On Strong Dynamics of Compressible Nematic Liquid Crystals

DOI10.1137/140970628zbMath1328.35181OpenAlexW1905907038MaRDI QIDQ3195483

Yoshihiro Shibata, Katharina Schade

Publication date: 19 October 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140970628

zbMATH Keywords

nematic liquid crystalglobal-in-time solutioncompressible viscous fluidmaximal \(L_{p}\)-\(L_{q}\) regularitylocal-in-time solutionquasi-linear parabolic evolution equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (9)

Global well-posedness to the compressible nematic liquid crystal flows with large oscillations and vacuum in 3D exterior domains ⋮ On the global well-posedness for the compressible Navier-Stokes equations with slip boundary condition ⋮ Maximal regularity for the thermoelastic plate equations with free boundary conditions ⋮ On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\) ⋮ Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains ⋮ On the maximal \(L_p-L_q\) regularity for a compressible fluid model of Korteweg type on general domains ⋮ Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains ⋮ On Strong Dynamics of Compressible Two-Component Mixture Flow ⋮ Generation of semigroups for the thermoelastic plate equation with free boundary conditions

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