On the solvability of the Cauchy problem for a thermal–electrical model
We consider a thermal–electrical $$(3+1)$$ -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.
Authors
- Alexander Anatolyevich Panin (ORCID: https://orcid.org/0000-0003-1185-4717)
- Margarita Vitalievna Artemeva (ORCID: https://orcid.org/0000-0002-7917-7022)
- М. О. Корпусов
Institutions
- Peoples' Friendship University of Russia (RU)
- Lomonosov Moscow State University (RU)
Publication Details
- Journal
- Theoretical and Mathematical Physics
- Published
- 2025-02-01
- DOI
- https://doi.org/10.1134/s0040577925020011
- Citations
- 1
- Primary Topic
- Numerical methods in inverse problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69