ON SOME SUFFICIENT CONDITIONS FOR THE BLOW-UP SOLUTIONS OF THE NONLINEAR GINZBURG-LANDAU-SCHRÖDINGER EVOLUTION EQUATION

Investigation of the blow‐up solutions of the problem in finite time of the first mixed‐value problem with a homogeneous boundary condition on a bounded domain of n ‐dimensional Euclidean space for a class of nonlinear Ginzburg‐Landau‐Schrödinger evolution equation is continued. New simple sufficien...

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Bibliographic Details
Published in:Journal of Applied Mathematics 2004, Vol.2004 (1), p.23-35
Main Author: Nasibov, Sh. M.
Format: Article
Language:English
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35Mxx
35Qxx
78Axx
78Mxx
81Qxx
82Cxx
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Summary:Investigation of the blow‐up solutions of the problem in finite time of the first mixed‐value problem with a homogeneous boundary condition on a bounded domain of n ‐dimensional Euclidean space for a class of nonlinear Ginzburg‐Landau‐Schrödinger evolution equation is continued. New simple sufficient conditions have been obtained for a wide class of initial data under which collapse happens for the given new values of parameters.
ISSN:1110-757X
1687-0042
DOI:10.1155/S1110757X04303049