Modelling Approach for Mobile and Immobile Transport Problems with Multiple Time-Scales

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Fractal mobile/immobile solute transport

[1] A fractal mobile/immobile model for solute transport assumes power law waiting times in the immobile zone, leading to a fractional time derivative in the model equations. The equations are equivalent to previous models of mobile/immobile transport with power law memory functions and are the limiting equations that govern continuous time random walks with heavy tailed random waiting times. T...

متن کامل

Transport Time Scales in Soil Erosion Modelling

I. G. Lisle 1, G. C. Sander 2*, J.-Y. Parlange 3, C.W. Rose 4, W. L. Hogarth 5, R. D. Braddock 4, 2 F. Stagnitti 6, D. A. Lockington 7, S. Jomaa 8, M. Cheraghi 9, D. A. Barry 9 3 1 Deceased 4 2 School of Civil and Building Engineering, Loughborough University, Loughborough, LE11 3TU United 5 Kingdom. Ph. +44 (1509) 223-777. [email protected] 6 3 Department of Biological and Environmental Eng...

متن کامل

Application of high-order spectral method for the time fractional mobile/immobile equation

In this paper, a numerical efficient method is proposed for the solution of time fractional mobile/immobile equation. The fractional derivative of equation is described in the Caputo sense. The proposed method is based on a finite difference scheme in time and Legendre spectral method in space. In this approach the time fractional derivative of mentioned equation is approximated by a scheme of ord...

متن کامل

A New Approach to Variational Problems with Multiple Scales

We introduce a new concept, the Young measure on micro-patterns, to study singularly perturbed variational problems which lead to multiple small scales depending on a small parameter ε. This allows one to extract, in the limit ε → 0, the relevant information at the macroscopic scale as well as the coarsest microscopic scale (say ε), and to eliminate all finer scales. To achieve this we consider...

متن کامل

A Geometric Approach to Systems with Multiple Time Scales

Physical systems often involve several processes that are evolving on di erent time scales. The resulting equations have a speci c structure which can be exploited to great e ect and the kind of results that can be obtained, at least with a certain goal in mind, are the subject of this paper. On account of the physical motivation for the di erent scales, there are many areas in which applicatio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: IFAC-PapersOnLine

سال: 2015

ISSN: 2405-8963

DOI: 10.1016/j.ifacol.2015.05.002