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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 177, Number 1, Pages 93–110
DOI: https://doi.org/10.4213/tmf8507 (Mi tmf8507) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Local solvability and blowup of the solution of the Rosenau–Bürgers equation with different boundary conditions

A. A. Panin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (467 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf8507
Abstract: We consider several models of initial boundary-value problems for the Rosenau–Bürgers equation with different boundary conditions. For each of the problems, we prove the unique local solvability in the classical sense, obtain a sufficient condition for the blowup regime, and estimate the time of the solution decay. The proof is based on the well-known test-function method.
Keywords: blowup regime, local solvability, noncontinuable solution, Rosenau–Bürgers equation.
Received: 29.01.2013
English version:
Theoretical and Mathematical Physics, 2013, Volume 177, Issue 1, Pages 1361–1376
DOI: https://doi.org/10.1007/s11232-013-0109-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Panin, “Local solvability and blowup of the solution of the Rosenau–Bürgers equation with different boundary conditions”, TMF, 177:1 (2013), 93–110; Theoret. and Math. Phys., 177:1 (2013), 1361–1376
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:79
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