Results 291 to 300 of about 1,323,147 (330)

Exponential attractor for a chemotaxis-growth system of equations

Nonlinear Analysis: Theory, Methods & Applications, 2002
This paper is concerned with an initial-boundary value problem for a quasilinear parabolic system of equations describing the density of a biological population and the concentration of a chemical substance. The existence of an exponential attractor for the system is investigated.
Koichi Osaki   +3 more
openaire   +3 more sources

Exponential Attractor for a Nonlinear Boussinesq Equation

Acta Mathematicae Applicatae Sinica, English Series, 2006
This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space $$ H^{2}_{0} {\left( {0,1} \right)} \times L^{2} {\left( {0,1}
Ahmed Y. Abdallah
openaire   +3 more sources

Exponential Attractor for the Viscoelastic Wave Model with Time-Dependent Memory Kernels

Journal of Dynamics and Differential Equations, 2021
The paper is concerned with the exponential attractors for the viscoelastic wave model in $$\varOmega \subset \mathbb R^3$$ Ω ⊂ R 3 : $$\begin{aligned} u_{tt}-h_t(0)\varDelta u-\int _0^\infty \partial _sh_t(s)\varDelta u(t-s)\mathrm ds+f(u)=g, \end ...
Yanan Li, Zhijian Yang
semanticscholar   +1 more source

Random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise

, 2021
We prove the existence of a random exponential attractor for a non-autonomous Zakharov lattice system with multiplicative white noise. We first transfer the stochastic lattice system into an equivalent random lattice system whose solutions generate a ...
Lin Tang, Shengfan Zhou, Zongfei Han
semanticscholar   +1 more source

THE EXPONENTIAL ATTRACTOR FOR THE EQUATIONS OF THERMOHYDRAULICS

Acta Mathematica Scientia, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianyun Du, Boling Guo
openaire   +3 more sources

Exponential Attractors in Banach Spaces

Journal of Dynamics and Differential Equations, 2001
Let \(E\) be a Banach space, \(U\subset E\) an open set and \(S:U\rightarrow E\) a \(C^1\)-map. The authors consider the discrete dynamical system (DS) \(\{S^n\}_{n=1}^{\infty}\) generated by \(S\), extending the theory of exponential attractors from such DS in Hilbert space [\textit{A. Eden, C. Foias, B. Nicolaenko} and \textit{R.
Basil Nicolaenko, L. Dung
openaire   +2 more sources

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