SIMILARITY SOLUTIONS OF THE 1-DIMENSIONAL ADVECTION - DIFFUSION EQUATION
A general method recently developed to establish the conditions for the existence of similarity solutions of the Fokker-Planck-Smoluchowsky equation is applied to the 1-dimensional advection-diffusion equation in the form p-deltaP/p-deltat = p-delta/p-deltax (R(x)P + D(x)p-deltaP/p-deltax). The case of power law behaviour of the coefficient functions R(x), D(x) is investigated in detail and few classes of similarity solutions are presented. In addition, a class of functions R(x), D(x) is identified such that the general method, based on the invariance under continuous group of transformations, is equivalent to a generalized scale transformation of the space and time variables.
Bibliographic Reference: WRITE TO CONFEDERATION SUISSE, CENTRE DE RECHERCHES EN PHYSIQUE DES PLASMAS, 21, AVENUE DES BAINS, CH-1007, LAUSANNE (SWITZERLAND), MENTIONING REPORT LRP 285/86, 1986.
Record Number: 1989124098700 / Last updated on: 1987-01-01
Available languages: en