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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2025, Volume 65, Number 4, Pages 471–493
DOI: https://doi.org/10.31857/S0044466925040067 (Mi zvmmf11954) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Differential Equations

On the destruction of solutions to Cauchy problems for nonlinear ferrite equations in $(N + 1)$-dimensional case

M. O. Korpusov, V. M. Ozornin

Faculty of Physics, Lomonosov Moscow State University, 119991, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.31857/S0044466925040067
Abstract: In this paper, we consider three Cauchy problems for $(N + 1)$ dimensional nonlinear Sobolev type equations arising in the theory of magnetic vibrations in ferrites. We obtain results on the existence and uniqueness of weak solutions to these problems that are local in time, as well as on the existence and uniqueness of weak solutions to these problems, and on destroying these solutions.
Key words: nonlinear Sobolev equations, fracture, blow-up, local solvability, nonlinear capacitance, failure time estimates.
Funding agency Grant number
Russian Science Foundation 23-11-00056
This work was supported by the Russian Science Foundation, project no. 23-11-00056.
Received: 05.09.2024
Revised: 05.09.2024
Accepted: 05.02.2025
English version:
Computational Mathematics and Mathematical Physics, 2025, Volume 65, Issue 4, Pages 765–789
DOI: https://doi.org/10.1134/S0965542525700083
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: M. O. Korpusov, V. M. Ozornin, “On the destruction of solutions to Cauchy problems for nonlinear ferrite equations in $(N + 1)$-dimensional case”, Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025), 471–493; Comput. Math. Math. Phys., 65:4 (2025), 765–789
Citation in format AMSBIB
\Bibitem{KorOzo25}
\by M.~O.~Korpusov, V.~M.~Ozornin
\paper On the destruction of solutions to Cauchy problems for nonlinear ferrite equations in $(N + 1)$-dimensional case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2025
\vol 65
\issue 4
\pages 471--493
\mathnet{http://mi.mathnet.ru/zvmmf11954}
\elib{https://elibrary.ru/item.asp?id=82358154}
\transl
\jour Comput. Math. Math. Phys.
\yr 2025
\vol 65
\issue 4
\pages 765--789
\crossref{https://doi.org/10.1134/S0965542525700083}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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