Fractional hydrodynamic equations for fractal media

被引：174
|
作者：
Tarasov, VE [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Skobeltsyn Inst Nucl Phys, Moscow 119992, Russia
来源：
ANNALS OF PHYSICS | 2005年 / 318卷 / 02期
关键词：
hydrodynamic equations; fractal media; fractional integral;
D O I：
10.1016/j.aop.2005.01.004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We use the fractional integrals in order to describe dynamical processes in the fractal medium. We consider the "fractional" continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density, momentum density, and internal energy. The fractional generalization of Navier-Stokes and Euler equations are considered. We derive the equilibrium equation for fractal media. The sound waves in the continuous medium model for fractional media are considered. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：286 / 307
页数：22
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