A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction
- Resource Type
- Working Paper
- Authors
- Kondo, S.; Novrianti; Sawada, O.; Tsuge, N.
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
The time-global existence of unique smooth positive solutions to the reaction diffusion equations of the Keener-Tyson model for the Belousov-Zhabotinsky reaction in the whole space is established with bounded non-negative initial data. Deriving estimates of semigroups and time evolution operators, and applying the maximum principle, the unique existence and the positivity of solutions are ensured by construction of time-local solutions from certain successive approximation. Invariant regions and long time behavior of solutions are also discussed.