On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

TaoliWang; GuotaoWang; Xiao-Jun Yang

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On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

机译：多孔介质中具有偏差变元的Hadamard型分数阶湍流模型

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In this paper, we concern a Hadamard-type fractional-order turbulent flow model withdeviating arguments. By using some standard fixed point theorems, the uniqueness, existence andnonexistence of solutions of the fractional turbulent flow model are investigated. Our results arenew and are well illustrated with the aid of three examples.

机译：在本文中，我们关注具有变元的Hadamard型分数阶湍流模型。利用一些标准的不动点定理，研究了分数阶湍流模型解的唯一性，存在性和不存在性。我们的结果是新的，并借助三个例子很好地说明了这一点。

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《Nonlinear Analysis : Modelling and Control》 |2017年第6期|共20页
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TaoliWang; GuotaoWang; Xiao-Jun Yang;
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1. The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium [J] . Xinguang Zhang, Lishan Liu, Yonghong Wu Applied mathematics letters . 2014,第Null期

机译：多孔介质中湍流分数阶模型正解的唯一性
2. Modelling turbulent and dispersion heat fluxes in turbulent porous medium flows using the resolved LES data [J] . Suga Kazuhiko, Chikasue Ryu, Kuwata Yusuke International Journal of Heat and Fluid Flow . 2017,第deca期

机译：使用已解析的LES数据模拟湍流和多孔介质中的湍流和分散热通量
3. Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium [J] . Xinguang Zhang, Jiqiang Jiang, Lishan Liu, Mathematical Problems in Engineering: Theory, Methods and Applications . 2020,第1期

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4. MASS DISPERSION COEFFICIENTS FOR TURBULENT FLOW IN AN INFINITE POROUS MEDIUM [C] . Maximilian S. Mesquita, Marcelo J.S. deLemos American Society of Mechanical Engineers(ASME) Heat Transfer/Fluids Engineering Summer Conference 2004(HT/FED 2004) vol.1; 20040711-15; Charlotte,NC(US) . 2004

机译：无限多孔介质中湍流的质量弥散系数
5. Microscale Modeling of Fluid Flow in Porous Medium Systems. [D] . Mcclure, James. 2011

机译：多孔介质系统中流体流动的微观模型。
6. Thermodynamically Constrained Averaging Theory Approach for Modeling Flow and Transport Phenomena in Porous Medium Systems: 7. Single-Phase Megascale Flow Models [O] . William G. Gray, Cass T. Miller -1

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8. Loss of Real Characteristics for Models of Three-Phase Flow in a Porous Medium. [R] . Shearer, M., Trangenstein, J. A. 1989

机译：多孔介质中三相流模型的实际特征损失。

On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

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