On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem

Xu Fuyi; Qiao Liening; Zhang Mingxue

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem

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On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem

机译：关于2D微息瑞利奔驰问题的良好良好

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The article is devoted to the study of Cauchy problem to the Rayleigh-Benard convection model for the micropolar fluid in two dimensions. We first prove the unique local solvability of smooth solution to the system when the system has only velocity dissipation, and then establish a criterion for the breakdown of smooth solutions imposed only the maximum norm of the gradient of scalar temperature field. Finally, we show the global regularity of the system with zero angular viscosity.

机译：本文研究二维微极流体瑞利-贝纳德对流模型的柯西问题。我们首先证明了当系统只有速度耗散时，系统光滑解的唯一局部可解性，然后建立了仅施加标量温度场梯度的最大范数的光滑解的破裂准则。最后，我们证明了零角粘度系统的全局正则性。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2021年第1期|共13页
作者
Xu Fuyi; Qiao Liening; Zhang Mingxue;
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作者单位

Shandong Univ Technol Sch Math &

Stat Zibo 255049 Shandong Peoples R China;

Shandong Univ Technol Sch Math &

Stat Zibo 255049 Shandong Peoples R China;

Shandong Univ Technol Sch Math &

Stat Zibo 255049 Shandong Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Local well-posedness; Micropolar Rayleigh-Benard convection problem; Blow-up criterion; Smooth solution; Global regularity;

机译：局部良好的姿势;微息瑞利 - 贝纳特对流问题;爆炸标准;平稳的解决方案;全球规律性;

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专利

1. GLOBAL WELL-POSEDNESS OF THE 2D INCOMPRESSIBLE MICROPOLAR FLUID FLOWS WITH PARTIAL VISCOSITY AND ANGULAR VISCOSITY [J] . Mingtao CHEN 数学物理学报（英文版） . 2013,第004期
2. Global regularity for the 2D micropolar Rayleigh-Benard convection system with the zero diffusivity [J] . Xu Fuyi, Chi Meiling Applied mathematics letters . 2020,第1期

机译：具有零扩散率的2D微息瑞利阁下对流系统的全球规律性
3. The Effect of Internal Heat Generation on the Onset of Rayleigh-Benard Electro Convection in a Micropolar Fluid [J] . Mohamed El Hadramy Oumar, Noor Arshika S., S. Pranesh International Journal of Applied Engineering Research . 2019,第10期

机译：内部发热对微柱液中瑞利奔驰电力对流发作的影响
4. Effect of internal heating on weakly non-linear stability analysis of Rayleigh-Benard Convection in a vertically oscillating Micropolar fluid [J] . Vasudha Yekasi, S. Pranesh, Shahnaz Bathul International Journal of Applied Engineering Research . 2018,第13aPta2期

机译：内部加热对垂直振荡微柱液中瑞利邦对流弱非线性稳定性分析的影响
5. 2D Lattice Boltzmann Simulation Of Chemical Reactions Within Rayleigh-Benard And Poiseuille-Benard Convection Systems [C] . Gilberto Amaya-Ventura, Suemi Rodriguez-Romo International Conference of Numerical Analysis and Applied Mathematics . 2011

机译：2D莱迪思Boltzmann Rayleigh-Benard和Poiseuille-Benard对流系统内的化学反应模拟
6. Identification, Decomposition and Analysis of Dynamic Large-Scale Structures in Turbulent Rayleigh-Benard Convection. [D] . Sakievich, Philip Sakievich. 2017

机译：湍流瑞利-贝纳德对流中动态大型结构的识别，分解和分析。
7. Mixed Convective Flow and Heat Transfer of a Dual Stratified Micropolar Fluid Induced by a Permeable Stretching/Shrinking Sheet [O] . Najiyah Safwa Khashi’ie, Norihan Md Arifin, Roslinda Nazar, 2019

机译：通过可渗透拉伸/收缩板诱导的双分层微极流体的混合对流流量和传热
8. MRT-LBM SIMULATION OF NATURAL CONVECTION IN A RAYLEIGH-BENARD CAVITY WITH LINEARLY VARYING TEMPERATURES ON THE SIDES: APPLICATION TO A MICROPOLAR FLUID [O] . Mohammed Hasnaoui, Abdelfattah El Mansouri, Abdelkhalek Amahmid, 2017

机译：MRT-LBM在瑞利 - 百牙腔中的自然对流模拟，侧面具有线性变化的温度：应用于微柱液
9. Supercritical Quasi-Conduction States in Stochastic Rayleigh-Benard Convection. [R] . Venturi, D., Choi, M., Karniadakis, G. E. 2011

机译：随机Rayleigh-Benard对流中的超临界准导电态。

On the well-posedness for the 2D micropolar Rayleigh-Benard convection problem

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