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- W3141032428 abstract "This paper is concerned with the finite time blow-up phenomena for the vector nonlinear Schrdinger equations with a magnetic field which describe the spontaneous generation of a magnetic field in a cold plasma in the subsonic limit. After obtaining some a priori estimates,we prove under certain natural conditions that the solutions to the Cauchy problem of the vector nonlinear Schrdinger equations in two and three spatial dimensions blow up in a finite time. Assuming that a solution to the aforementioned vector nonlinear Schrdinger equations is radially symmetric with respect to spatial variables x,we show that if the initial energy is non-positive,then the solution blows up in three dimensions in a finite time." @default.
- W3141032428 created "2021-04-13" @default.
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- W3141032428 date "2011-01-01" @default.
- W3141032428 modified "2023-09-24" @default.
- W3141032428 title "Blow-up phenomena of the vector nonlinear Schrdinger equations with magnetic fields" @default.
- W3141032428 hasPublicationYear "2011" @default.
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