Existence and uniqueness of solutions of a system of nonlinear PDE for phase transitions with vector order parameter

Emil Minchev

doi:10.3934/proc.2005.2005.652

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2005, Volume 2005: 652-661. Doi: 10.3934/proc.2005.2005.652 open access

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Existence and uniqueness of solutions of a system of nonlinear PDE for phase transitions with vector order parameter

Emil Minchev^1,

1.
Department of Applied Physics, School of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555

Received: May 31, 2004

Revised: January 31, 2005

Published: August 2005

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The paper deals with existence and uniqueness of solutions for a system of nonlinear PDE's which describes phase transition models with vector order parameter.

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Mathematics Subject Classification: Primary: 35R70, 35K50; Secondary: 74N30.

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Existence and uniqueness of solutions of a system of nonlinear PDE for phase transitions with vector order parameter

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