Results 21 to 30 of about 5,259,770 (378)
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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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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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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AIMS Mathematics, 2020 In this article, we are interested in the study of Parabolic system of Cahn-Hilliard with a proliferation term and Dirichet boundary conditions. In particular, we prove the existence and the uniqueness of the solution, the existence of the global ...
Aymard Christbert Nimi, Daniel Moukoko
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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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Time-Dependent Attractor for the Oscillon Equation [PDF]
, 2010 We investigate the asymptotic behavior of the nonautonomous evolution problem generated by the Klein-Gordon equation in an expanding background, in one space dimension with periodic boundary conditions, with a nonlinear potential of arbitrary polynomial ...
Di Plinio, Francesco +2 more
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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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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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Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
, 2018 We focus on the long time behavior of complex networks of reaction-diffusion systems. We prove the existence of the global attractor and the $L^{∞}$-bound for networks of $n$ reaction-diffusion systems that belong to a class that generalizes the FitzHugh-
B. Ambrosio, M. Aziz-Alaoui, V. Phan
semanticscholar +1 more source
The global attractor of the 2D Boussinesq equations with fractional Laplacian in Subcritical case [PDF]
, 2015 We prove global well-posedness of strong solutions and existence of the global attractor for the 2D Boussinesq system in a periodic channel with fractional Laplacian in subcritical case.
Aimin Huang, Wenru Huo
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