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

5th All-Russian Conference with International Participation POLAR MECHANICS

地球科学;力学

Kuznetsov, I.V.^1,2 ; Sazhenkov, S.A.^1,2

Novosibirsk State University, Pirogova str. 1, Novosibirsk, Russia^1

Lavrentyev Institute of Hydrodynamics, ac. Lavrentyev av. 15, Novosibirsk, Russia^2

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

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/193/1/012037/pdf
DOI  :  10.1088/1755-1315/193/1/012037

学科分类：力学，机械学

来源: IOP

【 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.