报告题目:Existence and Uniqueness of Global Weak solutions of the Camassa-Holm Equation with a Forcing
报 告 人:朱世辉(四川师范大学 教授)
报告时间:2021年11月23日 下午 4:00开始
报告地点:腾讯会议线上报告
会议链接://meeting.tencent.com/dm/PDHsxtHexi7y
会议号:457 262 369
报告摘要:In this talk, we consider the global well-posedness for the CH equation with a forcing in $H^1(R)$ by the characteristic method. Due to the forcing, many important properties to study the well-posedness of weak solutions do not inherit from the CH equation without a forcing, such as conservation laws, integrability. By exploiting the balance law and some new estimates, we prove the existence and uniqueness of global weak solutions for the CH equation with a forcing in $H^1(R)$.
报告人简介:朱世辉,四川师范大学数学科学学院教授,博士生导师,四川省学术和技术带头人后备人选。已主持国家自然科学基金项目3项,教育部博士点基金项目,四川省杰出青年基金。主要从事非线性Schrodinger方程爆破解动力学性质研究,成果发表在JDE, JMP,JDDE,Dynamics of PDE和《中国科学》等国际主流著名期刊, 并多次被国内外同行引用,包括国际著名学者 G Fibich的专著。