On some sufficient conditions for the blow-up solutions of the nonlinear Ginzburg-Landau-Schrödinger evolution equation. (English) Zbl 1084.35095

Summary: Investigation of the blow-up in finite time of the first mixed boundary-value problem with homogeneous boundary condition on a bounded domain of \(n\)-dimensional Euclidean space for a class of nonlinear Ginzburg-Landau-Schrödinger evolution equation is continued [cf. Sh. M. Nasibov, Dokl. Math. 63, No. 1, 123–125 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 376, No. 5, 605–607 (2001; Zbl 1048.35109)]. New simple sufficient conditions are obtained for a wide class of initial data under which collapse happens for the given new values of parameters.


35Q55 NLS equations (nonlinear Schrödinger equations)
35B40 Asymptotic behavior of solutions to PDEs
82D55 Statistical mechanics of superconductors


Zbl 1048.35109
Full Text: DOI EuDML