Correctness 'in the whole' of initial boundary value problems for a system of equations of the dynamics of a viscous radiating gas
Abstract
Reference is made to earlier studies containing a proof of the correct solvability 'in the whole' with respect to time of principal initial boundary value problems for a system of equations describing onedimensional flow of a viscous gas. In the present study, the same approach is used to prove the correct solvability 'in the whole' with respect to time of initial boundary value problems for a system of equations describing the dynamics of a viscous radiating, absorbing, and scattering gas. The proof is based on the LeraySchauder principle, a priori estimates, and classical results on the solvability of parabolic equations.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1985
 Bibcode:
 1985DoSSR.280.1326A
 Keywords:

 Boundary Value Problems;
 Gas Dynamics;
 Viscous Fluids;
 Absorbers (Materials);
 One Dimensional Flow;
 Theorem Proving;
 Fluid Mechanics and Heat Transfer