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Smoothing effect and asymptotic behaviour for the solutions of a nonlinear time dependent system

Published online by Cambridge University Press:  14 November 2011

João-Paulo Dias  and
Alain Haraux
João-Paulo Dias
Affiliation:
C.M.A.F., 2, Av. Prof. Gama Pinto, 1699 Lisboa-Codex, Portugal
Alain Haraux
Affiliation:
Laboratoire d'Analyse Numérique, Université Paris VI
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Synopsis

In this paper we obtain some new results on a nonlinear parabolic system related to the equations of the nematic liquid crystals and introduced in earlier papers by J. P. Dias.

These results mainly concern the existence and uniqueness of generalized solutions for discontinuous data and also their asymptotic behaviour in various cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 87 , Issue 3-4 , 1981 , pp. 289 - 303
Copyright
Copyright © Royal Society of Edinburgh 1981

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