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- W1980186508 abstract "We investigate the problem of two-dimensional, unsteady expansion of an inviscid, polytropic gas, which can be interpreted as the collapse of a wedge-shaped dam containing water initially with a uniform velocity. We model this problem by isentropic Euler equations. The flow is quasi-stationary, and using hodograph transform, we describe it by a partial differential equation of second order in the state space if it is irrotational initially. Furthermore, this equation is reduced to a linearly degenerate system of three partial differential equations with inhomogeneous source terms. These properties are used to prove that the flow is globally smooth when a wedge of gas expands into a vacuum, and to analyze that shocks may appear in the interaction of four planar rarefaction waves." @default.
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- W1980186508 date "2002-01-01" @default.
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- W1980186508 title "On the Two-Dimensional Gas Expansion for Compressible Euler Equations" @default.
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- W1980186508 doi "https://doi.org/10.1137/s0036139900361349" @default.
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