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| Limits of Riemann Solutions for Isentropic MHD in a Variable Cross-Section Duct as Magnetic Field Vanishes |
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Citation： |
Wancheng SHENG,Tao XIAO.Limits of Riemann Solutions for Isentropic MHD in a Variable Cross-Section Duct as Magnetic Field Vanishes[J].Chinese Annals of Mathematics B,2024,45(4):637~660 |
| Page view： 397
Net amount： 164 |
Authors： |
Wancheng SHENG; Tao XIAO |
Foundation： |
the National Natural Science Foundation of China (No. 12171305). |
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| Abstract： |
The stability for magnetic field to the solution of the Riemann problem for the
polytropic fluid in a variable cross-section duct is discussed. By the vanishing magnetic
field method, the stable solutions are determined by comparing the limit solutions with
the solutions of the Riemann problem for the polytropic fluid in a duct obtained by the
entropy rate admissibility criterion. |
Keywords： |
Variable duct, Magnetogasdynamics, Riemann problem, Stability,
Vanishing magnetic field method |
Classification： |
35L65, 35L50, 35L80, 76J20, 76N10 |
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