Speaker：Yongqian Zhang（Fudan University）

Time：2019-04-28,10:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:   In this talk we will first prove the global existence of supersonic entropy solutions with a strong contact discontinuity over Lipschitz wall governed by the two-dimensional steady exothermically reacting Euler equations, when the total variation of both initial data the slope of Lipschitz wall is sufficiently small. Next the validation of the quasi-one-dimensional approximation in the domain bounded by the wall the strong contact discontinuity is rigorous justified by proving that the difference between the average of weak solution the solution of quasi-one-dimensional system can be bounded by the square of the total variation of both initial data the slope of  Lipschitz wall.