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Global Existence for Coupled Reaction–Diffusion Systems

✍ Scribed by Nassima Boudiba; Michel Pierre

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
93 KB
Volume
250
Category
Article
ISSN
0022-247X

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✦ Synopsis

We prove here global existence in time of classical solutions for reaction᎐diffusion systems with strong coupling in the diffusion and with natural structure conditions on the nonlinear reactive terms. This extends some similar results in the case of a diagonal diffusion-operator associated with nonlinearities preserving the positivity and the total mass of the solutions or for which the total mass is a priori bounded. Here, however, no positivity assumption is made since nondiagonal systems do not preserve it.

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