The Scalar Riemann Problem in Two Spatial Dimensions Piecewise Smoothness of So

Cover The Scalar Riemann Problem in Two Spatial Dimensions Piecewise Smoothness of So
The Scalar Riemann Problem in Two Spatial Dimensions Piecewise Smoothness of So
W Brent Lindquist
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Proposition 2. 8: Let {a, b] and {c, .
The rarefaction wave determined at x^ by the interval {c, b') for /'(£»*) t ■^ x ^ f'(c) t, t>0.
The rarefaction wave determined by the h^x) for f'(c) t ^ x ^ f'(d) t, t > .
The constant state u = d for /'(c) t ^ x, t > . This solution is sketched in Fig. 2. 3 .
For the case in which {c, d} and {b', a'} are not disjoint we remark that the generalized Oleinik solution can be described by a solution similar to case 1 above f or ^ f ^ r^ and by a solution sim
...ilar to case 2 for f

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