Email this article On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma
- Authors: Korpusov M.O.1, Panin A.A.1,2
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Affiliations:
- LomonosovMoscow State University
- Peoples’ Friendship University of Russia
- Issue: Vol 102, No 3-4 (2017)
- Pages: 350-360
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/150106
- DOI: https://doi.org/10.1134/S000143461709005X
- ID: 150106
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Abstract
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.
About the authors
M. O. Korpusov
LomonosovMoscow State University
Email: a-panin@yandex.ru
Russian Federation, Moscow
A. A. Panin
LomonosovMoscow State University; Peoples’ Friendship University of Russia
Author for correspondence.
Email: a-panin@yandex.ru
Russian Federation, Moscow; Moscow
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