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Abstract <p>Three Cauchy problems for <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11470_2025_2213_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\((N + 1)\)</EquationSource> <!--ComMat2570008Korpusov-m1--> </InlineEquation>-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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • M. O. Korpusov,
  • V. M. Ozornin

摘要

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.