Genuinely nonlinear impulsive ultra-parabolic equations and convective heat transfer on a shock wave front

[摘要] In the present paper, we derive the kinetic equation and impulsive condition and formulate a class of kinetic solutions to impulsive ultra-parabolic equations. Here ultra-parabolic equations are linked with diffusion processes with inertia (convective heat transfer) on a shock wave front.

[发布机构] Novosibirsk State University, Pirogova str. 1, Novosibirsk, Russia^1;Lavrentyev Institute of Hydrodynamics, ac. Lavrentyev av. 15, Novosibirsk, Russia^2

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Convective heat transfer;genuine nonlinearity condition;impulsive condition;Kinetic solutions;Parabolic Equations