The stationary and non‐stationary stokes system in exterior domains with non‐zero divergence and non‐zero boundary values

DOI10.1002/mma.1670170405zbMath0798.35125OpenAlexW1976209251MaRDI QIDQ4289924

Hermann Sohr, Reinhard Farwig

Publication date: 30 October 1994

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

Full work available at URL: https://doi.org/10.1002/mma.1670170405

zbMATH Keywords

existenceuniquenessgeneralized Stokes systemnon-stationary Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30)

Related Items (7)

Unnamed Item ⋮ Time-discretized steady compressible Navier-Stokes equations with inflow and outflow boundaries ⋮ Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains ⋮ On the Stokes problem with nonzero divergence ⋮ Well posedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid ⋮ Boundary partial regularity for the Navier-Stokes equations ⋮ On the slow motion of a self-propelled rigid body in a viscous incompressible fluid.

Cites Work

• On the equations rot\ v\(=g\) and div\ u\(=f\) with zero boundary conditions
• Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
• Unnamed Item

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