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On the Camassa-Holm-KP model arising in shallow water theory

At the invitation of the school of mathematical science of Nanjing Normal University, Professor Yue Liu, Professor of the University of Texas at Arlington in the United States, conducted an online academic exchange on the morning of September 5, 2020, and the topic "On the Camassa-Holm-KP model arising in shallow water theory" in the conference room 503 of the Xingjian building. Professor Hongjun Gao of the school of mathematical science presided over the seminar, and some teachers of the school of mathematical science, masters and doctoral students of Applied Mathematics participated in the seminar.

Professor Yue Liu received his Ph.D. from Brown University in 1994. Professor Yue Liu is currently a leading expert in the research of partial differential equations, especially in the field of shallow water waves. In the fields of partial differential equations, applied analysis and fluid mechanics, integrable systems and soliton theory, stability theory of nonlinear wave equations, singularity formation, local and global well-posedness, etc., he has made internationally leading achievements. Part of the work was published in the famous international mathematical journals.

Professor Yue Liu first introduced the physical background of the Camassa-Holm-KP equation and the relationship of the related Camassa-Holm equation. Then Professor Yue Liu described the contributions made by many scholars in the development of the Camassa-Holm-KP equation. Finally, Professor Yue Liu reported on recent work in this area, including some properties of the Camassa-Holm-KP equation itself, its relationship with surface waves, and the existence of peak traveling wave solutions, etc.

At the end of the talk, the students and teachers here put forward their own questions about the contents of the talk, and Professor Yue Liu gave the answers with more details. The seminar successful completed in the warm applause of teachers and students.