On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in \(\mathbb R^N\)

DOI10.1007/s00028-016-0358-yzbMath1367.35128OpenAlexW2521733832MaRDI QIDQ2397423

Yoshihiro Shibata, Maria Elena Schonbek

Publication date: 22 May 2017

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-016-0358-y

zbMATH Keywords

regularitynematic liquid crystalsquasilinear parabolic evolution equationsglobal solutions in \(\mathbb R^N\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Strong solutions to PDEs (35D35) Quasilinear parabolic equations (35K59)

Related Items (6)

On the $${\mathscr {R}}$$ R -Bounded Solution Operator and the Maximal $$L_p$$ L p - $$L_q$$ L q Regularity of the Stokes Equations With Free Boundary Condition ⋮ On standing waves and gradient-flow for the Landau-De Gennes model of nematic liquid crystals ⋮ On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain ⋮ Global well-posedness and decay for a \(\mathbb{Q}\) tensor model of incompressible nematic liquid crystals in \(\mathbb{R}^N\) ⋮ The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type ⋮ Local well-posedness of free surface problems for the Navier-Stokes equations in a general domain

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