【摘 要】
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In this talk we will analyze several longstanding,fundamental multidimensional shock problems in mathematical fluid mechanics and related free boundary problems
【机 构】
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UniversityofOxford,UK
【出 处】
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2014年非线性偏微分方程的演化国际会议
论文部分内容阅读
In this talk we will analyze several longstanding,fundamental multidimensional shock problems in mathematical fluid mechanics and related free boundary problems for nonlinear partial differential equations of mixed elliptic-hyperbolic type.These shock problems include supersonic flow onto a solid wedge(Prandtl-Meyers problem),shock reflection-diffraction by a concave cornered wedge(von Neumanns conjectures),and shock diffraction by a convex cornered wedge(Lighthills problem).Some recent developments and related mathematical challenges in solving these problems will be discussed.Further trends and open problems in this direction will be also addressed.This is based on joint work with M.Bae,M.Feldman,as well as W.Xiang.
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