Pressureless Magnetohydrodynamics System: Riemann Problem and Vanishing Magnetic Field Limit

المؤلفون المشاركون

Li, Shiwei
Yang, Hanchun
Cheng, Hongjun

المصدر

Advances in Mathematical Physics

العدد

المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-13، 13ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2020-02-01

دولة النشر

مصر

عدد الصفحات

13

التخصصات الرئيسية

الفيزياء

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1127457