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Yusuke Oka
Section
Graduate School of Science
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Degree
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ホームページ：https://alice2dot718.github.io/

Papers 2

  1. Quenching for axisymmetric hypersurfaces under forced mean curvature flows

    Hiroyoshi Mitake, Yusuke Oka, Hung V Tran

    Nonlinearity　2025/01/31

    DOI： 10.1088/1361-6544/ad9539 　

    ISSN： 0951-7715 1361-6544

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    <jats:title>Abstract</jats:title> <jats:p>Here, we study the motion of axisymmetric hypersurfaces <jats:inline-formula> <jats:tex-math/> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mo fence="false" stretchy="false">{</mml:mo> <mml:msub> <mml:mi mathvariant="normal">Γ</mml:mi> <mml:mi>t</mml:mi> </mml:msub> <mml:msub> <mml:mo fence="false" stretchy="false">}</mml:mo> <mml:mrow> <mml:mi>t</mml:mi> <mml:mtext>⩾</mml:mtext> <mml:mn>0</mml:mn> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> </jats:inline-formula> evolved by forced mean curvature flows in the periodic setting. We establish conditions that quenching occurs or does not occur in terms of the initial data and forcing term. We also study the locations where the quenching happens in some special cases.</jats:p>

  2. Existence of solutions for time fractional semilinear parabolic equations in Besov–Morrey spaces

    Yusuke Oka, Erbol Zhanpeisov

    Journal of Evolution Equations　2024/12

    DOI： 10.1007/s00028-024-01025-x