Results 21 to 30 of about 54,737 (202)
Laryngoscope Investigative Otolaryngology, 2019 Objective Different aspects should be considered to achieve an atraumatic insertion of cochlear implant electrode arrays as an important surgical goal. Intracochlear pressure changes are known to influence the preservation of residual hearing.
Gina Lauer +4 more
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Mathematics, 2023 In the present paper, we aim to study the long-time behavior of a stochastic semi-linear degenerate parabolic equation on a bounded or unbounded domain and driven by a nonlinear noise.
Xin Liu, Yanjiao Li
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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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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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Piecewise Principal Coactions of Co-Commutative Hopf Algebras [PDF]
, 2014 Principal comodule algebras can be thought of as objects representing principal bundles in non-commutative geometry. A crucial component of a principal comodule algebra is a strong connection map.
Zieliński, Bartosz
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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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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations
Discrete Dynamics in Nature and Society, 2018 We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. Under some backwards assumptions of the nonautonomous force, it is shown that the theoretical existence result for such an attractor is derived ...
Jiali Yu, Wenhuo Su, Dongmei Xu
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Pullback-Forward Dynamics for Damped Schrödinger Equations with Time-Dependent Forcing
Discrete Dynamics in Nature and Society, 2018 This paper deals with pullback dynamics for the weakly damped Schrödinger equation with time-dependent forcing. An increasing, bounded, and pullback absorbing set is obtained if the forcing and its time-derivative are backward uniformly integrable. Also,
Lianbing She, Yangrong Li, Renhai Wang
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Diagnostics, 2021 Cardiac transplant-related vasculopathy remains a leading cause of morbidity and mortality in heart transplant (HTx) recipients. Recently, coronary angiography-derived vessel fractional flow reserve (vFFR) has emerged as a new diagnostic computational ...
Niya Mileva +13 more
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Pullback D-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source
Journal of Applied Mathematics, 2014 We consider the pullback D-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary ...
Danxia Wang, Jianwen Zhang, Yinzhu Wang
doaj +1 more source