Dynamics of vortices for the Complex Ginzburg-Landau equation
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🧮 math.AP
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equationcomplexginzburg-landauvorticesaddedasymptoticcorrespondingderive
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We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii equation with some dissipation added. We focus on the regime corresponding to well-prepared unitary vortices and derive their asymptotic motion law.
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