报告题目 (Title)：The multiplication of distributions in the study of delta shock wave for the pressureless two-phase flow model with the damping mechanism（在研究具有阻尼机制的零压两相流模型的Delta激波的乘积）

报告人 (Speaker)： 沈春 教授（鲁东大学）

报告时间 (Time)：2023年11月9日(周四) 18:00-19:30

报告地点 (Place)：腾讯会议: 470-574-894

邀请人(Inviter)：赖耕

主办部门：理学院数学系

报告摘要：The Riemann problem for the inhomogeneous pressureless two-phase flow model with the linear damping term was considered by using two different methods for comparison. The Sarrico's theory of distributional products is first used to solve this problem in the frame of $\alpha-$solutions based on the concept of solutions defined in the setting of distributional products. Two kinds of discontinuous solutions are achieved within a convenient space of distributions involving discontinuous functions and Dirac delta measures. Then, the substitution of velocity variable is also used to find exact Riemann solutions for this inhomogeneous model in perfectly explicit expressions, which may involve either vacuum state or delta shock wave. It is interestingly found that the strength and wave-speed of this delta shock wave change exponentially along with the time under the influence of the linear damping term。