关于具有温度相关输运系数的Navier-Stokes方程

Differential Equations and Nonlinear Mechanics Pub Date : 2006-07-12 DOI:10.1155/DENM/2006/90616

E. Feireisl, J. Málek

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引用次数: 79

摘要

我们建立了一个长时间和大数据存在的弱解来描述一个不可压缩流体的三维非定常流动问题，其中粘度和导热系数随温度变化。该方法基于考虑总能量方程而不是温度方程。我们考虑空间周期性问题。

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On the Navier-Stokes equations with temperature-dependent transport coefficients

We establish long-time and large-data existence of a weak solution to the problem describing three-dimensional unsteady flows of an incompressible fluid, where the viscosity and heat-conductivity coefficients vary with the temperature. The approach reposes on considering the equation for the total energy rather than the equation for the temperature. We consider the spatially periodic problem.

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Differential Equations and Nonlinear Mechanics

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审稿时长

20 weeks