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Blow-up analyses in reaction–diffusion equations with nonlinear nonlocal boundary flux.
- Source :
-
Zeitschrift für Angewandte Mathematik und Physik (ZAMP) . Aug2019, Vol. 70 Issue 4, pN.PAG-N.PAG. 1p. - Publication Year :
- 2019
-
Abstract
- In this paper, we study a reaction–diffusion system involving coupled sources and nonlinear nonlocal boundary flux. By using the comparison principle, we give the criteria on blow-up and global solutions. There exist no nontrivial global solutions under some conditions on the coefficients. After classifying simultaneous and non-simultaneous blow-up of the components of solutions, we obtain blow-up rates and sets. Lower and upper bounds of blow-up time are determined quantificationally for all dimensions of the space domains. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442275
- Volume :
- 70
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Zeitschrift für Angewandte Mathematik und Physik (ZAMP)
- Publication Type :
- Academic Journal
- Accession number :
- 137624411
- Full Text :
- https://doi.org/10.1007/s00033-019-1155-6