»ã±¨±êÌâ (Title)£ºThe multiplication of distributions in the study of delta shock wave for the pressureless two-phase flow model with the damping mechanism£¨ÔÚ×êÑÐÓµÓÐ×èÄá»úÔìµÄÁãѹÁ½ÏàÁ÷Ä£Ð͵ÄDelta¼¤²¨µÄ³Ë»ý£©

»ã±¨ÈË (Speaker)£º Éò´º ½ÌÊÚ£¨Â³¶«´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê11ÔÂ9ÈÕ(ÖÜËÄ) 18:00-19:30

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒé: 470-574-894

Ô¼ÇëÈË(Inviter)£ºÀµ¸û

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»ã±¨ÌáÒª£ºThe 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¡£