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Matematicheskie Zametki, 2012, Volume 91, Issue 2, Pages 225–239
DOI: https://doi.org/10.4213/mzm9307 (Mi mzm9307) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Blow-Up of the Solution of an Inhomogeneous System of Sobolev-Type Equations

Yu. V. Mukhartova, A. A. Panin

M. V. Lomonosov Moscow State University
Full-text PDF (515 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm9307
Abstract: We consider a model system of two inhomogeneous nonlinear Sobolev-type equations of sixth order with second-order time derivative and prove the local (with respect to time) solvability of the problem. We state conditions under which the blow-up of the solution occurs in finite time and find an upper bound for the blow-up time.
Keywords: system of Sobolev-type equations, blow-up of solutions, blow-up time, ion-sound wave, locally Lipschitz operator, Banach space, Friedrichs inequality.
Received: 25.05.2010
Revised: 22.11.2010
English version:
Mathematical Notes, 2012, Volume 91, Issue 2, Pages 217–230
DOI: https://doi.org/10.1134/S0001434612010233
Bibliographic databases:
Document Type: Article
UDC: 519.17:5+514.113.4
Language: Russian
Citation: Yu. V. Mukhartova, A. A. Panin, “Blow-Up of the Solution of an Inhomogeneous System of Sobolev-Type Equations”, Mat. Zametki, 91:2 (2012), 225–239; Math. Notes, 91:2 (2012), 217–230
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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