The existence of global solution and their weak limit of generalized Ginzburg-Landau equations in two dimensions*
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Abstract
Abstract By the uniform a priori estimate of solution about parameters, we prove the existence of global solution and inviscid limit to a generalized Ginburg-Landau equations in two dimensions. We also prove that the solution to the Ginzburg-Landau equations converges to the weak solution to the derivative nonlinear Schrodinger equations. * Supported by the Natural Science Foundation of Guangdong Province (Grant No. 05300566)
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OpenAlex topics: Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering
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References (11)
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