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Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with <i>L</i><sub>∞</sub> strongly elliptic coefficient tensor - MaRDI portal

Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with <i>L</i><sub>∞</sub> strongly elliptic coefficient tensor (Q5205922)

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scientific article; zbMATH DE number 7143867

Language	Label	Description	Also known as
English	Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with <i>L</i><sub>∞</sub> strongly elliptic coefficient tensor	scientific article; zbMATH DE number 7143867

Statements

scholarly article

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Potentials and transmission problems in weighted Sobolev spaces for anisotropic Stokes and Navier–Stokes systems with <i>L</i><sub>∞</sub> strongly elliptic coefficient tensor (English)

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Wolfgang L. Wendland

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Sergey E. Mikhailov

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Complex Variables and Elliptic Equations

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publication date

17 December 2019

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full work available at URL

https://arxiv.org/abs/1902.09739

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zbMATH Keywords

anisotropic Stokes system

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anisotropic Navier-Stokes systems

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\(L_\infty\) coefficients

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transmission problems

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well-posedness

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MaRDI profile type

MaRDI publication profile

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Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem

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Integral potential method for a transmission problem with Lipschitz interface in \(\mathbb{R}^{3}\) for the Stokes and Darcy-Forchheimer-Brinkman PDE systems

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Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains

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Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)

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Navier-Stokes equations on Lipschitz domains in Riemannian manifolds.

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The stationary Navier-Stokes system in nonsmooth manifolds: the Poisson problem in Lipschitz and \(C^{1}\) domains

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Layer Potential Analysis for Pseudodifferential Matrix Operators in Lipschitz Domains on Compact Riemannian Manifolds: Applications to Pseudodifferential Brinkman Operators

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Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds

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The Green function for the Stokes system with measurable coefficients

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Fundamental solutions for stationary Stokes systems with measurable coefficients

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Weak solutions for the exterior Stokes problem in weighted Sobolev spaces

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\(L^p\)-weighted theory for Navier-Stokes equations in exterior domains

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A well-posed problem for the exterior Stokes equations in two and three dimensions

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Variational approach for the Stokes and Navier-Stokes systems with nonsmooth coefficients in Lipschitz domains on compact Riemannian manifolds

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Layer potentials and Poisson problems for the nonsmooth coefficient Brinkman system in Sobolev and Besov spaces

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Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. I: Equivalence and invertibility

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Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient. II: Solution regularity and asymptotics

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ANALYSIS OF DIRECT SEGREGATED BOUNDARY-DOMAIN INTEGRAL EQUATIONS FOR VARIABLE-COEFFICIENT MIXED BVPs IN EXTERIOR DOMAINS

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Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains

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Localized boundary-domain singular integral equations of Dirichlet problem for self-adjoint second-order strongly elliptic PDE systems

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Extending Sobolev functions with partially vanishing traces from locally \(({\epsilon},{\delta})\)-domains and applications to mixed boundary problems

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Variational views of stokeslets and stresslets

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Layer potentials for general linear elliptic systems

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Green functions of conormal derivative problems for stationary Stokes system

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Flow of a liquid with an anisotropic viscosity tensor

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Convection in Porous Media

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Pseudostress-velocity formulation for incompressible Navier-Stokes equations

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An Augmented Mixed Finite Element Method for the Navier--Stokes Equations with Variable Viscosity

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The inhomogeneous Dirichlet problem in Lipschitz domains

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Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains

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Boundary integral equations

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Boundary Integral Operators on Lipschitz Domains: Elementary Results

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Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains

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

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THE STOKES PROBLEM IN ℝ<sup>n</sup>: AN APPROACH IN WEIGHTED SOBOLEV SPACES

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Spaces of Kudrjavcev type. I: Interpolation, embedding, and structure

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Potential techniques and regularity of boundary value problems in exterior non-smooth domains

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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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ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS

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Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains

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The finite element method with Lagrangian multipliers

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Theory and practice of finite elements.

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Mixed and Hybrid Finite Element Methods

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Finite Element Methods for Navier-Stokes Equations

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Newtonian and single layer potentials for the Stokes system with \(L^\infty\) coefficients and the exterior Dirichlet problem

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Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions

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The Green function for the mixed problem for the linear Stokes system in domains in the plane

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Spectral theory and complex interpolation

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The Robin problem for the Brinkman system and for the Darcy-Forchheimer-Brinkman system

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An introduction to Sobolev spaces and interpolation spaces

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Identifiers

zbMATH Open document ID

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10.1080/17476933.2019.1631293

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5205922

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