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arXiv · 1903.10715

A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction

S. Kondo·Novrianti·O. Sawada·N. Tsuge
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Abstract

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.

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S. Kondo, Novrianti, O. Sawada, N. Tsuge. 2019-05-17. A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction. https://arxiv.org/abs/1903.10715

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