On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case

Three Cauchy problems for $$(N + 1)$$ -dimensional nonlinear Sobolev-type equations arising in the theory of magnetic oscillations in ferrites are considered. Results concerning the existence and uniqueness of local-in-time weak solutions to these problems and the blow-up of these solutions are obtained.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2025-04-01
DOI
https://doi.org/10.1134/s0965542525700083
Citations
4
Primary Topic
Advanced Mathematical Physics Problems
Type
article
Field-Weighted Citation Impact
14.77
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article

On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case

М. О. Корпусов, V. M. Ozornin
4 citations
Computational Mathematics and Mathematical Physics
Advanced Mathematical Physics Problems
14.77
article

On Blow-Up of Solutions to Cauchy Problems for Nonlinear Ferrite Equations in (N + 1)-Dimensional Case

М. О. Корпусов, V. M. Ozornin
article en
4 citations

Abstract

Three Cauchy problems for $$(N + 1)$$ -dimensional nonlinear Sobolev-type equations arising in the theory of magnetic oscillations in ferrites are considered. Results concerning the existence and uniqueness of local-in-time weak solutions to these problems and the blow-up of these solutions are obtained.

Computational Mathematics and Mathematical PhysicsVol. 65(4)
Peoples' Friendship University of Russia (RU), Lomonosov Moscow State University (RU), Russian New University (RU)
Openalex Percentile: Top 1%
Advanced Mathematical Physics Problems
14.77
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