Geodesic
On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 383-395

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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.
Keywords: blow-up of the solution, nonlinear initial boundary-value problem, exponential nonlinearity.
Mots-clés : Sobolev-type equation 
@article{MZM_2017_102_3_a4,
     author = {M. O. Korpusov and A. A. Panin},
     title = {On the {Nonextendable} {Solution} and {Blow-Up} of the {Solution} of the {One-Dimensional} {Equation} of {Ion-Sound} {Waves} in a {Plasma}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {383--395},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a4/}
}
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M. O. Korpusov; A. A. Panin. On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 383-395. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a4/