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Simultaneous and non-simultaneous blow-up for a cross-coupled parabolic system
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2007, Vol. 326 Issue 1, p414-431. 18p. - Publication Year :
- 2007
-
Abstract
- Abstract: This paper deals with a parabolic system, cross-coupled via a nonlinear source and a nonlinear boundary flux. We get a necessary and sufficient condition for the existence of non-simultaneous blow-up. In particular, four different simultaneous blow-up rates are obtained in different regions of parameters, described by an introduced characteristic algebraic system. It is observed that different initial data may result in different simultaneous blow-up rates even in the same region of parameters. [Copyright &y& Elsevier]
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Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 326
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 23047404
- Full Text :
- https://doi.org/10.1016/j.jmaa.2006.03.013