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Fractional Landau-Ginzburg equations on a segment. (English) Zbl 1160.35500

The author studies in this interesting paper the initial-boundary value problem for the fractional Landau-Ginzburg equations on a segment. She presents results on the global existence of solutions to the initial-boundary value problem. She also finds the main term of the asymptotic representation of such solutions.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B40 Asymptotic behavior of solutions to PDEs
35C20 Asymptotic expansions of solutions to PDEs
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