Abstract
The Cauchy problem for a one-dimensional nonlinear porous-media diffusion-convection differential equation is considered. A self-similar solution is derived that, after the Riccati transformation, is described in terms of the Airy functions. The asymptotic behavior of the solution for a small amount of species introduced into the porous media is investigated.
Original language | English |
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Pages (from-to) | 1616-1621 |
Number of pages | 6 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 51 |
Issue number | 6 |
DOIs | |
State | Published - 1991 |
Externally published | Yes |