3 papers
math.AP2026
The two-phase Alt-Phillips problem for quasilinear operators
Yousef Alamri, José Miguel Urbano
We establish interior regularity and growth estimates for the sign-changing minimizers of the singular or degenerate quasilinear Alt--Phillips functional throughout the ful…
math.AP2025
Aggregation-Confinement-Diffusion Evolutions with Saturation: Regularity and Long-Time Asymptotics
Yousef Alamri
We establish Hölder regularity for the weak solution to a degenerate diffusion equation in the presence of a local (drift) potential and nonlocal (interaction) term, posed in a bou…
math.NA2022
Very High-Order A-stable Stiffly Accurate Diagonally Implicit Runge-Kutta Methods with Error Estimators
Yousef Alamri, David I. Ketcheson
A numerical search approach is used to design high-order diagonally implicit Runge-Kutta (DIRK) schemes equipped with embedded error estimators, some of which have identical diagon…