Item Type: |
Article
|
Erschienen: |
2003 |
Creators: |
Bothe, D. and Hilhorst, D. |
Title: |
A reaction-diffusion system with fast reversible reaction |
Language: |
English |
Journal or Publication Title: |
J. Math. Anal. Appl. |
Number: |
286 |
Divisions: |
04 Department of Mathematics > Mathematical Modelling and Analysis UNSPECIFIED Zentrale Einrichtungen 04 Department of Mathematics |
Date Deposited: |
20 Apr 2011 08:03 |
Identification Number: |
doi:10.1016/S0022-247X(03)00457-8 |
Alternative Abstract: |
Alternative abstract | Language |
---|
We consider a reaction-di�usion system which models a fast reversible reaction between
two mobile reactants and prove convergence of the solutions as the reaction rate tends to in�nity,
where the limiting problem is given by a di�usion equation with nonlinear di�usion. Since the
rate function has no sign, the usual methods to obtain a priori estimates in the case of irreversible
reactions do not apply; we deduce instead a priori estimates from computations based on Lyapunov
function techniques. | English |
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