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Recent advances in PDEs 研讨会

Development of shock wave in piston problem

Speaker

许刚 , 南京师范大学

Time

03 Sep, 14:45 - 15:25

Abstract

As indicated in Sections 48 and 76 of Courant and Friedrichs’s book [Supersonic Flow and Shock Waves, Interscience, New York, 1948], if a piston is moved into the gas-filled tube, then a simple compression or condensation wave originates at the piston. And a discontinuity may arise in a compression wave. The wave form may gradually steepen so much that an infinite slope occurs at some point, and at this point a shock will develop. In this talk, we will focus on the development of shock wave which formed due to the impetus of the piston.