On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework

DOI10.1515/JAA.2001.61zbMath1006.35073OpenAlexW1991871388MaRDI QIDQ2747068

Piotr Bogusław Mucha

Publication date: 2 March 2003

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2001.61

zbMATH Keywords

Cauchy problemregular solution\(L_r\)-estimates

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Nonstationary Stokes system in anisotropic Sobolev spaces ⋮ Nonstationary Stokes system in Besov spaces ⋮ A well-posedness result for viscous compressible fluids with only bounded density ⋮ The Cauchy problem for the compressible Navier-Stokes equations in the \(L_p\)-framework ⋮ On a \(L_{p}\)-estimate for the linearized compressible Navier-Stokes equations with the Dirichlet boundary conditions.

Cites Work

• Navier-Stokes equations for compressible fluids: Global existence and qualitative properties of the solutions in the general case

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