Date of Graduation
Eberly College of Arts and Sciences
We discuss the existence of global solutions to the MHD equations where the effects of finite Larmor radius corrections are taken into account. Unlike the usual MHD, the pressure is a tensor and it depends on not only the density but also the magnetic field. We show the existence of global solutions by the energy methods. Our techniques of proof are based on the existence of local solution by Semigroups theory and a priori estimates.
Elsrrawi, Fariha, "Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections" (2018). Graduate Theses, Dissertations, and Problem Reports. 5542.