Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections

Joint Authors

Hattori, Harumi
Elsrrawi, Fariha

Source

International Journal of Differential Equations

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-01-28

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Elsrrawi, Fariha& Hattori, Harumi. 2018. Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170851

Modern Language Association (MLA)

Elsrrawi, Fariha& Hattori, Harumi. Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections. International Journal of Differential Equations No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1170851

American Medical Association (AMA)

Elsrrawi, Fariha& Hattori, Harumi. Existence of Global Solutions for Nonlinear Magnetohydrodynamics with Finite Larmor Radius Corrections. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170851

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1170851