Self--similar solutions of convection--diffusion processes

M. Guedda, Université de Picardie Jules Verne, Amiens, France

E. J. Qualitative Theory of Diff. Equ., No. 3. (2000), pp. 1-18.

Abstract: Geometric properties of self--similar solutions to the equation $ u_t = u_{xx} + \gamma(u^q)_x,\ x > 0,\ t > 0 $ are studied, $ q $ is positive and $ \gamma\in \mathbb{R}\setminus\{0\}$. Two critical values of $ q $ (namely 1 and 2) appear the corresponding shapes are of very different nature.

You can download the full text of this paper in DVI, PostScript or PDF format, or have a look at the Zentralblatt or the Mathematical Reviews entry of this paper.