Solubility of unsteady equations of the three-dimensional motion of two-component

A. E. Mamontov ; D. A. Prokudin

Izvestiya. Mathematics , Tome 85 (2021) no. 4, pp. 755-812.

Résumé

We consider equations for the three-dimensional unsteady motion of mixtures of viscous compressible heat-conducting fluids in the multi-velocity approach. We prove the existence, globally in time and the input data, of a generalized (dissipative) solution of the initial-boundary value problem corresponding to flows in a bounded domain.

Détail

Keywords: global existence theorem, unsteady boundary-value problem, viscous compressible heat-conducting fluid, homogeneous mixture with multiple velocities, multidimensional flow.

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