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Local existence and uniqueness of solutions of the weak electrolyte model describing electro‐convection in nematic liquid crystals
Author(s) -
Düll W.P.,
Schneider G.,
Uecker H.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000038
Subject(s) - uniqueness , liquid crystal , electrolyte , convection , weak solution , scheme (mathematics) , mathematics , mathematical analysis , thermodynamics , physics , mechanics , materials science , condensed matter physics , quantum mechanics , electrode
Abstract We show the local existence and uniqueness of solutions of the most advanced model for the description of electro‐convection in nematic liquid crystals, namely the weak electrolyte model (WEM), which is a mixture of quasilinear parabolic equations and balance laws. We do this by bringing the WEM in a form where a standard iteration scheme can be applied.