3 papers
math.AP2026
Global Smooth Solutions to a Thermoelastic Cauchy Problem in Phase Transitions
M. Affouf
We study one-dimensional viscoelastic phase transitions modeled by a Ginzburg--Landau energy with a non-convex cubic stress-strain law. Extending the isothermal model, we couple th…
math.NT2022
Classification of Reflective Numbers
Mahmoud Affouf
We define reflective numbers and their iterative summations. We provide classification of reflective numbers based on their iterative cyclical limits.
math.NT2021
A Remark on Mathieu's Series
M. Affouf
We establish a new lower bound for Mathieu's series and present a new derivation of its expansions in terms of Riemann Zeta functions.