On the blow-up of ion-acoustic waves in a plasma with nonlinear sources on the boundaryстатья
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Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
Аннотация:We consider a model equation of ion-acoustic waves in a `nonmagnetized' plasma taking into account nonlinear sources localized on the boundary, which generates a nonlinear dynamic boundary condition that is `close' to the nonlinear Neumann-Dirichlet condition. We prove the existence of a weak generalized solution to this initial-boundary value problem and obtain sufficient conditions for the existence of the blow-up of this solution in finite time. We obtain an upper bound for the existence time of the solution, which is equal to the blow-up time. Finally, we obtain sufficient conditions for the existence of a strong generalized solution