Dirichlet and transmission problems for anisotropic Stokes and Navier-Stokes systems with \(L_\infty\) tensor coefficient under relaxed ellipticity condition

DOI10.3934/dcds.2021042zbMath1473.35216OpenAlexW3134246314MaRDI QIDQ2031231

Mirela Kohr, Wolfgang L. Wendland, Sergey E. Mikhailov

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021042

zbMATH Keywords

existence results\(L^2\)-based Sobolev spacesanisotropic Navier-Stokes systemanisotropic Stokes system with \(L_\infty\) tensor coefficientDirichlet-transmission problemsvariational problem and \(L_2\)-based weighted Sobolev spaces

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to problems in fluid mechanics (76M30) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Boundary value problems for second-order elliptic systems (35J57)

Related Items

On some mixed-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces, Non-homogeneous Dirichlet-transmission problems for the anisotropic Stokes and Navier-Stokes systems in Lipschitz domains with transversal interfaces, A Dirichlet-transmission problem for Darcy-Forchheimer-Brinkman and Navier-Stokes equations in bounded Lipschitz domain, Stationary anisotropic Stokes, Oseen and Navier–Stokes systems: Periodic solutions in ℝⁿ

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