Generalized minimum dissipation in presence of convection and chemical reactions

Abstract

We continue the investigation of the entropy production functional

$$ S\sigma = \int L \sigma dxdt = \int {\left( {\Phi + \Psi } \right)dxdt} $$

(1)

subject to the conservation law constraints. The properly expressed entropy source σ_s, or the sum of the flux-dependent and gradient-dependent dissipation functions, plays the role of the kinetic potential L_σ.