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arXiv · 2607.29164

On finite-dimensional attractor to nonsmooth reaction-diffusion equations

Dalibor Pražák·Buddhika Priyasad·Michael Zelina
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Abstract

We consider a reaction diffusion equation, where the lower-order nonlinearity allows for a non-smooth part, described by a maximal monotone relation. We show that the global attractor has finite fractal dimension, and also obtain explicit upper estimates in terms of the data.

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Dalibor Pražák, Buddhika Priyasad, Michael Zelina. 2026-07-31. On finite-dimensional attractor to nonsmooth reaction-diffusion equations. https://arxiv.org/abs/2607.29164

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