On blowup of solutions to a system of equations of ion sound waves in plasma
type: Item
instance of: scholarly article
title: On blowup of solutions to a system of equations of ion sound waves in plasma
zbMATH Open document ID: 1259.35045
DOI: 10.1134/S0037446611030098
author: M. O. Korpusov
published in: Siberian Mathematical Journal
publication date: 2011-10-25T00:00:00Z
review text: The author studies Sobolev-type equations of second order in time. This system describes the explosive instability in plasma accounting for the strong space-time dispersion and nonlinear dependence of polarizability on the electric field strength. Existence of a local solution is proved, with using of a modification of the energy method by Levine. Finally, the author shows blowup of such solution.
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35G61
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 5963613
zbMATH Keywords: Sobolev-type equations
zbMATH Keywords: strong space-time dispersion
reviewed by: Georgiĭ Anatol'evich Sviridyuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5963613