Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit
Joint Authors
Li, Shiwei
Yang, Hanchun
Cheng, Hongjun
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper proposes the pressureless magnetohydrodynamics (MHD) system by neglecting the effect of pressure difference in the MHD system.
Firstly, the Riemann problem for the pressureless MHD system is solved with five kinds of structures of solutions consisting of combinations of shock, rarefaction wave, contact discontinuity, and vacuum state.
Secondly, the limit behavior of the obtained Riemann solutions as the magnetic field drops to zero is studied.
It is shown that, as the magnetic field vanishes, the Riemann solutions of the pressureless MHD system just tend to the corresponding Riemann solutions of the Euler equations for pressureless fluids.
The formation processes of delta shocks and vacuum states are clarified.
For the delta shock, both the intermediate density and internal energy simultaneously develop delta measures.
American Psychological Association (APA)
Li, Shiwei& Cheng, Hongjun& Yang, Hanchun. 2020. Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127457
Modern Language Association (MLA)
Li, Shiwei…[et al.]. Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit. Advances in Mathematical Physics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1127457
American Medical Association (AMA)
Li, Shiwei& Cheng, Hongjun& Yang, Hanchun. Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127457