Maximal regularity of the spatially periodic stokes operator and application to nematic liquid crystal flows
From MaRDI portal
Publication:2810153
DOI10.1007/s10587-016-0237-2zbMath1374.35041OpenAlexW2320616989MaRDI QIDQ2810153
Publication date: 31 May 2016
Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10338.dmlcz/144878
quasilinear parabolic equationsStokes operatormaximal \(L^p\) regularitynematic liquid crystal flowspatially periodic problem
PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Quasilinear parabolic equations (35K59)
Related Items
Fully developed, doubly periodic, viscous flows in infinite space-periodic pipes under general time-periodic total fluxes ⋮ Weighted resolvent estimates for the spatially periodic Stokes equations ⋮ An extrapolation theorem in non-Euclidean geometries and its application to partial differential equations ⋮ Time-Periodic Linearized Navier–Stokes Equations: An Approach Based on Fourier Multipliers ⋮ Instationary generalized Stokes equations in partially periodic domains
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness for the heat flow of harmonic maps and the liquid crystal flow with rough initial data
- Theory and applications of liquid crystals
- Weighted resolvent estimates for the spatially periodic Stokes equations
- Resolvent estimates and maximal regularity in weighted \(L^{q}\)-spaces of the Stokes operator in an infinite cylinder
- Calderón-Zygmund theory for operator-valued kernels
- An extrapolation theorem in non-Euclidean geometries and its application to partial differential equations
- Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
- Quasilinear Evolution Equations and Parabolic Systems
- On vector-valued Fourier multiplier theorems
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Nonparabolic dissipative systems modeling the flow of liquid crystals
- Distributions sur un groupe localement compact et applications à l'étude des représentations des groupes $p$-adiques
