LOW MODES REGULARITY CRITERION FOR A CHEMOTAXIS-NAVIER-STOKES SYSTEM

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LOW MODES REGULARITY CRITERION FOR A CHEMOTAXIS-NAVIER-STOKES SYSTEM

机译：趋化性 - Navier-Stokes系统的低模式规律性标准

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In this paper we study the regularity problem of a three dimensional chemotaxis-Navier-Stokes system. A new regularity criterion in terms of only low modes of the oxygen concentration and the fluid velocity is obtained via a wavenumber splitting approach. The result improves certain existing criteria in the literature.

机译：在本文中，我们研究了三维趋化性 - 海军斯托克斯系统的规律性问题。仅通过波数分裂方法获得仅在氧浓度的低模式和流体速度方面的新规则性标准。结果提高了文献中的某些现有标准。

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《Communications on pure and applied analysis》 |2020年第5期|共23页
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正文语种 eng
中图分类数学;
关键词
Chemotaxis model; Navier-Stokes equations; conditional regularity;

机译：Chemotaxis模型;Navier-Stokes方程;条件规律性;

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专利

1. LOW MODES REGULARITY CRITERION FOR A CHEMOTAXIS-NAVIER-STOKES SYSTEM [J] . Communications on pure and applied analysis . 2020,第5期

机译：趋化性 - Navier-Stokes系统的低模式规律性标准
2. Simple criterion for the sign of the pseudomomentum of modes in shallow water systems [J] . Iga Keita Journal of Fluid Mechanics . 1999,第0期

机译：浅水系统模态动量符号的简单判据
3. A Logarithmically Improved Blow-up Criterion for a Simplified Ericksen-Leslie System Modeling the Liquid Crystal Flows [J] . BAI Meng, LIU Qiao, ZHAO Jihong 偏微分方程：英文版 . 2015,第004期

机译：对数简化的Ericksen-Leslie系统对液晶流建模的对数改进爆破准则
4. Development of Mathematical Models of Lateral Flow Membrane Bioanalytical Systems and Characterization of the Regularities of Their Functioning [C] . Dmitriy V. Sotnikov, Anatoly V. Zherdev, Boris B. Dzantiev Russian Conference on Mathematical Modelling in Natural Sciences . 2020

机译：横向流动膜生物分析系统数学模型的发展及其功能规律的特征
5. Simulation optimization of logistics systems through the use of criterion models. [D] . Anderson, Nicholas Peter. 2004

机译：通过使用标准模型对物流系统进行仿真优化。
6. Downstream changes in firing regularity following damage to the early auditory system [O] . Dan FM Goodman, Alain de Cheveigné, Ian M Winter, 2015

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7. Partial regularity of the dynamic system modeling the flow of liquid crystals [O] . Lin, Fanghua, Liu, Chun 1995

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8. Localized Stability Criterion for Kink Modes in Systems with Small Shear [R] . Hastie, R. J., Johnson, J. L. 1986

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LOW MODES REGULARITY CRITERION FOR A CHEMOTAXIS-NAVIER-STOKES SYSTEM

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