Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular

DOI10.1016/j.aml.2018.12.017zbMath1407.35056OpenAlexW2907829584WikidataQ128688988 ScholiaQ128688988MaRDI QIDQ1726659

Chérif Amrouche, Maria Angeles Rodríguez-Bellido

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.12.017

zbMATH Keywords

Hardy spacesstationary solutionsirregular dataOseen equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)

Related Items (1)

Variational principles in quaternionic analysis with applications to the stationary MHD equations

Cites Work

• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Compensated compactness and Hardy spaces
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Degree theory and BMO. II: Compact manifolds with boundaries. (Appendix with Petru Mironescu)
• \(H^p\) spaces of several variables
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• THE STOKES PROBLEM IN ℝⁿ: AN APPROACH IN WEIGHTED SOBOLEV SPACES
• On Weak Solutions of Elliptic Equations with Singular Drifts

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