Minimal blow-up masses and existence of solutions for an asymmetric sinh-Poisson equation

被引：5
|
作者：
Ricciardi, Tonia [1 ]
Zecca, Gabriella [1 ]
机构：
[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, Via Cintia, I-80126 Naples, Italy
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 14-15期
关键词：
sinh-Poisson equation; blow-up solutions; turbulent Euler flow; MEAN-FIELD EQUATION; CONCENTRATING SOLUTIONS; STATISTICAL-MECHANICS; VARIABLE INTENSITIES; PROBABILITY-MEASURES; 2D-TURBULENCE; TURBULENCE; CONSTANT; SURFACES; INEQUALITY;
D O I：
10.1002/mana.201600215
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a sinh-Poisson type problem with asymmetric exponents of interest in hydrodynamic turbulence, we establish the optimal lower bounds for the blow-up masses. We apply this result to construct solutions of mountain pass type on two-dimensional tori.
引用
收藏
页码：2375 / 2387
页数：13
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