Results 51 to 60 of about 783,150 (225)
Pullback Attractors for Nonautonomous Degenerate Kirchhoff Equations with Strong Damping [PDF]
Honglv Ma, Wang Jing, Jun Xie
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ABSTRACT The material point method (MPM) offers a distinct simulation method compared to conventional techniques such as the finite element method (FEM). In the MPM, physical bodies are represented by a collection of material points while the governing equations are solved on an independent computational mesh. Each simulation step follows a three‐stage
Marvin Koßler +2 more
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Pullback Attractors for 2D Navier-Stokes Equations with Delays and Their Regularity [PDF]
In this paper we obtain some results on the existence of solution, and of pullback attractors, for a 2D Navier-Stokes model with finite delay studied in [4] and [6].
García Luengo, Julia María +2 more
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Compactifications of strata of differentials
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
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Asymptotic Behaviour of a Non-Autonomous Lorenz-84 System [PDF]
The so called Lorenz-84 model has been used in climatological studies, for example by coupling it with a low-dimensional model for ocean dynamics. The behaviour of this model has been studied extensively since its introduction by Lorenz in 1984.
Anguiano Moreno, María +1 more
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Pullback attractors of nonautonomous dynamical systems
We present the necessary and sufficient conditions and a new method to study the existence of pullback attractors of nonautonomous infinite dimensional dynamical systems. For illustrating our method, we apply it to nonautonomous 2D Navier-Stokes systems.
Yejuan Wang +2 more
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Boundary representations of locally compact hyperbolic groups
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
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Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
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Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
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A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor [PDF]
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the non-linear term f. The function β"(
Caraballo Garrido, Tomás +3 more
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