Attractors for a Non-linear Parabolic Equation Modelling Suspension Flows
نویسندگان
چکیده
In this paper we prove the existence of a global attractor with respect to the weak topology of a suitable Banach space for a parabolic scalar differential equation describing a non-Newtonian flow. More precisely, we study a model proposed by Hébraud and Lequeux for concentrated suspensions.
منابع مشابه
Mathematical Analysis of a Nonlinear Parabolic Equation Arising in the Modelling of Non-Newtonian Flows
The mathematical properties of a nonlinear parabolic equation arising in the modelling of non-newtonian flows are investigated. The peculiarity of this equation is that it may degenerate into a hyperbolic equation (in fact a linear advection equation). Depending on the initial data, at least two situations can be encountered: the equation may have a unique solution in a convenient class, or it ...
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