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On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
Author(s) -
Korpusov M.O.,
Lukyanenko D.V.,
Panin A.A.,
Shlyapugin G.I.
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4791
Subject(s) - mathematics , a priori and a posteriori , plasma , initial value problem , boundary value problem , mathematical analysis , mechanics , physics , philosophy , epistemology , quantum mechanics
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.