HLDER CONTINUOUS SOLUTIONS OF BOUSSINESQ EQUATIONS

被引：0

作者：

陶涛 ^{[1
,2
]}

张立群 ^{[3
,4
]}

机构：

[1] School of Mathematics Sciences, Peking University

[2] School of Mathematics, Shandong University

[3] Academy of Mathematic and System Science, CAS

[4] School of Mathematical Sciences, UCAS

来源：

Acta Mathematica Scientia | 2018年 / 38卷 / 05期

关键词：

Boussinesq equations; Hlder continuous solutions; prescribed kinetic energy;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

We show the existence of dissipative H¨older continuous solutions of the Boussinesq equations. More precise, for any β∈(0,1/5), a time interval [0, T ] and any given smooth energy profile e : [0, T ] →(0, ∞), there exist a weak solution(v, θ) of the 3 d Boussinesq equations such that(v, θ) ∈ Cβ(T~3× [0, T ]) with e(t) =′his T~3|v(x, t)|~2 dx for all t ∈ [0, T ]. Textend the result of [2] about Onsager’s conjecture into Boussinesq equation and improve our previous result in [30].

引用

页码：1591 / 1616

页数：26

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