Global existence of classical solutions for a class of reaction-diffusion systems

El Haj Laamri (1)

1 IECN - Institut Élie Cartan de Nancy

In this paper, we use duality arguments "\'{a} la Michel Pierre" to establish global existence of classic solutions for a class of parabolic reaction-diffusion systems modeling, for instance, the evolution of reversible chemical reactions.

Mots clés: blow-up; reaction-diffusion; classical solution; global existence

Domaines: Equations aux dérivées partielles [math.AP]

El Haj Laamri. Global existence of classical solutions for a class of reaction-diffusion systems. Acta Applicandae Mathematicae, 2011, 115 (2), pp.153-165. ⟨10.1007/s10440-011-9613-y⟩. ⟨hal-00568523⟩