A weighted setting for the stationary Navier Stokes equations under singular forcing

DOI10.1016/j.aml.2019.06.004zbMath1428.35309arXiv1905.02804OpenAlexW2951072903WikidataQ127641083 ScholiaQ127641083MaRDI QIDQ2275231

Enrique Otárola, Abner J. Salgado

Publication date: 2 October 2019

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

Full work available at URL: https://arxiv.org/abs/1905.02804

zbMATH Keywords

Muckenhoupt weightssingular sourcesa priori error estimatesweighted estimatesNavier Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (5)

Analysis of an HDG method for the Navier–Stokes equations with Dirac measures ⋮ An optimal control problem for the Navier-Stokes equations with point sources ⋮ A Posteriori Error Estimates for the Stationary Navier--Stokes Equations with Dirac Measures ⋮ Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with \(L_\infty\) tensor coefficient under relaxed ellipticity condition ⋮ Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures

Cites Work

• Finite element approximation of the Navier-Stokes equations
• \(L^p\)-weighted theory for Navier-Stokes equations in exterior domains
• The stationary Navier-Stokes equations in weighted Bessel-potential spaces
• Weighted \(L^q\)-theory for the Stokes resolvent in exterior domains
• The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing
• Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains
• Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights
• Solutions of the divergence and Korn inequalities on domains with an external cusp
• The local regularity of solutions of degenerate elliptic equations
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