INFINITE SUPERLINEAR GROWTH OF THE GRADIENT FOR THE TWO-DIMENSIONAL EULER EQUATION

Denisov SA

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INFINITE SUPERLINEAR GROWTH OF THE GRADIENT FOR THE TWO-DIMENSIONAL EULER EQUATION

机译：INFINITE SUPERLINEAR GROWTH OF THE GRADIENT FOR THE TWO-DIMENSIONAL EULER EQUATION

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摘要

For two-dimensional Euler equation on the torus, we prove that the L-infinity norm of the gradient can grow super linearly for some infinitely smooth initial data. We also show the exponential growth of the gradient for finite time.

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来源
《Discrete and continuous dynamical systems》 |2009年第3期|755-764|共10页
作者
Denisov SA;
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作者单位

Univ Wisconsin, Dept Math, Madison, WI 53706 USA.;

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原文格式 PDF
正文语种英语
中图分类理论力学（一般力学）;
关键词
Two-dimensional Euler equation; growth of the gradient;

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INFINITE SUPERLINEAR GROWTH OF THE GRADIENT FOR THE TWO-DIMENSIONAL EULER EQUATION

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