ENERGY DISSIPATION AND SELF-SIMILAR SOLUTIONS FOR AN UNFORCED INVISCID DYADIC MODEL

被引：21
|
作者：
Barbato, D. [1 ]
Flandoli, F.
Morandin, F.
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35121 Padua, Italy
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 363卷 / 04期
关键词：
EULER EQUATIONS; SHELL MODELS; FINITE-TIME; BLOW-UP; TURBULENCE;
D O I：
10.1090/S0002-9947-2010-05302-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A shell-type model of an inviscid fluid, previously considered in the literature, is investigated in absence of external force. Energy dissipation of positive solutions is proved, and decay of energy like t(-2) is established. Self-similar decaying positive solutions are introduced and proved to exist and classified. Coalescence and blow-up are obtained as a consequence, in the class of arbitrary sign solutions.
引用
收藏
页码：1925 / 1946
页数：22
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