We consider travelling wave solutions of a reaction–diffusion system arising in a model for infiltration with changing porosity due to reaction. We show that the travelling wave solution exists, and is unique modulo translations. A small parameter ε appears in this problem. The formal limit as ε → 0 is a free boundary problem. We show that the solution for ε > 0 tends, in a suitable norm, to the solution of the formal limit.
Travelling wave solutions of a reaction-infiltration problem and a related free boundary problem / J.CHADAM; X.CHEN; E.COMPARINI; R.RICCI. - In: EUROPEAN JOURNAL OF APPLIED MATHEMATICS. - ISSN 0956-7925. - STAMPA. - 5 (3):(1994), pp. 255-265. [10.1017/S0956792500001455]
Travelling wave solutions of a reaction-infiltration problem and a related free boundary problem
COMPARINI, ELENA;RICCI, RICCARDO
1994
Abstract
We consider travelling wave solutions of a reaction–diffusion system arising in a model for infiltration with changing porosity due to reaction. We show that the travelling wave solution exists, and is unique modulo translations. A small parameter ε appears in this problem. The formal limit as ε → 0 is a free boundary problem. We show that the solution for ε > 0 tends, in a suitable norm, to the solution of the formal limit.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.