Nonstationary Stokes system in Besov spaces

DOI10.1002/mma.2796zbMath1292.35214OpenAlexW2090514595MaRDI QIDQ5406976

Wojciech M. Zajączkowski, Ewa Zadrzyńska

Publication date: 4 April 2014

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

Full work available at URL: https://doi.org/10.1002/mma.2796

zbMATH Keywords

Besov spacesexistence and uniquenessHelmholtznonstationary Stokes systemWeyl decompositionheat and Poisson equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items (4)

Nonstationary Stokes system in cylindrical domains under boundary slip conditions ⋮ On the Stokes system in cylindrical domains ⋮ Maximal \(L^1\)-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space ⋮ On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$-approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems
• On the two-phase Navier-Stokes equations with surface tension
• A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space
• On optimal initial value conditions for local strong solutions of the Navier-Stokes equations
• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• On the strong solvability of the Navier-Stokes equations
• Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm
• Nonhomogeneous time-dependent Navier-Stokes problems in \(L_ p\) Sobolev spaces
• Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
• On Almost Global Existence for the Cauchy Problem for Compressible Navier-Stokes Equations in the Lp-Framework
• On existence of solutions for the nonstationary Stokes system with boundary slip conditions
• $L_p$-Theory for a Class of Non-Newtonian Fluids
• On equivalent norms for fractional spaces
• Global special regular solutions to the Navier–Stokes equations in axially symmetric domains under boundary slip conditions

This page was built for publication: Nonstationary Stokes system in Besov spaces