Parameter-dependent Stokes problems in vector-valued spaces and applications

DOI10.1186/1687-2770-2013-172zbMath1294.35074OpenAlexW2027553017WikidataQ59299603 ScholiaQ59299603MaRDI QIDQ2251315

Veli B. Shakhmurov

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-172

zbMATH Keywords

Navier-Stokes equationsboundary value problemssemigroups of operatorsmaximal \(L^p\) regularitydifferential-operator equationsStokes systemsdifferential equations with small parameters

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Linear differential equations in abstract spaces (34G10)

Related Items (2)

Stokes equations with small parameters in half plane ⋮ Stokes operators with variable coefficients and applications

Cites Work

• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Estimates for solutions of nonstationary Navier-Stokes equations
• On the strong solvability of the Navier-Stokes equations
• Generalized resolvent estimates for the Stokes system in bounded and unbounded domains
• On the Navier-Stokes initial value problem. I
• Nonlinear abstract boundary value problems modelling atmospheric dispersion of pollutants
• \(L^p\)-theory of the Stokes equation in a half space
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity

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