Voprosy Istorii.
Общество с ограниченной ответственностью "Журнал "Вопросы истории".
2018.
P. 89-97
On the blow-up phenomena for a 1-dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
The initial-boundary value problem for an equation of ion sound waves in plasma is considered. A theorem on nonextendable solution is proved. The blow-up phenomena are studied. The sufficient blow-up conditions and the blow-up time are analysed by the method of the test functions. This analytical a priori information is used in the numerical experiments, which are able to determine the process of the solution's blow-up more accurately. Copyright © 2018 John Wiley & Sons, Ltd.
Authors
Korpusov M.O.1
,
Lukyanenko D.V.1
,
Panin A.A.
1,
2
,
Shlyapugin G.I.1
Publisher
John Wiley and Sons Ltd
Number of issue
8
Language
English
Pages
2906-2929
Status
Published
Link
DOI
Volume
41
Year
2018
Organizations
- 1 Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russian Federation
- 2 RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
Keywords
blow-up phenomena; contracting mapping; nonextendable solution; numerical blow-up diagnostics; test functions
Date of creation
19.10.2018
Date of change
19.10.2018
Share
Other records
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences - ISPRS Archives.
International Society for Photogrammetry and Remote Sensing.
Vol. 42.
2018.
P. 339-345