Abstract:This paper studies the global existence of component-wise nonnegative solutions of the Gray-Scott model in $\Omega \subset \mathbb{R}^n$, $n \ge 1$, with a mixture of both local and nonlocal diffusion operators. We use semigroup theory with duality arguments to establish the global existence and boundedness of solutions of our model. We also present the patterns of both local and mixed Gray-Scott models.
From: Md Shah Alam [view email]
[v1]
Fri, 19 Sep 2025 02:38:59 UTC (7 KB)
[v2]
Thu, 9 Oct 2025 05:04:51 UTC (682 KB)
[v3]
Fri, 12 Jun 2026 17:50:21 UTC (506 KB)
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