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Nonlinear degenerate parabolic equations for a thermohydraulic model

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  • 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.
    Mathematics Subject Classification: Primary: 35K65, 76D05; Secondary: 35G30.


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