Global smooth sonic-supersonic flows in a class of critical nozzles
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题目：Global smooth sonic-supersonic flows in a class of critical nozzles
摘要：This talk concerns the global existence of smooth sonic-supersonic potential flows in a two-dimensional expanding nozzle with the critical geometry at the inlet. The flow is governed by a quasilinear non-strictly hyperbolic equation with degeneracy at the inlet. An interesting phenomena is that the existence of such sonic-supersonic flows depends on the height of the inlet. These results, together with other works, describe completely the geometry of the de Laval nozzles where there are smooth transonic flows of Meyer type whose sonic points are all exceptional.