A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\)

DOI10.11650/tjm/190408zbMath1436.35119OpenAlexW2944999163MaRDI QIDQ1988610

Andrei-Florin Albişoru

Publication date: 23 April 2020

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1557799218

zbMATH Keywords

Sobolev spacesFredholm operatorsStokes systemtransmission problemsBrinkman systemlayer potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain

Cites Work

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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
• Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains
• Convergence of the Neumann series in BEM for the Neumann problem of the Stokes system
• A well-posed problem for the exterior Stokes equations in two and three dimensions
• Boundary integral equations
• Boundary layers on Sobolev-Besov spaces and Poisson's equation for the Laplacian in Lipschitz domains
• The Dirichlet problem for the Stokes system on Lipschitz domains
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains
• Boundary value problems of Robin type for the Brinkman and Darcy-Forchheimer-Brinkman systems in Lipschitz domains
• Poisson problems for semilinear Brinkman systems on Lipschitz domains in \(\mathbb{R}^n\)
• Transmission problems for the Navier-Stokes and Darcy-Forchheimer-Brinkman systems in Lipschitz domains on compact Riemannian manifolds
• Espaces de Sobolev avec poids application au problème de Dirichlet dans un demi espace
• Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains
• Transmission problem for the Brinkman system
• Dirichlet Problem for the Stationary Navier-Stokes System on Lipschitz Domains
• Convection in Porous Media
• Boundary Integral Operators on Lipschitz Domains: Elementary Results