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Numerical simulation of blow-up of a 2D generalized Ginzburg-Landau equation |
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| Authors: | C Bu R Shull A Mareno |
| Institution: | Department of Mathematics, Wellesley College 366 Science Center, 106 Central Street, Wellesley, MA 02181, U.S.A. Department of Computer Science, Wellesley College E114 Science Center, 106 Central Street, Wellesley, MA 02181, U.S.A. Center for Applied Mathematics, Cornell University, Ithaca, NY 14853, U.S.A. |
| Abstract: | We study the Cauchy problem for the following generalized Ginzburg-Landau equation ut = (ν+i )Δu ? (κ+iβ)|u|2qu + γu in two spatial dimensions for q > 1 (here , β, γ are real parameters and ν,κ > 0). A blow-up of solutions is found via numerical simulation in several cases for q > 1. |
| Keywords: | Ginzburg-Landau equation Global existence Blow-up of solutions |
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