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The existence of global weak solutions for a multi-component plane flow

Published online by Cambridge University Press:  03 May 2005

ARUP BHATTACHARJEE
ARUP BHATTACHARJEE
Affiliation:
Department of Differential Equations and Functional Analysis, People's Friendship University of Russia, Moscow, Russia email: [email protected]
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Abstract

We consider the dynamics of multi-component heat-conducting viscous incompressible flow in a plane domain when the viscosity and thermal conductivity of the medium depend on temperature. The dynamics of the flow is governed by an initial-boundary value problem for the Navier–Stokes system with heat conduction and heat transfer taken into account. The existence of a generalized global solution with velocity field and temperature of Hopf's class has been established in conjunction with the estimate of fractional smoothness of the order 1/2 in the time variable.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 6 , December 2004 , pp. 769 - 779
Copyright
2004 Cambridge University Press

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