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

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页码：2375 / 2387

页数：13

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