Results 51 to 60 of about 11,388 (241)
Upper Semicontinuity of Attractors for a Non-Newtonian Fluid under Small Random Perturbations
This paper investigates the limiting behavior of attractors for a two-dimensional incompressible non-Newtonian fluid under small random perturbations. Under certain conditions, the upper semicontinuity of the attractors for diminishing perturbations is ...
Jianxin Luo
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Upper semicontinuous decompositions of developable spaces [PDF]
Presented here are theorems concerning upper semicontinuous decompositions of developable spaces, topological in the sense that the common parts of intersecting domains (open sets) are open. Theorem 1 shows that, if the elements of such a decomposition do not have nonbicompact [I] intersections with the closures of their complements, the decomposition ...
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Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
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In this article, we investigate the Wong-Zakai approximations of a class of second order non-autonomous stochastic lattice systems with additive white noise.
Xintao Li
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MF-traces and a Lower Bound for the Topological Free Entropy Dimension in Unital C*-algebras [PDF]
We continue previous work on Voiculescu's topological free entropy dimension {\delta}_{top}. We introduce the notions of MF-trace, MF-ideal, and MF-nuclearity and use these concepts to obtain upper and lower bounds for {\delta}_{top}, and in many cases ...
Hadwin, Don+3 more
core
Upper Semicontinuous Decompositions of the n-Sphere [PDF]
We consider conditions under which an upper semicontinuous decomposition has the decomposition space which is a topological nsphere. A special emphasis is placed on the case in which the decomposition has only a countable number of nondegenerate elements.
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Attractors for an Energy‐Damped Viscoelastic Plate Equation
ABSTRACT In this paper, we consider a class of non‐autonomous beam/plate equations with an integro‐differential damping given by a possibly degenerate memory and an energy damping given by a nonlocal ε$$ \varepsilon $$‐perturbed coefficient. For each ε>0$$ \varepsilon >0 $$, we show that the dynamical system generated by the weak solutions of the ...
V. Narciso+3 more
wiley +1 more source
Perturbation of the diffusion and upper semicontinuity of attractors
The authors deal with the long-time behaviour of parabolic problems with nonlinear boundary conditions. Under some natural conditions both on growth and sign conditions on nonlinearities the authors obtain uniform bounds for attractors corresponding to semigroups.
José M. Arrieta+2 more
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Abstract The problem of deriving a gradient flow structure for the porous medium equation which is thermodynamic, in that it arises from the large deviations of some microscopic particle system is studied. To this end, a rescaled zero‐range process with jump rate g(k)=kα,α>1$g(k)=k^\alpha, \alpha >1$ is considered, and its hydrodynamic limit and ...
Benjamin Gess, Daniel Heydecker
wiley +1 more source
Iterative roots of upper semicontinuous multifunctions [PDF]
Abstract The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctions.
Pingping Zhang, Li-Guo Huang
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