Linearized Navier-Stokes equations in \(\mathbb{R}^3\): an approach in weighted Sobolev spaces

DOI10.3934/dcdss.2014.7.901zbMath1302.35292OpenAlexW2332961430MaRDI QIDQ478877

Mohamed Meslameni, Chérif Amrouche, Šarka Matušú-Nečasová

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.901

zbMATH Keywords

generalized solutionsexistenceuniquenessweighted Sobolev spacesstrong solutionsgeneralized Oseen equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Strong solutions to PDEs (35D35)

Related Items (3)

The Oseen and Navier-Stokes equations in a non-solenoidal framework ⋮ On the stationary Navier-Stokes problem in \(\mathbb {R}^3\): an approach in weighted Sobolev spaces ⋮ Fixed point theory in fluid mechanics: an application to the stationary Navier-Stokes problem

Cites Work

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• On the stationary Oseen equations in \(\mathbb R^3\)
• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• The stationary exterior 3D-problem of Oseen and Navier-Stokes equations in anisotropically weighted spaces
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• THE STOKES PROBLEM IN ℝⁿ: AN APPROACH IN WEIGHTED SOBOLEV SPACES

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