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Abstract We study the singularity formation of strong solutions to the two-dimensional (2D) compressible non-isothermal nematic liquid crystal flows in a bounded domain. Under a geometric condition of the initial… Click to show full abstract
Abstract We study the singularity formation of strong solutions to the two-dimensional (2D) compressible non-isothermal nematic liquid crystal flows in a bounded domain. Under a geometric condition of the initial orientation field, we show that the strong solution exists globally if the temporal integral of the maximum norm of the divergence of the velocity is bounded. Our method relies on critical Sobolev inequalities of logarithmic type and delicate energy estimates.
Keywords:
dimensional compressible;
compressible non;
isothermal nematic;
singularity formation;
non isothermal;
two dimensional
Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!