标题： 多孔介质中具有无界湍流依赖系数的湍流存在性 显示英文标题

标题： Existence for turbulent flows through permeable media with unbounded turbulent-depending coefficients

摘要： 一个描述通过多孔介质的湍流的数学模型在本工作中被考虑。 所考虑的模型基于双平均概念，该概念由湍流k-epsilon模型中特有的时间平均技术以及用于模拟通过多孔介质的不稳定流动的体积平均方法来描述。 假设湍流粘度、湍流扩散和湍流生成函数相对于湍流动能是无界的。 对于相关初始和边界值问题，我们证明了适当弱解的存在性。 显示英文摘要

摘要： A mathematical model that governs turbulent flows through permeable media is considered in this work. The model under consideration is based on a double-averaging concept which in turn is described by the time-averaging technique characteristic of the turbulence k-epsilon model and by the volume-averaging methodology that is used to model unstable flows through porous media. The functions of turbulence viscosity, turbulence diffusion and turbulence production are assumed to be unbounded with respect to the turbulent kinetic energy. For the associated initial-and boundary-value problem, we prove the existence of suitable weak solutions.