Volume 32, Issue 4
Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space

Congchong Guo

Ann. Appl. Math., 32 (2016), pp. 357-379.

Published online: 2022-06

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  • Abstract

In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical Lebesgue space, and study the space-time regularity of the local solution.

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35B65

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COPYRIGHT: © Global Science Press

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@Article{AAM-32-357, author = {Guo , Congchong}, title = {Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {4}, pages = {357--379}, abstract = {

In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical Lebesgue space, and study the space-time regularity of the local solution.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20649.html} }
TY - JOUR T1 - Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space AU - Guo , Congchong JO - Annals of Applied Mathematics VL - 4 SP - 357 EP - 379 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20649.html KW - space-time regularity, liquid crystal system, critical Sobolev space. AB -

In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical Lebesgue space, and study the space-time regularity of the local solution.

Congchong Guo. (2022). Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space. Annals of Applied Mathematics. 32 (4). 357-379. doi:
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