3 papers
math.NA2026
Stability and Convergence of Modal Approximations in Coupled Thermoelastic Systems: Theory and Simulation
I. Essadeq, S. Nafiri, S. Benjelloun +1
In this work, we review and analyze both the theoretical and numerical aspects of strongly and weakly coupled thermoelastic systems. By employing spectral analysis techniques and e…
math.AP2024
Global existence of weak solutions to incompressible anisotropic Cahn-Hilliard-Navier-Stokes system
Azeddine Zaidni, Saad Benjelloun, Radouan Boukharfane
We study the anisotropic, incompressible Cahn-Hilliard-Navier-Stokes system with variable density in a bounded smooth domain . This work extends previous res…
math-ph2024
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalism
Azeddine Zaidni, Philip J Morrison, Saad Benjelloun
Cahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such…