Stationary Stokes, Oseen and Navier-Stokes equations with singular data
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Publication:717444
DOI10.1007/s00205-010-0340-8zbMath1229.35164OpenAlexW2007843220MaRDI QIDQ717444
Chérif Amrouche, Maria Angeles Rodríguez-Bellido
Publication date: 4 October 2011
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-010-0340-8
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)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
- Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
- Very weak solutions for the stationary Oseen and Navier-Stokes equations
- Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces
- Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
- Regularity results for elliptic equations in Lipschitz domains
- Solvability of the Navier-Stokes system with \(L^2\) boundary data
- On the strong solvability of the Navier-Stokes equations
- The Dirichlet problem for the Stokes system on Lipschitz domains
- Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
- Very weak solutions for the stationary Stokes equations
- Very weak, generalized and strong solutions to the Stokes system in the half-space
- Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)
- Linear and quasilinear elliptic equations
- Su un problema al contorno relativo al sistema di equazioni di Stokes
- Weighted Sobolev spaces for a scalar model of the stationary Oseen equations in \(\mathbb{R}^{3}\)
- Finite Element Methods for Navier-Stokes Equations
- EXISTENCE AND REGULARITY RESULTS FOR THE STOKES SYSTEM WITH NON-SMOOTH BOUNDARY DATA IN A POLYGON
- Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
- A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
- The Inhomogeneous Neumann Problem in Lipschitz Domains
- On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains
- Estimates for the Stokes operator in Lipschitz domains
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