Local solvability and blow-up for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations
In this article some well-known problems in mathematical physics for Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and Korteweg-de Vries-Benjamin-Bona-Mahony equations are considered. These equations describe important processes in different fields of physics, particulary in hydro- and electrody...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/69/abstr.html |
| Summary: | In this article some well-known problems in mathematical physics for
Benjamin-Bona-Mahony-Burgers, Rosenau-Burgers and
Korteweg-de Vries-Benjamin-Bona-Mahony equations are considered.
These equations describe important processes in different fields of physics,
particulary in hydro- and electrodynamics. We study initial-boundary problems
with natural physical boundary conditions. Sufficient conditions of local
solvability and blow-up in finite time are obtained. For this the methods
of contraction mapping and nonlinear capacity, developed by Galaktionov,
Pokhozhaev and Mitidieri, are used. |
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| ISSN: | 1072-6691 |