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Existence and uniqueness results in the micropolar mixture theory of porous media

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în volumul unei conferinţe

Autori: I.D. Ghiba

Editorial: O. Carja, I. Vrabie, World Scientific, Applied analysis and differential equations, p.139-152, 2007.


In this paper we study the existence and uniqueness of solutions for the initial-boundary value problem of a micropolar binary mixture.We use some results of the semigroup theory of linear operators to obtain an existence and uniqueness theorem for the initial value problem with homogeneous Dirichlet boundary conditions. Continuous dependence of the solutions upon the initial data and supply terms is also established.

Cuvinte cheie: Micropolar mixture; Micropolar elastic solid; Incompressible micropolar viscous fuid; Existence; Uniqueness; Continuous dependence