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Lin Lin, Hui Liu, Cheng-Feng Sun. GLOBAL SMOOTH SOLUTION FOR THE MODIFIED ANISOTROPIC 3D BOUSSINESQ EQUATIONS WITH DAMPING[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 2171-2195. doi: 10.11948/20230349

Citation:

Lin Lin, Hui Liu, Cheng-Feng Sun. GLOBAL SMOOTH SOLUTION FOR THE MODIFIED ANISOTROPIC 3D BOUSSINESQ EQUATIONS WITH DAMPING[J]. Journal of Applied Analysis & Computation, 2024, 14(4): 2171-2195. doi: 10.11948/20230349

GLOBAL SMOOTH SOLUTION FOR THE MODIFIED ANISOTROPIC 3D BOUSSINESQ EQUATIONS WITH DAMPING

1.
School of Arts and Sciences, Shanghai Dianji University, Shanghai 201306, China
2.
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China
3.
School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, Jiangsu, China

Author Bio: Email: liuhuinanshi@qfnu.edu.cn(H. Liu); Email: sch200130@163.com(C.-F. Sun)
Corresponding author: Email: linlin@sdju.edu.cn(L. Lin)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 12271293, 11901342, 11901302, 12371445, 11701269) and Natural Science Foundation of Shandong Province (No. ZR2023MA002) and Academic Discipline Project of Shanghai Dianji University (No. 16JCXK02)

Abstract

Abstract

This paper is mainly concerned with the modified anisotropic three-dimensional Boussinesq equations with damping. We first prove the existence and uniqueness of global solution of velocity anisotropic equations. Then we establish the well-posedness of global solution of temperature anisotropic equations.
- Boussinesq equations /
- anisotropic viscosity /
- damping
MSC: 35Q35, 76D03

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References

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