Energy conservative solutions to a nonlinear wave system of nematic liquid crystals

Geng Chen; Ping Zhang; Yuxi Zheng

doi:10.3934/cpaa.2013.12.1445

Energy conservative solutions to a nonlinear wave system of nematic liquid crystals

Geng Chen, Ping Zhang, Yuxi Zheng

Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We establish the global existence of solutions to the Cauchy problem for a system of hyperbolic partial differential equations in one space dimension modeling a type of nematic liquid crystals that has equal splay and twist coefficients. Our results have no restrictions on the angles of the director, as we use the director in its natural three-component form, rather than the two-component form of spherical angles.

Original language	English (US)
Pages (from-to)	1445-1468
Number of pages	24
Journal	Communications on Pure and Applied Analysis
Volume	12
Issue number	3
DOIs	https://doi.org/10.3934/cpaa.2013.12.1445
State	Published - May 2013

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.3934/cpaa.2013.12.1445

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abstract = "We establish the global existence of solutions to the Cauchy problem for a system of hyperbolic partial differential equations in one space dimension modeling a type of nematic liquid crystals that has equal splay and twist coefficients. Our results have no restrictions on the angles of the director, as we use the director in its natural three-component form, rather than the two-component form of spherical angles.",

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Energy conservative solutions to a nonlinear wave system of nematic liquid crystals

Abstract

All Science Journal Classification (ASJC) codes

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