On the solvability of the Cauchy problem for a thermal–electrical model

Abstract: We consider a thermal–electrical -dimensional model of semiconductor heating in an electric field. We prove the existence of a classical solution nonextendable in time for the corresponding Cauchy problem. © Pleiades Publishing, Ltd. 2025.

Authors
Artemeva M.V. , Korpusov M.O. , Panin A.A.
Journal
Theoretical and Mathematical Physics
Issue number
2
Language
English
Pages
183-197
State
Published
Link
External link
DOI
10.1134/S0040577925020011
Volume
222
Year
2025
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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