Blow-up of ion-sound waves in plasma with non-linear sources on the boundary

@inproceedings{Korpusov2012BlowupOI,
  title={Blow-up of ion-sound waves in plasma with non-linear sources on the boundary},
  author={Maxim Olegovich Korpusov},
  year={2012}
}
We consider a model equation of ion-sound waves in 'non-magnetized' plasma taking account of non-linear sources localized on the boundary. This generates a non-linear dynamical boundary condition which is 'close' to the non-linear Neumann-Dirichlet condition. We prove the existence of a weak generalized solution of this initial-boundary value problem and obtain sufficient conditions for the blow-up of this solution in finite time. We give an upper bound for the time of existence of the solution… CONTINUE READING