3 papers
math.GM2023
Numerical Approach Based on the Composition of One-Step Time-Integration Schemes For Highly Deformable Interfaces
Aymen Laadhari, Ahmad Deeb
In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both t…
math.GM2023
A Finite Element Approach For Modeling Biomembranes In Incompressible Power-Law Flow
Aymen Laadhari, Ahmad Deeb
We present a numerical method to model the dynamics of inextensible biomembranes in a quasi-Newtonian incompressible flow, which better describes hemorheology in the small vasculat…
math.AP2023
Nonexistence of global weak solutions to semilinear wave equations involving time-dependent structural damping terms
Mokhtar Kirane, Ahmad Fino, Sebti Kerbal +1
We consider a semilinear wave equation involving a time-dependent structural damping term of the form . Our results show the influen…