报告题目:The expression of global smooth Cauchy solutions and Riemann solutions of multi-dimensional non-homogeneous scalar conservation law with general source term g(t,u)
报 告 人:杨小舟教授,中国科学院精密测量研究院(原中国科学院武汉物理与数学研究所)
报告时间:2024年6月24日 下午15:30开始
报告地点:9号楼 113报告厅
报告摘要:For the multi-dimensional non-homogeneous scalar conservation law, the case of general source term g(t,u) is much harder than the case of variable separatable source term as g^*(u). In this talk, we will present and discuss the expression of global smooth Cauchy solutions and Riemann solutions of multi-dimensional non-homogeneous scalar conservation law with general source term g(t,u), and discuss some new properties and structures of global solutions comparing with the case of the source term with the form as g^*(u).
报告人简介:
杨小舟,中科院精密测量研究院(原中科院武汉物理与数学研究所)研究员及数学部主任、博士生导师,中国数学会理事,湖北省数学学会副理事长,T1级数学期刊《Acta Mathematica Scientia》的编委,曾获得第八届教育部霍英东基金奖励和湖北省第十三届自然科学优秀学术论文奖一等奖。