Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The generalized Riemann problem for a simplified model of one-dimensional ideal gas in magnetogasdynamics in a neighborhood of the origin (t>0) in the (x,t) plane is considered.
According to the different cases of the corresponding Riemann solutions, we construct the perturbed solutions uniquely with the characteristic method.
We find that, for some case, the contact discontinuity appears after perturbation while there is no contact discontinuity of the corresponding Riemann solution.
For most cases, the Riemann solutions are stable and the perturbation can not affect the corresponding Riemann solutions.
While, for some few cases, the forward (backward) rarefaction wave can be transformed into the forward (backward) shock wave which shows that the Riemann solutions are unstable under such local small perturbations of the Riemann initial data.
American Psychological Association (APA)
Liu, Yujin& Sun, Wenhua. 2016. Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095906
Modern Language Association (MLA)
Liu, Yujin& Sun, Wenhua. Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics. Advances in Mathematical Physics No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1095906
American Medical Association (AMA)
Liu, Yujin& Sun, Wenhua. Analysis of the Stability of the Riemann Problem for a Simplified Model in Magnetogasdynamics. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1095906
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095906