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On stationary flow of asymmetric fluids with diffusion
Author(s) -
Krzyżanowski Piotr
Publication year - 1994
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670171102
Subject(s) - mathematics , uniqueness , isotropy , bounded function , zero (linguistics) , compressibility , flow (mathematics) , cauchy stress tensor , mathematical analysis , viscous stress tensor , tensor (intrinsic definition) , diffusion , pure mathematics , mechanics , geometry , physics , thermodynamics , linguistics , philosophy , quantum mechanics
We prove existence and uniqueness theorems for weak solutions of equations describing stationary isothermic motion of a mixture of two viscous incompressible fluids with asymmetric stress tensor, in a bounded subset of ℝ 3 . The model of the flow we consider here assumes that some of coefficients characterizing isotropic properties of the fluid equal zero.