Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions

DOI10.1002/mana.200310365zbMath1117.35060OpenAlexW2145358889MaRDI QIDQ5467049

Helmut Abels

Publication date: 23 May 2006

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200310365

zbMATH Keywords

pseudodifferential operatorsfree boundary problemsStokes equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Boundary value problems for PDEs with pseudodifferential operators (35S15) Free boundary problems for PDEs (35R35)

Related Items (8)

Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces ⋮ Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class ⋮ Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations ⋮ Generalized resolvent estimates of the Stokes equations with first order boundary condition in a general domain ⋮ Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains ⋮ On Stokes operators with variable viscosity in bounded and unbounded domains ⋮ The Spin-Coating Process: Analysis of the Free Boundary Value Problem ⋮ On the ‐boundedness of solution operator families of the generalized Stokes resolvent problem in an infinite layer

Cites Work

• Functional calculus of pseudodifferential boundary problems.
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