Abstract
In this paper we prove the existence of uniform global attractors in the strong topology of the phase space for semiflows generated by vanishing viscosity approximations of some class of non-autonomous complex fluids.
Highlights
In this paper we consider a non-autonomous evolution problem which appears in the investigation of the model of concentrated suspensions with non-autonomous coecients
The theory of global attractors was applied rst for (1.1) in Amigo et al [1], where the existence of global unbounded attractors with respect to the weak topology was proved for the case b(t) ≡ 0
In the present paper we extend results from [14] to much more general non-autonomous case, using the uniform global attractor approach [11, 2326]
Summary
In this paper we consider a non-autonomous evolution problem which appears in the investigation of the model of concentrated suspensions (proposed by Hebraud and Lequex [12]) with non-autonomous coecients. Existence and uniqueness results for such model were proved in [4]. The theory of global attractors was applied rst for (1.1) in Amigo et al [1], where the existence of global unbounded attractors with respect to the weak topology was proved for the case b(t) ≡ 0. 22] the existence of global attractor in the strong topology of the phase space for m-semiow generated by vanishing viscosity approximation was proved. In the present paper we extend results from [14] to much more general non-autonomous case, using the uniform global attractor approach [11, 2326]
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