LOCAL WELL-POSEDNESS TO THE 2D CAUCHY PROBLEM OF NON-ISOTHERMAL NONHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS WITH VACUUM AT INFINITY

Hong Chen; Xin Zhong

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LOCAL WELL-POSEDNESS TO THE 2D CAUCHY PROBLEM OF NON-ISOTHERMAL NONHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS WITH VACUUM AT INFINITY

机译：LOCAL WELL-POSEDNESS TO THE 2D CAUCHY PROBLEM OF NON-ISOTHERMAL NONHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS WITH VACUUM AT INFINITY

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摘要

This paper concerns the Cauchy problem of non-isothermal nonho-mogeneous nematic liquid crystal flows in R~2 with zero density at infinity. By spatial weighted energy method and a Hardy type inequality, we show the local existence and uniqueness of strong solutions provided that the initial density and the gradient of orientation decay not too slowly at infinity.

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来源
《Communications on pure and applied analysis》 |2022年第9期|3141-3169|共29页
作者
Hong Chen; Xin Zhong;
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作者单位

School of Mathematics and Statistics, Southwest University Chongqing 400715, China;

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正文语种英语
中图分类数学;
关键词
Non-isothermal nonhomogeneous nematic liquid crystal flows; local well-posedness; 2D Cauchy problem; vacuum at infinity;

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LOCAL WELL-POSEDNESS TO THE 2D CAUCHY PROBLEM OF NON-ISOTHERMAL NONHOMOGENEOUS NEMATIC LIQUID CRYSTAL FLOWS WITH VACUUM AT INFINITY

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