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2007, 2007(Special): 399-408. doi: 10.3934/proc.2007.2007.399

## Nonlinear degenerate parabolic equations for a thermohydraulic model

 1 General Education, Gifu Natioinal College of Technology, Kamimakuwa 2236-2, Motosu-shi, Gifu 501-0495, Japan 2 Department of Mathematics, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466-8555

Received  September 2006 Revised  May 2007 Published  September 2007

In this paper, we consider an initial boundary value problem for a system of second order partial differential equations. This system consists of the Navier-Stokes equations and a nonlinear heat equation. More precisely, we impose a nonlinear heat flux associated with a class of maximal monotone graphs with a Neumann boundary condition. We establish the conditions required to prove the existence of a solution for the given data.
Citation: Takesi Fukao, Masahiro Kubo. Nonlinear degenerate parabolic equations for a thermohydraulic model. Conference Publications, 2007, 2007 (Special) : 399-408. doi: 10.3934/proc.2007.2007.399
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