P. Zegeling

activity

20172026

most citedSimulation of thin film flows with a moving mesh mixed finite element method

1 citations · 1 across the 2 of their papers we have counts for

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math.AP2026

Well-posedness and Blow-up in a semilinear heat equation with variable-order Scarpi memory

Pu Yuan, P. A. Zegeling

We study the semilinear heat equation $^{S} D_{0}^{α (t)} u = Δ u + u^{p}$ on $\RR^n$, where $p > 1$ and the Scarpi order changes exponentially from $α_{1}$ to $α_{2}$ , with $0 < α_{1}, α_{2} < 1$ . We esta…

math.AP2026

Wellposedness and dynamics of two types of reaction--nonlocal diffusion systems under the inhomogeneous spectral fractional Laplacian

Pu Yuan, Paul A. Zegeling

Reactio-nonlocal diffusion equations model nonlocal transport and anomalous diffusion by replacing the Laplacian with a fractional power, capturing diffusion mechanisms beyond Brow…