Dirichlet problem for a nonlinear generalized Darcy-Forchheimer-Brinkman system in Lipschitz domains

DOI10.1002/mma.3302zbMath1336.35138OpenAlexW1984287841MaRDI QIDQ2795373

Wolfgang L. Wendland, Mirela Kohr, Teodor Grosan

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3302

zbMATH Keywords

Dirichlet problemnonlinear operatorfixed point theoremLipschitz domainlayer potentialsnonlinear generalized Darcy-Forchheimer-Brinkman systemStokes and Brinkman systems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (10)

Classical solutions of the Dirichlet problem for the Darcy-Forchheimer-Brinkman system ⋮ Boundary integral approach for the mixed Dirichlet-Robin boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system ⋮ A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain ⋮ One Navier's problem for the Brinkman system ⋮ On the lid-driven problem in a porous cavity. A theoretical and numerical approach ⋮ On a Dirichlet problem for the Darcy-Forchheimer-Brinkman system with application to lid-driven porous cavity flow with internal square block ⋮ A Poisson problem of transmission-type for the Stokes and generalized Brinkman systems in complementary Lipschitz domains in \(\mathbb{R}^3\) ⋮ The Robin problem for the Brinkman system and for the Darcy-Forchheimer-Brinkman system ⋮ Classical solutions of the Robin problem for the Darcy-Forchheimer-Brinkman system ⋮ On transmission-type problems for the generalized Darcy-Forchheimer-Brinkman and stokes systems in complementary lipschitz domains in R3

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