3 papers
math.NA2024
Recovering the Polytropic Exponent in the Porous Medium Equation: Asymptotic Approach
Hagop Karakazian, Toni Sayah, Faouzi Triki
In this paper we consider the time dependent Porous Medium Equation, with real polytropic exponent , subject to a homogeneous Dirichlet boundary condition. We are…
math.NA2021
A Finite-Element Model for the Hasegawa-Mima Wave Equation
Hagop Karakazian, Sophie Moufawad, Nabil Nassif
In a recent work, two of the authors have formulated the non-linear space-time Hasegawa-Mima plasma equation as a coupled system of two linear PDEs, a solution of which is a pair $…
math.AP2017
Strong and Weak Solutions to the Hasegawa-Mima Equation with Periodic Boundary Conditions
Hagop Karakazian, Nabil Nassif
The two dimensional Hasegawa-Mima (HM) equation describes the time evolution of drift waves in magnetically-confined plasma. Several authors have t…