Document Type

Article

Publication Date

2018

College/Unit

Eberly College of Arts and Sciences

Department/Program/Center

Mathematics

Abstract

We discuss the existence of global solutions to the magnetohydrodynamics (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 estimate.

Source Citation

Elsrrawi, F., & Hattori, H. (2018). Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections. International Journal of Differential Equations, 2018, 1–11. https://doi.org/10.1155/2018/9867215

Comments

Copyright © 2018 Fariha Elsrrawi and Harumi Hattori. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Included in

Mathematics Commons

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