关于3维不可压缩Euler方程组的修正的涡块问题

张平;仇庆久

数学学报 ›› 1997, Vol. 40 ›› Issue (3)

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PDF(534 KB)
数学学报 ›› 1997, Vol. 40 ›› Issue (3) DOI: 10.12386/A1997sxxb0045
论文

关于3维不可压缩Euler方程组的修正的涡块问题

    张平;仇庆久
作者信息 +

On the Three Dimeasioinal Revised Vortex Patches Prnblem of .. Incompressible Euler Equations

    Ping Zhang,QingJiu Qiu
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摘要

本文将引进涡度空间C””,“。证明了当R3中紧超曲面0EC”-0,且w0(X)C”“,z。时,3维不可压缩Eulec方程组的散度为零的初始值问题存在唯一的局部Lipschitz解,且0的随时间发展以后的R3中紧超曲面,与涡度w(t,)分别属于C2-”与C”“,中。

Abstract

In this paper, we will introduce the revised vorticity space C, ,.,c . In this frame, we prove that the initial value problem of incompressible Euler equations with divergence free deta (E) exists a unique local Lipschitz solution., and the solution remains propagation of regularity of the initial subznanifold and the initial vorticity,

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不可压缩Euler方程组 / 纹状分布 / 涡块

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张平;仇庆久. 关于3维不可压缩Euler方程组的修正的涡块问题. 数学学报, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0045
Ping Zhang,QingJiu Qiu. On the Three Dimeasioinal Revised Vortex Patches Prnblem of .. Incompressible Euler Equations. Acta Mathematica Sinica, Chinese Series, 1997, 40(3) https://doi.org/10.12386/A1997sxxb0045
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