Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity
DOI10.4310/CMS.2023.V21.N6.A1zbMath1528.35128arXiv2112.09263OpenAlexW4386955706MaRDI QIDQ6071738
Publication date: 28 November 2023
Published in: Communications in Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.09263
vacuumglobal well-posednessheat conducting compressible nematic liquid crystal systemscaling invariant quantity
PDEs in connection with fluid mechanics (35Q35) Heat equation (35K05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) 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)
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