Solvability of a stationary boundary value problem for a model system of the equations of barotropic motion of a mixture of compressible viscous fluids


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Under consideration is some boundary value problem for a model system of equations that describes the steady barotropic motion of a homogeneous mixture of compressible viscous fluids in a bounded three-dimensional domain. We prove the existence theorem for weak solutions of the problem, imposing no restrictions on the structure of total viscosity matrix except the standard requirements of positive definiteness.

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D. Prokudin

Lavrent’ev Institute of Hydrodynamics

编辑信件的主要联系方式.
Email: prokudin@hydro.nsc.ru
俄罗斯联邦, pr. Akad. Lavrent’eva 15, Novosibirsk, 630090

M. Krayushkina

Kemerovo State University

Email: prokudin@hydro.nsc.ru
俄罗斯联邦, ul. Krasnaya 6, Kemerovo, 650043

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