Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8947664 | International Journal of Non-Linear Mechanics | 2018 | 17 Pages |
Abstract
The Riemann problem for the one-dimensional zero-pressure gas dynamics system is considered in the frame of 뱉solutions based on a solution concept defined in the setting of a product of distributions. The reformulated form of the zero-pressure gas dynamics system is provided and consequently the unique 뱉solution is obtained within a convenient class of distributions including the Dirac delta measure. It is shown that our constructed 뱉solution is reasonable compared with the known results using other methods. Furthermore, the result is generalized for the one-dimensional zero-pressure gas dynamics system with the Coulomb-like friction term, which enables us to see that the 뱉solution is not self-similar any more. It is shown that the time evolution of the delta shock wave discontinuity is represented by a parabolic curve under the influence of the Coulomb-like friction term.
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Authors
Chun Shen, Meina Sun,