On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma

The initial boundary-value problem for the equation of ion-sound waves in a plasma is studied. A theorem on the nonextendable solution is proved. Sufficient conditions for the blow-up of the solution in finite time and the upper bound for the blow-up time are obtained using the method of test functions. © 2017, Pleiades Publishing, Ltd.

Authors
Korpusov M.O.1 , Panin A.A. 1, 2
Number of issue
3-4
Language
English
Pages
350-360
Status
Published
Volume
102
Year
2017
Organizations
  • 1 LomonosovMoscow State University, Moscow, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
blow-up of the solution; exponential nonlinearity; nonlinear initial boundary-value problem; Sobolev-type equation
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