Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in Lp‐theory (Q6182008)

scientific article; zbMATH DE number 7781146

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English	Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in <i>L</i><sup><i>p</i></sup>‐theory	scientific article; zbMATH DE number 7781146

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instance of

scholarly article

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title

Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in Lp‐theory (English)

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zbMATH Open document ID

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Mathematical Methods in the Applied Sciences

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publication date

20 December 2023

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Mathematics Subject Classification ID

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Navier boundary condition

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strong solution

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existence

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uniqueness

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weighted Sobolev space

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duality argument

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8537

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OpenAlex ID

W4284673377

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cites work

Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace

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Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)

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Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces

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Q4854759

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Analyticity of the semi-group generated by the Stokes operator with Navier-type boundary conditions on 𝐿^{𝑝}-spaces

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The time-dependent Stokes problem with Navier slip boundary conditions on \(L^p\)-spaces

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Wall laws for fluid flows at a boundary with random roughness

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Why viscous fluids adhere to rugose walls: A mathematical explanation.

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Q5409465

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\(L^p\)-theory for the exterior Stokes problem with Navier's type slip-without-friction boundary conditions

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Vorticity and regularity for flows under the Navier boundary condition

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On the existence of hydrodynamic motion in a domain with free boundary type conditions

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On the hydrodynamic motion in a domain with mixed boundary conditions: Existence, uniqueness, stability and linearization principle

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On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions

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\(L^p\)-theory for Stokes and Navier-Stokes equations with Navier boundary condition

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Navier-Stokes equations with Navier boundary condition

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Stokes and Navier-Stokes equations with Navier boundary conditions

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Uniform \(W^{1,p}\) estimates for an elliptic operator with Robin boundary condition in a \(\mathcal{C}^1\) domain

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Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions

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\(L^p\)-strong solution for the stationary exterior Stokes equations with Navier boundary condition

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Weighted Hilbert spaces for the stationary exterior Stokes problem with Navier slip boundary conditions

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On the Navier problem for the stationary Navier-Stokes equations

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Q5549989

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Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data

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Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)

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A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data

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Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension

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Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces

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On the very weak solution for the Oseen and Navier-Stokes equations

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Very weak solutions for the stationary Oseen and Navier-Stokes equations

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On the Stokes equations with the Navier-type boundary conditions

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Very weak solutions for the Stokes problem in an exterior domain

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Very weak, generalized and strong solutions to the Stokes system in the half-space

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From Strong to Very Weak Solutions to the Stokes System with Navier Boundary Conditions in the Half-Space

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Q5591751

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Mathematics(1 entry)

mardi Publication:6182008

Very weak solution for the stationary exterior Stokes equations with non‐standard boundary conditions in <i>L</i><sup><i>p</i></sup>‐theory (Q6182008)

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Mathematics(1 entry)