIONS TO THE ISENTROPIC NAVIER–STOKES EQUATIONS IN EVEN SPACE-DIMENSIONS

DOI10.1142/S0219891605000580zbMath1083.35101OpenAlexW2161885903MaRDI QIDQ5703296

Xiongfeng Yang, Weike Wang

Publication date: 8 November 2005

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891605000580

zbMATH Keywords

dissipationglobal existenceGreen functiontime-asymptotic behaviorweak Huygen's principle

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

• Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-dimensions
• Large-time behaviour of solutions to hyperbolic–parabolic systems of conservation laws and applications
• Multi-dimensional diffusion waves for the Navier-Stokes equations of compressible flow
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions