62 citations · 261 across the 45 of their papers we have counts for
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math.AP2026
Soliton Resolution at Blow-Up for the Subconformal Nonlinear Wave Equation
Hatem Zaag
We consider the nonlinear wave equation (NLW) with a superlinear pure power nonlinearity in the subconformal and conformal cases. Under some conditions on initial data, this equati…
math.DS2026
On a Keller-Segel type equation to model Brain Microvascular Endothelial Cells growth's patterns
B Ambrosio, A Garroudji, S. Fitzsimons +2
This article presents a partial differential equation (PDE) of Keller-Segel (KS) type that reproduces patterns commonly observed during the growth of brain microvasculature. We pro…
math.AP2026
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t} \…