Boundary value problem for stationary Stokes equations with impermeability boundary condition

DOI10.1007/s10958-015-2365-xzbMath1321.35160OpenAlexW2035197796MaRDI QIDQ2515210

Yulii A. Dubinskii

Publication date: 31 July 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2365-x

zbMATH Keywords

Stokes equationsPoisson equationsde Rham theoremimpermeability boundary condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) de Rham theory in global analysis (58A12) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

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• On some boundary value problems for a system of Poisson equations in a three-dimensional domain
• Decompositions of the Sobolev scale and gradient-divergence scale into the sum of solenoidal and potential subspaces
• Some coercive problems for the system of Poisson equations