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- W2167110965 abstract "We consider a Riemann-type initial value problem for the compressible and polytropic two-dimensional Euler equations. The initial states are such that the flows have constant densities, and all fluid particles rotate clockwise (or counter clockwise) around the origin in circles with a constant speed. The equations are reduced to a system of ordinary differential equations for self-similar and axisymmetric solutions. We have established the existence of a two-parameter family of such solutions. All these solutions are globally bounded and continuous, have finite local energy and vorticity with finite boundary values at infinity. A one-parameter family of such solutions is in explicit form. The incompressible Euler equations with similar initial data are also considered." @default.
- W2167110965 created "2016-06-24" @default.
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- W2167110965 date "1996-01-01" @default.
- W2167110965 modified "2023-09-26" @default.
- W2167110965 title "On Integral Equations for Wave Diffraction Problems" @default.
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- W2167110965 doi "https://doi.org/10.1002/zamm.19960760306" @default.
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