Global existence of classical solutions with large oscillations and vacuum to the three-dimensional compressible nematic liquid crystal flows

DOI10.1007/s00021-018-0400-7zbMath1404.76019arXiv1204.4966OpenAlexW2891064267WikidataQ129211181 ScholiaQ129211181MaRDI QIDQ1756647

Zhonghai Xu, Jinkai Li, Jian-Wen Zhang

Publication date: 21 December 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4966

zbMATH Keywords

vacuumglobal well-posednesslarge-time behaviorlarge oscillationscompressible nematic liquid crystal flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (15)

Strong solutions to the 2D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum at infinity ⋮ Global well-posedness to the compressible nematic liquid crystal flows with large oscillations and vacuum in 3D exterior domains ⋮ Optimal time-decay rates of the 3D compressible nematic liquid crystal flows with discontinuous initial data and large oscillations ⋮ \(L^\infty\) continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuum ⋮ Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain ⋮ A new blowup criterion of strong solutions to the two‐dimensional equations of compressible nematic liquid crystal flows ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ Global strong solutions to the compressible nematic liquid crystal flows with large oscillations and vacuum in 2D bounded domains ⋮ Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains ⋮ Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ On the global existence of classical solutions for compressible nematic liquid crystal flows with vacuum ⋮ On \(L^p\) estimates for a simplified Ericksen-Leslie system ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction ⋮ Existence and uniqueness of solution to one-dimensional compressible biaxial nematic liquid crystal flows

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