【摘 要】
：
The propagation of weak discontinuities is an important phenomenon in the theory of hyperbolic partial differential equations.It appears in physics,such as the
【机 构】
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ShanghaiUniversity,China
【出 处】
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2014年非线性偏微分方程的演化国际会议
论文部分内容阅读
The propagation of weak discontinuities is an important phenomenon in the theory of hyperbolic partial differential equations.It appears in physics,such as the spread of the wave front in the traveling of the rarefaction waves and the propagation of the wave front which is caused by the abrupt changes on terrain in the shallow water flow,etc.In this paper,by use of the characteristic decomposition method,we give the theory of propagation of weak discontinuities for compressible Euler system.It is proved that the weak discontinuities spread along characteristic curves for the Euler system,including one dimensional polytropic gas flow and two dimensional ideal gas flow,etc.Furthermore,two examples for the Euler system are shown.One is the rarefaction wave in polytropic gas flow and the other is the expansion problem of gas into vacuum in the pseudo-steady flow.
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