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Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis.
- Source :
-
Mathematical Methods in the Applied Sciences . May2017, Vol. 40 Issue 7, p2336-2346. 11p. - Publication Year :
- 2017
-
Abstract
- The initial-boundary value problems for a Sobolev equation with exponential nonlinearities, classical, and nonclassical boundary conditions are considered. For this model, which describes processes in crystalline semiconductors, the blow-up phenomena are studied. The sufficient blow-up conditions and the blow-up time are analyzed by the method of the test functions. This analytical a priori information is used in the numerical experiments, which are able to determine the process of the solution's blow-up more accurately. The model derivation and some questions of local solvability and uniqueness are also discussed. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 40
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 122561038
- Full Text :
- https://doi.org/10.1002/mma.4142