Results 21 to 30 of about 1,291,688 (320)
Exponential attractors for semilinear wave equations with damping [PDF]
Banach Center Publications, 1992 Albert Milani
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Chevron pattern equations: exponential attractor and global stabilization [PDF]
Vietnam Journal of Mathematics, 2021 The initial boundary value problem for a nonlinear system of equations modeling the chevron patterns is studied in one and two spatial dimensions. The existence of an exponential attractor and the stabilization of the zero steady state solution through application of a finite-dimensional feedback control is proved in two spatial dimensions.
Habiba Kalantarova +2 more
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Finite-dimensional exponential attractor for a model for order-disorder and phase separation
, 1994 D. Brochet +2 more
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GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2009 The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
Giulio Schimperna
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A construction of a robust family of exponential attractors [PDF]
Proceedings of the American Mathematical Society, 2005 Given a dissipative strongly continuous semigroup depending on some parameters, we construct a family of exponential attractors which is robust, in the sense of the symmetric Hausdorff distance, with respect to (even singular) perturbations.
Stefania Gatti +3 more
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AIMS Mathematics, 2022 We consider a time semidiscretization of the Ginzburg-Landau equation by the backward Euler scheme. For each time step τ, we build an exponential attractor of the dynamical system associated to the scheme.
Narcisse Batangouna
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Exponential approach to the hydrodynamic attractor in Yang-Mills kinetic theory [PDF]
Physical Review D, 2022 We use principal component analysis to study the hydrodynamic attractor in Yang-Mills kinetic theory undergoing the Bjorken expansion with Color Glass Condensate initial conditions.
Xiaojian Du +3 more
semanticscholar +1 more source
Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Pullback exponential attractors for differential equations with delay
Discrete & Continuous Dynamical Systems - S, 2021 We show the existence of an exponential attractor for non-autono-mous dynamical system with bounded delay. We considered the case of strong dissipativity then prove that the result remains for the weak dissipativity. We conclude then the existence of the global attractor and ensure the boundedness of its fractal dimension.
Tarfia s +4 more
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