地　　點： 新波譜樓12樓1217報告廳 

　　時　　間：2019年12月20日（周五） 

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　　報告一 

　　報告題目：Compactness on Multidimensional Steady Euler Equations 

　　報 告 人：王天怡（副教授） 武漢理工大學 

　　時      間： 9：30--10：30 

　　Abstract 

　　In this talk, we will introduce the compactness framework for approximate solutions to subsonic-sonic flows governed by the steady compressible Euler equations in arbitrary dimension. Then, the incompressible limit will be presented. At the end of talk, we will show a interesting application to free boundary problem of steady Euler equations. 　　  

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　　自由討論 

　　時      間： 10：40--11：30  　  

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　　報告二 

　　報告題目：On the degenerate Monge-Ampere equations 

　　報 告 人：唐嵐（副教授） 華中師范大學 

　　時    間：  14：30--15：30 

　　Abstract 

　　we consider the Dirichlet problems of a class of degenerate Monge-Ampere equations and establish global C^{1, \alpha} regularity results for generalized solutions. 

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　　報告三 

　　報告題目：Existence, bifurcation and orbital stability results for the coupled nonlinear elliptic system with quadratic nonlinearity 

　　報 告 人：王俊（教授）  江蘇大學 

　　時    間：15：30--16：30 

　　Abstract 

　　In this talk we consider the class of the coupled elliptic system with quadratic nonlinearity. This type of system is related to the Raman amplification in a plasma. On the one hand, we study the existence and bifurcation of the solutions of system. On the other hand, we prove the orbital stability and instability of the solutions. 

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　　報告四 

　　報告題目：Concentration phenomenon for an elliptic Dirichlet problem near high critical exponents 

　　報 告 人：鄧圣兵（教授） 西南大學 

　　時      間： 16：30--17：30 

　　Abstract 

　　In this talk, I will present some results about concentration phenomenon for an elliptic Dirichlet problem near high critical exponents, which concentrate along sub-manifold of the boundary. This is a joint work with F. Mahmoudi and M. Musso. 

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