期刊
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
卷 55, 期 4, 页码 -出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-016-1009-4
关键词
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资金
- NSF [DMS-1412840]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1109459] Funding Source: National Science Foundation
We investigate minimizers defined on a bounded domain in R-2 for the Maier-Saupe Q-tensor energy used to characterize nematic liquid crystal configurations. The energy density is singular, as in Ball and Majumdar's modification of the Landau-de Gennes Q-tensor model, so as to constrain the competing states to have eigenvalues in the closure of a physically realistic range. We prove that minimizers are regular and in several model problems we are able to use this regularity to prove that minimizers have eigenvalues strictly within the physical range.
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