Journal of Radiation Research. Vol. 65. 2024. P.. 744-751
On the existence of a nonextendable solution of the Cauchy problem for a -dimensional thermal–electrical model
Abstract: A thermal–electrical -dimensional model of heating a semiconductor in an electric field is considered. For the corresponding Cauchy problem, the existence of a classical solution nonextendable in time is proved and an a priori estimate global in time is obtained. © Pleiades Publishing, Ltd. 2024.
Authors
Artemeva M.V. , Korpusov M.O.
Issue number
3
Language
English
Pages
2207-2218
State
Published
Link
Volume
221
Year
2024
Organizations
- 1 Faculty of Physics, Lomonosov Moscow State University, Moscow, Russian Federation
- 2 Peoples’ Friendship University of Russia, Moscow, Russian Federation
Keywords
blow-up time estimates; local solvability; nonlinear capacity; nonlinear Sobolev-type equations
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Physical Review E. Vol. 110. 2024.