engleski

Local existence theorem for micropolar viscous real gas flow with homogeneous boundary conditions

We consider the model for one-dimensional micropolar, viscous, polytropic, and heat- conducting real gas flow with homogeneous boundary conditions, whereby the generalized equation of state for the pressure is used. Generalization is manifested in that the pressure depends on the mass density as a power function. The governing system of partial differential equations is given in the Lagrangian description. Using Faedo- Galerkin method and a priori estimates, we prove that the generalized solution exists locally in time.

micropolar real gas ; generalized solution ; local existence

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