Uniform bounds for a thermo-diffusive system beyond exponential growth

Weinan Wang

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arXiv · 2609.06741

Uniform bounds for a thermo-diffusive system beyond exponential growth

Weinan Wang

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Abstract

In this paper, we prove a global-in-time uniform bound for solutions to a thermo-diffusive system in the whole space with bounded nonnegative initial data. The result allows exponential reaction rates and a range of superexponential rates determined by the diffusivities. This extends the recent results of La, Roquejoffre, and Ryzhik \cite{LRR24} and of Leontev and Ryzhik \cite{LR26} beyond their strictly subexponential range.

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Weinan Wang. 2026-09-06. Uniform bounds for a thermo-diffusive system beyond exponential growth. https://arxiv.org/abs/2609.06741

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