H?lder continuous weak solutions of the 2D Boussinesq equation with thermal diffusion

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外文摘要：We show the existence of Holder continuous periodic weak solutions of the 2D Boussinesq equation with thermal diffusion which satisfy the prescribed kinetic energy.More precisely,for any smooth e(t):[0,1]→ R+and ε ∈(0,1/10),there exist v ∈ C1/10-ε([0,1]× T2)and θ ∈ C1,1/20-ε/2tC2,1/10-εx([0,1]× T2),which satisfy(1.1)in the sense of distribution and e(t)=∫T2|v(t,x)|2dx,(v)t ∈[0,1].

外文关键词：

2D Boussinesq equation with thermal diffusionHolder continuous periodic weak solutionsprescribed kinetic energy

作者：

Tianwen Luo、Tao Tao、Liqun Zhang

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作者单位：

Yau Mathematical Sciences Center,Tsinghua University,Beijing 100084,China

School of Mathematics,Shandong University,Jinan 250100,China

Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

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基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of China

项目编号：

11971464119013491147132011631008

出版年：

2024

DOI：

10.1007/s11425-022-2150-2

中国科学:数学(英文版)

中国科学院

中国科学:数学(英文版)

CSTPCD

影响因子：0.36

ISSN：1674-7283

年,卷(期)：2024.67(8)

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