BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:S.V. Meleshko (Suranaree University of Technology\, Nakhon Ratchas ima\, Thailand) DTSTART:20260430T110000Z DTEND:20260430T120000Z DTSTAMP:20260513T184832Z UID:mmandim/112 DESCRIPTION:Title: On generalized simple waves of the equations of gas dynamics\nby S.V . Meleshko (Suranaree University of Technology\, Nakhon Ratchasima\, Thail and) as part of Mathematical models and integration methods\n\n\nAbstract\ nThe presentation is devoted to the analysis of generalized simple waves o f the gas dynamics and magnetogas dynamics equations. In contrast to simpl e waves\, generalized simple waves for a polytropic gas (with the polytrop ic exponent not equal to 5/3) are non-isentropic. The study considers one- dimensional plane and two-dimensional steady solutions. Using the method o f differential constraints\, a class of nontrivial exact solutions of the Cauchy problem for one-dimensional unsteady gas dynamics equations is obta ined. For nonsmooth and non-constant initial data\, a solution to the Riem ann problem is presented\, which is reduced to integrating systems of ordi nary differential equations. The solutions of these ordinary differential equations are given in explicit form. Generalized simple waves are also ob tained for the equations of magnetogas dynamics.\n\nREFERENCES\n\n1. Meles hko S.V. Methods for constructing exact solutions of partial differential equations. Springer\, New York\, 2005. 352 p.\n\n2. Meleshko S.V.\, Shapee v V.P. Nonisentropic solutions of simple wave type of the gas dynamics equ ations // Journal of Nonlinear Mathematical Physics. 2011. Vol. 18\, No. 1\, P. 195–212.\n\n3. Meleshko S.V.\, Moyo S.\, Webb G.M. Solutions of g eneralized simple wave type of magnetic fluid // Commun Nonlinear Sci Nume r Simulat. 2021. Vol. 103. 105991.\n LOCATION:https://researchseminars.org/talk/mmandim/112/ END:VEVENT END:VCALENDAR