Results 21 to 30 of about 9,762 (294)
Attractors for Nonautonomous Parabolic Equations without Uniqueness
International Journal of Differential Equations, 2010 Using the theory of uniform global attractors of multivalued semiprocesses, we prove the existence of a uniform global attractor for a nonautonomous semilinear degenerate parabolic equation in which the conditions imposed on the nonlinearity provide the ...
Cung The Anh, Nguyen Dinh Binh
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iScience, 2020 Summary: Cancer metabolism is critical for understanding the mechanism of tumorigenesis, yet the understanding is still challenging. We studied gene-metabolism regulatory interactions and quantified the global driving forces for cancer-metabolism ...
Wenbo Li, Jin Wang
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Cross-attractor modeling of resting-state functional connectivity in psychiatric disorders
NeuroImage, 2023 Resting-state functional connectivity (RSFC) is altered across various psychiatric disorders. Brain network modeling (BNM) has the potential to reveal the neurobiological underpinnings of such abnormalities by dynamically modeling the structure-function ...
Yinming Sun +2 more
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Evolutionary system, global attractor, trajectory attractor and applications to the nonautonomous reaction-diffusion systems [PDF]
, 2022 In [Adv. Math., 267(2014), 277-306], Cheskidov and Lu develop a new framework of the evolutionary system that deals directly with the notion of a uniform global attractor due to Haraux, and by which a trajectory attractor is able to be defined for the ...
Lu, Songsong
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Global attractor for the Cahn-Hilliard system [PDF]
Bulletin of the Australian Mathematical Society, 1994 The Cahn-Hilliard system, a natural extension of the single Cahn-Hilliard equation in the case of multicomponent alloys, will be shown to generate a dissipative semigroup on the phase space ℋ = [H2(Ω)]m. Following Hale's ideas and based on the existence and form of the Lyapunov functional, our main result will be the existence of a global attractor on ...
Cholewa, Jan W., Dlotko, Tomasz
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Dynamic of the nonclassical diffusion equation with memory
Boundary Value Problems, 2023 In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space.
Jing Wang +3 more
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Stability of limit regimes in general reaction-diffusion type systems
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 In this paper, we consider the stability of limit regimes for a general class of nonlinear distributed mathematical models named Reaction-Diffusion models. RD systems naturally arise in many applications.
О. В. Капустян +1 more
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Lower semicontinuity of attractors for non-autonomous dynamical systems [PDF]
, 2009 This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations in Banach spaces. We require the unperturbed attractor to be given as the union of unstable manifolds of time-dependent hyperbolic
Langa, José A. +3 more
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Existence and attractors of solutions for nonlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We prove existence and asymptotic behaviour results for weak solutions of a mixed problem (S). We also obtain the existence of the global attractor and the regularity for this attractor in $\left[H^{2}(\Omega )\right] ^{2}$ and we derive estimates of its
Hamid El Ouardi, Abderrahmane El Hachimi
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On the regularity of global attractors
Discrete and Continuous Dynamical Systems, 2009 11 ...
CONTI, MONICA, PATA, VITTORINO
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