Results 31 to 40 of about 56,089 (229)
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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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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A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics [PDF]
, 2018 The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem $u_t= u_{xx} + \lambda u - \beta(t)u^3$ when the parameter $\lambda > 0$ varies.
Broche, Rita de Cássia D. S. +2 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
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Pullback attractors for non-autonomous 2D-Navier-Stokes equations in some unbounded domains [PDF]
, 2006 In this Note we first introduce the concept of pullback asymptotic compactness. Next, we establish a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system under the general assumptions of pullback asymptotic ...
Caraballo Garrido, Tomás +2 more
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Rocky Mountain Journal of Mathematics, 1992 Le résultat principal peut s'énoncer ainsi: \(S\) et \(T\) sont deux espaces compacts, \(\alpha: S\to T\) une application continue, \(\varphi: F\to T\) un fibré de Banach, \(\pi: E\to S\) son obstruction par \(\alpha\), \(K\) l'enveloppe linéaire fermée dans \(C(S)\widehat{\widehat\otimes} \Gamma(\rho)\) de l'ensemble des éléments de la forme \((g\cdot
Kitchen, J.W., Robbins, D.A.
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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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Weak topologies for Carath\'eodory differential equations. Continuous dependence, exponential Dichotomy and attractors [PDF]
, 2018 We introduce new weak topologies and spaces of Carath\'eodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector fields.
Longo, Iacopo P. +2 more
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Abstract and Applied Analysis, 2013 We consider the existence of -pullback attractor for nonautonomous primitive equations of large-scale ocean and atmosphere dynamics in a three-dimensional bounded cylindrical domain by verifying pullback condition.
Kun Li, Fang Li
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Robustness of time-dependent attractors in H1-norm for nonlocal problems [PDF]
, 2018 In this paper, the existence of regular pullback attractors as well as their upper semicontinuous behaviour in H1-norm are analysed for a parameterized family of non-autonomous nonlocal reaction-diffusion equations without uniqueness, improving previous ...
Caraballo Garrido, Tomás +2 more
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