Mohamed El Morsalani

collaborators

3 papers

math.AP2026

Geometric Gradient Flows from Elliptic Level Sets: Normal Decomposition and Reflection Dynamics

Mohammed Barkatou, Mohamed El Morsalani

We investigate the asymptotic geometry of shifting superlevel sets $Ω_{t} = {x \in Ω : u (x) > t}$ generated by solutions to the elliptic Dirichlet problem $- Δ u = f$ in $Ω$ , where th…

math.DS2026

Global Convergence of the Return Dynamics in the Class $O_{C}$

Mohammed Barkatou, Mohamed El Morsalani

This research investigates a geometric dynamical mechanism within a specific class of domains that contain a fixed convex core. By using a radial structure that links the boundarie…

math.AP2026

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity

Mohammed Barkatou, Mohamed El Morsalani

We investigate a geometric dynamical mechanism arising in the class $O_{C}$ of domains containing a fixed convex set $C$ and satisfying two geometric normals properties int…

Geometric Gradient Flows from Elliptic Level Sets: Normal Decomposition and Reflection Dynamics

Global Convergence of the Return Dynamics in the Class OC​

The Return Map in the Class OC​: Geometry, Dynamics, and Thickness Regularity

Global Convergence of the Return Dynamics in the Class $O_{C}$

The Return Map in the Class $O_{C}$ : Geometry, Dynamics, and Thickness Regularity