Results 21 to 30 of about 54,142 (287)
Global Attractor for Impulsive Reaction-Diffusion Equation [PDF]
Nonlinear Oscillations, 2005 In this paper, we consider a reaction-diffusion equation with nonsmooth nonlinearity whose solutions have impulse effects at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence of a compact semiinvariant global attractor in the phase space.
IOVANE, Gerardo, O. KAPUSTYAN
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Global Attractor of Atmospheric Circulation Equations with Humidity Effect
Abstract and Applied Analysis, 2012 Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution in L2(Ω,R4).
Hong Luo
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Advances in Nonlinear Analysis, 2022 This article deals with the degenerate fractional Kirchhoff wave equation with structural damping or strong damping. The well-posedness and the existence of global attractor in the natural energy space by virtue of the Faedo-Galerkin method and energy ...
Yang Wenhua, Zhou Jun
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Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence [PDF]
, 2006 In this work we derive a lower bounds for the Hausdorff and fractal dimensions of the global attractor of the Sabra shell model of turbulence in different regimes of parameters.
Boris Levant +20 more
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Strong Global Attractors for 3D Wave Equations with Weakly Damping
Abstract and Applied Analysis, 2012 We consider the existence of the global attractor A1 for the 3D weakly damped wave equation. We prove that A1 is compact in (H2(Ω)∩H01(Ω))×H01(Ω) and attracts all bounded subsets of (H2(Ω)∩H01(Ω))×H01(Ω) with respect to the norm of (H2(Ω)∩H01(Ω))×H01(Ω).
Fengjuan Meng
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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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Quantum Zakharov Model in a Bounded Domain [PDF]
, 2011 We consider an initial boundary value problem for a quantum version of the Zakharov system arising in plasma physics. We prove the global well-posedness of this problem in some Sobolev type classes and study properties of solutions.
A. Babin +23 more
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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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Regularity of Global Attractor for the Reaction-Diffusion Equation
Abstract and Applied Analysis, 2012 By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space Hk for all k>0, which ...
Hong Luo
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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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