Blow-up problems in the strained vorticity dynamics and critical exponents: Dedicated to the memory of the late Professor Tatsuyuki Nakaki

Hisashi Okamoto

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Blow-up problems in the strained vorticity dynamics and critical exponents: Dedicated to the memory of the late Professor Tatsuyuki Nakaki

机译：紧张的涡旋动力学和临界指数中的爆破问题：致力于纪念已故的中木达幸教授

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Two partial differential equations are studied from the viewpoint of critical exponents. They are equations for a scalar unknown of one spatial variable, and produce self-similar solutions of the Navier-Stokes equations. Global existence and blow-up are examined for them, and the critical exponent separating them is determined.

机译：从临界指数的角度研究了两个偏微分方程。它们是一个空间变量的标量未知量的方程，并产生Navier-Stokes方程的自相似解。为它们检查了全局存在和爆炸，并确定了将它们分开的关键指数。

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来源
《Journal of the Mathematical Society of Japan》 |2013年第4期|1079-1099|共21页
作者
Hisashi Okamoto;
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作者单位

Research Institute for Mathematical Sciences Kyoto University Kyoto 606-8502, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
blow-up; critical exponent; Navier-Stokes equations;

机译：爆炸;临界指数Navier-Stokes方程;

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Blow-up problems in the strained vorticity dynamics and critical exponents: Dedicated to the memory of the late Professor Tatsuyuki Nakaki

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