Marwa Shahine
Postdoc researcher, TU/e
I am Marwa Shahine, a postdoctoral researcher at Eindhoven University of Technolog under the supervision of Michael Abdelmalik. I obtained my doctoral degree in November 2023 from the University of Bordeaux in applied mathematics, under the supervision of Stephane Brull. My research interests focus on the kinetic study of polyatomic gases, and its link with macroscopic equations and observables.
During my postdoc, we aim to study an approximation of the Boltzmann equation by the Galerkin method using the Phi-divergences, and then obtain numerical results for macroscopic quantities.
Below is a detailed description of my research interests
Research Interests
My research interests focus on the kinetic study of polyatomic gases, and its link with macroscopic equations and observables. In my PhD, the focus was on the linearized Boltzmann operator, which plays a crucial role for the macroscopic equations, where we proved its Fredholm property for single polyatomic gas, and a mixture of gases. In addition, we presented a formal derivation of the incompressible Navier Stokes equations from the polyatomic Boltzmann equation. One of our interests is the stationary Boltzmann equation, for which we proved the existence and uniqueness of solution for inflow boundary conditions.
During my postdoc, we aim to study an approximation of the Boltzmann equation by the Galerkin method using the Phi-divergences, and then obtain numerical results for macroscopic quantites such as the mass flow. Another goal we'll work on is deriving an entropy stable alternative to the Burnett equations using the VMS method and consider some applications such as the stationary heat problem, and the Poiseuille channel. For these applications, suitable boundary conditions have to be derived.