Approximation of potential and solenoidal vector fields

DOI10.1007/BF00969603zbMath0599.46045MaRDI QIDQ1080115

V. N. Maslennikova, M. E. Bogovskiĭ

Publication date: 1983

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

zbMATH Keywords

Sobolev spacenoncompact boundaryapproximation of solenoidal vector fieldsbounded Lipschitz domains with a compact boundarypotential vector fieldsunbounded Lipschitz domain

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Partial differential equations of mathematical physics and other areas of application (35Q99) Approximation by other special function classes (41A30)

Related Items (8)

Global convergence in the strong norm of an iterative method for the nonstationary Navier-Stokes problem ⋮ Approximation of weak solutions of the Laplace equation by harmonic polynomials ⋮ Some new integral identities for solenoidal fields and applications ⋮ On the global convergence rate of an iterative method for the Navier-Stokes problem ⋮ \(L^p\)-Helmholtz decomposition on periodic domains and applications to Navier-Stokes equations ⋮ On the steady motion of Navier-Stokes flows past a fixed obstacle in a three-dimensional channel under mixed boundary conditions ⋮ Пространства Соболева и краевые задачи для операторов ротор и градиент дивергенции ⋮ The 3D Navier-Stokes equations: invariants, local and global solutions

Cites Work

• On uniqueness questions in the theory of viscous flow
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