Billiard Scattering on Rough Sets: Two-Dimensional Case
نویسنده
چکیده
The notion of a rough two-dimensional (convex) body is introduced, and to each rough body there is assigned a measure on T3 describing billiard scattering on the body. The main result is characterization of the set of measures generated by rough bodies. This result can be used to solve various problems of least aerodynamical resistance. Mathematics subject classifications: 37N05, 49K30, 49Q10
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 40 شماره
صفحات -
تاریخ انتشار 2009