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Your search keyword '"Lukyanenko, Dmitry"' showing total 4 results
Start Over Author "Lukyanenko, Dmitry" Journal mathematical methods in the applied sciences
4 results on '"Lukyanenko, Dmitry"'

4. Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis.

Author

Korpusov, Maxim Olegovich, Lukyanenko, Dmitry V., Panin, Alexander A., and Yushkov, Egor V.

Subjects
*NUMERICAL analysis, *SEMICONDUCTORS, *SPACE charge, *NUMERICAL solutions to boundary value problems, *MATHEMATICAL physics, *MATHEMATICAL models
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]

Published
2017
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