Global estimates and solvability of the regularized problem of the three-dimensional unsteady motion of a viscous compressible heat-conductive multifluid

A. E. Mamontov ; D. A. Prokudin

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 547-590.

Résumé

We consider the initial-boundary value problem which describes unsteady motions of a viscous compressible heat-conducting multifluid in a bounded three-dimensional domain. Viscosity matrices which characterize viscous friction inside and between the multifluid constituents are supposed to have a general form (except the requirement of positive definiteness). The regularized boundary value problem is formulated and its global solvability is proved.

Détail

Keywords: global existence theorem, unsteady boundary value problem, three-dimensional flow, homogeneous mixture with multiple velocities and one temperature, heat-conductive fluid.
Mots-clés : viscous compressible fluid

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