Inhomogeneous Initial Boundary Value Problem for Generalized Ginzburg-Landau Equations

YANG Ling-e; GUO Bo-ling; XU Hai-xiang

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YANG Ling-e, GUO Bo-ling, XU Hai-xiang. Inhomogeneous Initial Boundary Value Problem for Generalized Ginzburg-Landau Equations[J]. Applied Mathematics and Mechanics, 2004, 25(4): 337-344.

Citation:

YANG Ling-e, GUO Bo-ling, XU Hai-xiang. Inhomogeneous Initial Boundary Value Problem for Generalized Ginzburg-Landau Equations[J]. Applied Mathematics and Mechanics, 2004, 25(4): 337-344.

Citation:

YANG Ling-e, GUO Bo-ling, XU Hai-xiang. Inhomogeneous Initial Boundary Value Problem for Generalized Ginzburg-Landau Equations[J]. Applied Mathematics and Mechanics, 2004, 25(4): 337-344.

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Inhomogeneous Initial Boundary Value Problem for Generalized Ginzburg-Landau Equations

1.
Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;

Received Date: 2002-10-25
Rev Recd Date: 2003-11-25
Publish Date: 2004-04-15

Abstract

Abstract

The existence of global weak solution for a class of generalized Ginzburg-Landau equations with an inhomogeneous boundary condition was studied Some integral indentities of smooth solution of inhomogeneous initial boundary value problem of Ginzburg-Landau equations were deduced,by which a priori estimates of the square none on boundary of normal derivative and the square norm of partial derivatives were obtaned Then the existence of global weak solution for an inhomogeneous initial boundary value problem of Ginzburg-Landau equations was proved by the method of approximation technique and a priori estimates and making lirrit.
- generalized Ginzburg-Landau equation,
- inhomogeneous initial boundary value problem,
- weak solution,
- global existence

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References(7)

References

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