汇报标题 (Title)：The multiplication of distributions in the study of delta shock wave for the pressureless two-phase flow model with the damping mechanism（在钻研拥有阻尼机造的零压两相流模型的Delta激波的乘积）
汇报人 (Speaker)： 沈春 教授（鲁东大学）
汇报功夫 (Time)：2023年11月9日(周四) 18:00-19:30
汇报地址 (Place)：腾讯会议: 470-574-894
约请人(Inviter)：赖耕
主办部门：理学院数学系
汇报提要：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 。
