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| The Riemann Problem with Delta Data forZero-Pressure Gas Dynamics |
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Citation： |
Li WANG.The Riemann Problem with Delta Data forZero-Pressure Gas Dynamics[J].Chinese Annals of Mathematics B,2016,37(3):441~450 |
| Page view： 1260
Net amount： 1135 |
Authors： |
Li WANG; |
Foundation： |
This work was supported by the TianYuan Special Funds of
the National Natural Science Foundation of China (No.11226171),
the Research Award Fund for Young Teachers in Shanghai Higher
Education Institutions (No.shdj008) and the Discipline
Construction of Equipment Manufacturing System Optimization
Calculation (No.13XKJC01). |
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| Abstract： |
In this paper, the Riemann problem with delta initial data for the
one-dimensional system of conservation laws of mass, momentum and
energy in zero-pressure gas dynamics is considered. Under the
generalized Rankine-Hugoniot conditions and the entropy condition,
we constructively obtained the global existence of generalized
solutions which contains delta-shock. Moreover, the author obtains
the stability of generalized solutions by making use of the
perturbation of the initial data. |
Keywords： |
Zero-pressure gas dynamics, Generalized Rankine-Hugoniot conditions,
Delta-shock |
Classification： |
35L65, 35L67 |
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