Results 1 to 10 of about 9,762 (294)
Regularity of Global Attractor for the Reaction-Diffusion Equation [PDF]
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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Global Attractor for a Chemotaxis Model with Reaction Term [PDF]
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 modified Swift–Hohenberg equation [PDF]
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polat, Mustafa
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Global Attractor of Atmospheric Circulation Equations with Humidity Effect [PDF]
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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Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions [PDF]
Complexity, 2021 In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by
Guangwang Su, Funing Lin
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Global Attractor for the Generalized Dissipative KDV Equation with Nonlinearity [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We discuss global attractor for the generalized dissipative KDV equation with nonlinearity under the initial condition u(x,0)=u0(x). We prove existence of a global attractor in space H2(Ω), by using decomposition method with cut-off function and ...
Zai-yun Zhang, Zhen-hai Liu
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Global Attractor for Sectorial Evolutionary Equation [PDF]
Journal of Differential Equations, 1996 Let \(A\) be a sectorial operator with compact resolvent in an appropriate Banach space and consider the evolution equation \(\dot u + Au = F(u)\), \(t > 0\), \(u(0) = u_0\). The authors show that this problem generates a dissipative semigroup whenever an appropriate introductory estimate for solutions is known.
Cholewa, Jan W., Dlotko, Tomasz
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Global attractor for a semilinear parabolic equation involving Grushin operator [PDF]
Electronic Journal of Differential Equations, 2008 The aim of this paper is to prove the existence of a global attractor for a semilinear degenerate parabolic equation involving the Grushin operator.
Phan Quoc Hung +3 more
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Global attractor for an equation modelling a thermostat [PDF]
Electronic Journal of Differential Equations, 2003 In this work we show that the system considered by Guidotti and Merino in [2] as a model for a thermostat has a global attractor and, assuming that the parameter is small enough, the origin is globally asymptotically stable.
Rita de Cassia D. S. Broche +2 more
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The Construction of Global Attractors [PDF]
Proceedings of the American Mathematical Society, 1990 The purpose of this note is to show that every inverse limit space of an interval mapping can be realized as a global attractor for a homeomorphism of the plane.
Barge, Marcy, Martin, Joe
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