Article information

2002 , Volume 7, ¹ 4, p.107-115

Chernyshov Y.Y.

Two-dimensional centred wave in heat-conducting nonviscous gas

By means of special nonterminating convergent series one flow of heat-conducting nonviscous gas is presented. This flow is similar to Riman's centred wave and describes the strong compression of two-dimensional gas layers taking into account the radiation and Compton's mechanism of photon diffusion. The series' coefficients structure was analysed. The theorem on existence and uniqueness of the solution in the class of analytical function was proved.

[full text] Classificator Msc2000:
*35C05 Solutions in closed form
35Q30 Stokes and Navier-Stokes equations
76N15 Gas dynamics, general

Keywords: gas dynamics, nonviscous heat-conducting gas, Riemannian centered wave, shockless strong compression, existence and uniqueness theorem

Author(s):
Chernyshov Yu Yu
Office: The Ural State Academy of Mining and Geology
Address: 620219, Russia, Ekaterinburg
Phone Office: (3432) 585566
E-mail: bautin@ac.usart.ru


Bibliography link:
Chernyshov Y.Y. Two-dimensional centred wave in heat-conducting nonviscous gas // Computational technologies. 2002. V. 7. ¹ 4. P. 107-115
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