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arXiv · 2406.15672

Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations

John Ivanhoe·Michael Salins
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Abstract

We examine stochastic reaction-diffusion equations of the form $\frac{\partial u}{\partial t} = \mathcal{A} u(t,x) + f(u(t,x)) + \sigma(u(t,x))\dot{W}(t,x)$ and provide sufficient conditions on the reaction term and multiplicative noise term that guarantees solutions never explode in finite time.

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John Ivanhoe, Michael Salins. 2024-06-21. Preventing Finite-Time Blowup in a Constrained Potential for Reaction-Diffusion Equations. https://arxiv.org/abs/2406.15672

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