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南方能源建设, 2021 [Introduction] Trenchless horizontal directional drilling is widely used in power cable line project to cross natural or artificial obstacles at present.Multiple cable protection tubes need to be laid successfully at one time in engineering applications.
CAO Bo, HUANG Longxiang, LUO Yan
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Pullback attractor for a nonautonomous parabolic Cahn-Hilliard phase-field system
AIMS Mathematics, 2023 Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results.
Jean De Dieu Mangoubi +2 more
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Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation
Discrete Dynamics in Nature and Society, 2020 This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
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Degenerate pullback attractors for the 3D Navier-Stokes equations [PDF]
, 2015 As in our previous paper, the 3D Navier-Stokes equations with a translationally bounded force contain pullback attractors in a weak sense. Moreover, those attractors consist of complete bounded trajectories.
Cheskidov, Alexey, Kavlie, Landon
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Random Attractor for Stochastic Wave Equation with Arbitrary Exponent and Additive Noise on $\mathbb{R}^n$ [PDF]
, 2014 Asymptotic random dynamics of weak solutions for a damped stochastic wave equation with the nonlinearity of arbitrarily large exponent and the additive noise on $\mathbb{R}^n$ is investigated.
Li, Hongyan, You, Yuncheng
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Minimality properties of set-valued processes and their pullback attractors [PDF]
, 2014 We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
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Advances to Electrode Pullback in Cochlear Implant Surgery
The Scientific World Journal, 2012 Objective. To observe the intracochlear behavior of a cochlear implant electrode insertion technique (called “pullback”) in temporal bones. Study Design. Experimental. Settings. Tertiary referral center. Method.
Ingo Todt +3 more
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Entropy increase in switching systems [PDF]
, 2013 The relation between the complexity of a time-switched dynamics and the complexity of its control sequence depends critically on the concept of a non-autonomous pullback attractor.
Amigó +9 more
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Pullback attraction in H 0 1 $H_{0}^{1}$ for semilinear heat equation in expanding domains
Boundary Value Problems, 2020 In this article, we consider the pullback attraction in H 0 1 $H_{0}^{1}$ of pullback attractor for semilinear heat equation with domains expanding in time. Firstly, we establish higher-order integrability of difference about variational solutions; then,
Yanping Xiao, Yuqin Bai, Huanhuan Zhang
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Parameter shifts for nonautonomous systems in low dimension: Bifurcation- and Rate-induced tipping [PDF]
, 2016 We discuss the nonlinear phenomena of irreversible tipping for non-autonomous systems where time-varying inputs correspond to a smooth "parameter shift" from one asymptotic value to another.
Ashwin, Peter +2 more
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