Global weak attractors in the dynamics of bodies with vector-type microstructure [PDF]
, 2022 Luca Bisconti, Paolo Maria Mariano
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Global Attractor for Partial Functional Differential Equations with State-Dependent Delay
Abstract and Applied Analysis, 2013 This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain ...
Zhimin He, Bo Du
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Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems [PDF]
, 2023 David Cheban
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Improving Quantum Approximate Optimization by Noise-Directed Adaptive Remapping [PDF]
QuantumWe present Noise-Directed Adaptive Remapping (NDAR), a heuristic algorithm for approximately solving binary optimization problems by leveraging certain types of noise.
Filip B. Maciejewski +3 more
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Intrinsic Shape Property of Global Attractors in Metrizable Spaces [PDF]
, 2020 Nikita Shekutkovski, Martin Shoptrajanov
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Global Attractor for a Chemotaxis Model with Reaction Term
Journal of Applied Mathematics, 2013 A chemotaxis model with reproduction term in a bounded domain Ω⊂Rn is discussed in this paper, where n=2,3. First, the existence of a global-in-time solution is given, and then a global attractor for this model is obtained.
Xueyong Chen, Jianwei Shen
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Global attractor for a fractional nonlinear Klein-Gordon-Schrödinger system [PDF]
, 2023 Salah Missaoui
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Existence and regularity of a global attractor for doubly nonlinear parabolic equations
Electronic Journal of Differential Equations, 2002 In this paper we consider a doubly nonlinear parabolic partial differential equation $$ frac{partial eta (u)}{partial t}-Delta _{p}u+f(x,t,u)=0 quad hbox{in }Omega imesmathbb{R}^{+}, $$ with Dirichlet boundary condition and initial data given.
Abderrahmane El Hachimi, Hamid El Ouardi
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Global dynamics of a fourth-order parabolic equation describing crystal surface growth
Nonlinear Analysis, 2019 In this paper, we study the global dynamics for the solution semiflow of a fourth-order parabolic equation describing crystal surface growth. We show that the equation has a global attractor in H4per(Ω) when the initial value belongs to H1per(Ω).
Ning Duan, Xianyun Xu
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