Spatial Decay for Solutions to 2-D Boussinesq System with Variable Thermal Diffusivity

Acta Applicandae Mathematicae ◽

10.1007/s10440-017-0136-z ◽

2017 ◽

Vol 154 (1) ◽

pp. 111-130

Author(s):

Yuanfei Li ◽

Changhao Lin

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

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Spatial decay bounds in a channel flow of 2-D Boussinesq fluid with variable thermal diffusivity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4893 ◽

2018 ◽

Vol 41 (11) ◽

pp. 4287-4304

Author(s):

Yuanfei Li ◽

Changhao Lin

Keyword(s):

Thermal Diffusivity ◽

Channel Flow ◽

Spatial Decay ◽

Decay Bounds ◽

Boussinesq Fluid

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The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity

Nonlinear Analysis ◽

10.1016/j.na.2014.10.030 ◽

2015 ◽

Vol 113 ◽

pp. 401-429 ◽

Author(s):

Aimin Huang

Keyword(s):

Thermal Diffusivity ◽

Global Attractor ◽

Variable Viscosity ◽

Boussinesq System ◽

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Global well-posedness of the $ n $-dimensional hyper-dissipative Boussinesq system without thermal diffusivity

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2021018 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Xuemin Deng ◽

Yuelong Xiao ◽

Aibin Zang

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

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Regularity criteria and uniform estimates for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity

Journal of Mathematical Physics ◽

10.1063/1.4878495 ◽

2014 ◽

Vol 55 (5) ◽

pp. 051505 ◽

Author(s):

Jishan Fan ◽

Fucai Li ◽

Gen Nakamura

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

Regularity Criteria ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Uniform Estimates ◽

Dependent Viscosity

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On the Yudovich's type solutions for the 2D Boussinesq system with thermal diffusivity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020242 ◽

2020 ◽

Vol 40 (10) ◽

pp. 5711-5728

Author(s):

Marius Paicu ◽

◽

Ning Zhu ◽

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System

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Global regularity for the initial–boundary value problem of the 2-D Boussinesq system with variable viscosity and thermal diffusivity

Journal of Differential Equations ◽

10.1016/j.jde.2013.04.032 ◽

2013 ◽

Vol 255 (6) ◽

pp. 1069-1085 ◽

Author(s):

Yongzhong Sun ◽

Zhifei Zhang

Keyword(s):

Thermal Diffusivity ◽

Boundary Value Problem ◽

Global Regularity ◽

Variable Viscosity ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Boussinesq System ◽

Initial Boundary Value

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Global well-posedness for the 2-D Boussinesq system with the temperature-dependent viscosity and thermal diffusivity

Advances in Mathematics ◽

10.1016/j.aim.2011.05.008 ◽

2011 ◽

Vol 228 (1) ◽

pp. 43-62 ◽

Author(s):

Chao Wang ◽

Zhifei Zhang

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

Well Posedness ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

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Global wellposedness of an inviscid 2D Boussinesq system with nonlinear thermal diffusivity

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2013.v10.n3.a2 ◽

2013 ◽

Vol 10 (3) ◽

pp. 255-265 ◽

Author(s):

Dong Li ◽

Xiaojing Xu

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

Global Wellposedness

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Regularity criteria for the Boussinesq system with temperature-dependent viscosity and thermal diffusivity in a bounded domain

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016012 ◽

2016 ◽

Vol 36 (9) ◽

pp. 4915-4923 ◽

Author(s):

Jishan Fan ◽

Fucai Li ◽

Gen Nakamura

Keyword(s):

Thermal Diffusivity ◽

Bounded Domain ◽

Boussinesq System ◽

Regularity Criteria ◽

Temperature Dependent ◽

Temperature Dependent Viscosity ◽

Dependent Viscosity

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Global well-posedness for the 2-D Boussinesq system with temperature-dependent thermal diffusivity

Colloquium Mathematicum ◽

10.4064/cm135-2-3 ◽

2014 ◽

Vol 135 (2) ◽

pp. 187-199 ◽

Author(s):

Qionglei Chen ◽

Liya Jiang

Keyword(s):

Thermal Diffusivity ◽

Boussinesq System ◽

Well Posedness ◽

Temperature Dependent

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