Generalized solutions with the first-order derivatives in \(L_ p\) to the flow problem for the Stokes system

DOI10.1007/BF02104943zbMath0830.35102OpenAlexW2046838141MaRDI QIDQ1897972

V. N. Maslennikova, M. A. Timoshin

Publication date: 20 September 1995

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02104943

zbMATH Keywords

solenoidal vector fieldskernelcokernelhomogeneous problema priori estimates for generalized solutionsstationary flow of a viscous incompressible fluid around several bodies

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (8)

Pontryagin maximum principle, (co)adjoint representation, and normal geodesics of left-invariant (sub-)Finsler metrics on Lie groups ⋮ Extremals of a left-invariant sub-Finsler metric on the Engel group ⋮ Coadjoint orbits and time-optimal problems for step-2 free nilpotent Lie groups ⋮ Universal methods of the search of normal geodesics on Lie groups with left-invariant sub-Riemannian metric ⋮ The geometry of \(cc\)-balls and the constants in the ball-box theorem on Heisenberg group algebras ⋮ Explicit formulae for geodesics in left-invariant sub-Finsler problems on Heisenberg groups via convex trigonometry ⋮ Periodic time-optimal controls on two-step free-nilpotent Lie groups ⋮ Solution of the stationary flow problem in the Stokes statement in the \(L_p^2(\Omega)\) spaces

Cites Work

• On a constrained variational problem and the space of horizontal paths
• Reduction of nonholonomic variation problems to isoperimetric ones and connections in principal bundles
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