Date of Graduation
2018
Document Type
Dissertation
Degree Type
PhD
College
Eberly College of Arts and Sciences
Department
Mathematics
Committee Chair
Harumi Hattori
Committee Co-Chair
Casian Pantea
Committee Member
Tudor Stanescu
Committee Member
Charis Tsikkou
Committee Member
Adrian Tudorascu
Abstract
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.
Recommended Citation
Elsrrawi, Fariha, "Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections" (2018). Graduate Theses, Dissertations, and Problem Reports. 5542.
https://researchrepository.wvu.edu/etd/5542