报告人:刘跃 教授 (美国University of Texas at Arlington)
报告人简介:刘跃现为美国德克萨斯大学阿灵顿分校数学系的正教授,1994年博士毕业于美国布朗大学数学系,师从国际著名数学家Walter Strauss教授。刘跃教授是目前国际上偏微分方程研究尤其是浅水波领域的一流专家,他的研究兴趣在非线性波解的适定性、稳定性、长时间性态以及数值计算等。刘跃教授目前已在CPAM, CMP, ARMA, Adv. Math, J. ReineAngew. Math., JMPA,Math.Ann.,Math.Z., JFA, CPDE, TAMS, Nonlinearity与 JDE等国际著名刊物上发表论文90余篇。
报告题目:Break waves and solitary waves to the rotation-two-component Camassa-Holm system
报告摘要:The rotation-two-component Camassa-Holm system models the equatorial water waves with the effect of the Coriolis force. The quasi-nonlinear nature of the system suggests that smooth initial data may develop finite time singularity, giving rise to the so-call wave-breaking phenomenon. On the other hand, the balance between the nonlinearity and dispersion makes it possible to support solitary waves, sometimes even with singularities. In this talk I will discuss these two types of solutions.
报告时间:2017年6月19日(星期一)上午10:30---11:30
报告地点:科技楼南楼602