Very weak solutions for the Stokes problem in an exterior domain
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Publication:467110
DOI10.1007/s11565-012-0166-4zbMath1302.35291OpenAlexW2028017330MaRDI QIDQ467110
Chérif Amrouche, Mohamed Meslameni
Publication date: 3 November 2014
Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11565-012-0166-4
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) Weak solutions to PDEs (35D30)
Related Items (3)
Linearized Navier-Stokes equations with boundary conditions involving the pressure in an exterior domain of \(\mathbb{R}^3\) ⋮ Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in Lp‐theory ⋮ The stationary Oseen equations in an exterior domain: an approach in weighted Sobolev spaces
Cites Work
- Unnamed Item
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- A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
- Stationary Stokes, Oseen and Navier-Stokes equations with singular data
- A well-posed problem for the exterior Stokes equations in two and three dimensions
- Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
- Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces
- On the semigroup of the Stokes operator for exterior domains in L q- spaces
- Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
- The Stokes problem and vector potential operator in three-dimensional exterior domains: An approach in weighted Sobolev spaces
- Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
- Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
- 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 \(\mathbb R^2\)
- On the exterior stationary problem for the Navier-Stokes equations, and associated perturbation problems
- Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
- A stream-function-vorticity variational formulation for the exterior Stokes problem in weighted Sobolev spaces
- Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
- THE STOKES PROBLEM IN ℝn: AN APPROACH IN WEIGHTED SOBOLEV SPACES
- Exterior stokes problems and decay at infinity
- Weak solutions for the exterior Stokes problem in weighted Sobolev spaces
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