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- W2027261742 abstract "The general d-dimensional Riemann problem raises naturally the question of resolving the interaction of d planar shocks merging at a point. In gas dynamics, we may consider only standing shocks. This problem has received a satisfactory answer in dimension d = 2 (see [3, 4]). We investigate the 3-dimensional case. We restrict to the irrotational case, in order to keep the complexity of the solution within reasonable bounds. We show that a new kind of waves appears downstream, which we call a conical wave. When the equation of state is that of Chaplygin/von Kármán, we give a complete mathematical answer to this problem. This involves the existence and uniqueness of a complete minimal surface in a hyperbolic space, with prescribed asymptotics." @default.
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- W2027261742 date "2011-09-01" @default.
- W2027261742 modified "2023-09-25" @default.
- W2027261742 title "THREE-DIMENSIONAL INTERACTION OF SHOCKS IN IRROTATIONAL FLOWS" @default.
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- W2027261742 doi "https://doi.org/10.1142/s1793744211000394" @default.
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