中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

  2022.07.19(星期二)

 

 点:腾讯会议441-845-142

n  上午10 :00-11 :00

报告人:刘勇 教授(中国科学技术大学)   

 Classification of lump type solutions to the KP equation

  要:Lump type solutions of the KP equation play important roles in the long time dynamics of the KP equation. In this talk, we discuss the classification of  lump type solutions. We show that they are characterized by the degree of the associated polynomials. Our method is based on the inverse scattering transform. This is joint work with Wen Yang and Juncheng Wei.

 

n  上午11 :00-12 :00

报告人:陈建毅 副教授(青岛农业大学)  

  目:Dynamics of nonlinear hyperbolic equations of Kirchhoff type

  要:In this talk, we discuss several new results on the dynamics of the solutions for hyperbolic type Kirchhoff equations in R1+3 with arbitrary initial energy.  We study the existence and classification of the initial data which generate the bounded solutions or finite time blow-up solutions. The interaction between the nonlinearity and nonlocal effect make the problem difficult and interesting. This is a joint work with Yimin Sun, Zonghu Xiu and Zhitao Zhang.

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