Diffusion in turbulence

被引:36
作者
Fannjiang, A [1 ]
Papanicolaou, G [1 ]
机构
[1] STANFORD UNIV, DEPT MATH, STANFORD, CA 94305 USA
关键词
D O I
10.1007/s004400050046
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We prove long time diffusive behavior (homogenization) for convection-diffusion in a turbulent flow that it incompressible and has a stationary and square integrable stream matrix. Simple shear flow examples show that this result is sharp for flows that have stationary stream matrices.
引用
收藏
页码:279 / 334
页数:56
相关论文
共 21 条
[1]   AN INTEGRAL-REPRESENTATION AND BOUNDS ON THE EFFECTIVE DIFFUSIVITY IN PASSIVE ADVECTION BY LAMINAR AND TURBULENT FLOWS [J].
AVELLANEDA, M ;
MAJDA, AJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 138 (02) :339-391
[2]   MATHEMATICAL-MODELS WITH EXACT RENORMALIZATION FOR TURBULENT TRANSPORT [J].
AVELLANEDA, M ;
MAJDA, AJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 131 (02) :381-429
[3]  
AVELLANEDA M, 1990, HOMOGENIZATION RENOR
[4]  
Bensoussan A., 1978, Asymptotic analysis for periodic structures
[5]   RANDOM-WALKS IN ASYMMETRIC RANDOM-ENVIRONMENTS [J].
BRICMONT, J ;
KUPIAINEN, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 142 (02) :345-420
[6]   VARIATIONAL-PRINCIPLES FOR COMPLEX CONDUCTIVITY, VISCOELASTICITY, AND SIMILAR PROBLEMS IN MEDIA WITH COMPLEX MODULI [J].
CHERKAEV, AV ;
GIBIANSKY, LV .
JOURNAL OF MATHEMATICAL PHYSICS, 1994, 35 (01) :127-145
[7]  
DOOB J. L., 1953, Stochastic Processes
[8]   CONVECTION ENHANCED DIFFUSION FOR PERIODIC FLOWS [J].
FANNJIANG, A ;
PAPANICOLAOU, G .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (02) :333-408
[9]  
FANNJIANG A, IN PRESS CONVECTION
[10]  
FANNJIANG A, IN PRESS HOMOGENIZAT