Results 291 to 300 of about 1,344,372 (340)
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, 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
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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
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Global and exponential attractor of the repulsive Keller–Segel model with logarithmic sensitivity
, 2020We consider a Keller–Segel model that describes the cellular chemotactic movement away from repulsive chemical subject to logarithmic sensitivity function over a confined region in ${{\mathbb{R}}^n},\,n \le 2$ .
Lin Chen, Fanze Kong, Qi Wang
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THE EXPONENTIAL ATTRACTOR FOR THE EQUATIONS OF THERMOHYDRAULICS
Acta Mathematica Scientia, 2005Abstract In this paper, the existence of the exponential attractor for the thermohydraulics equations is proved, and the estimates of its fractal dimensions are also given.
Xianyun Du, Boling Guo
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Pullback exponential attractors with admissible exponential growth in the past [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 Abstract For an evolution process we prove the existence of a pullback exponential attractor, a positively invariant family of compact subsets which have a uniformly bounded fractal dimension and pullback attract all bounded subsets at an exponential rate.
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Exponential Attractors in Generalized Relativistic Billiards
Communications in Mathematical Physics, 2004A generalized relativistic billiard is the following dynamical system: a particle moves under the influence of some force fields in the interior of a domain with pseudo-Riemannian metric, and as the particle hits the boundary of the domain, its velocity is transformed as if the particle underwent an elastic collision with a moving wall, considered in ...
L.D. Pustyl’nikov, M.V. Deryabin
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Exponential attractor for the wave equation with structural damping and supercritical exponent
, 2016The paper studies the existence of an exponential attractor for the wave equation with structural damping and supercritical nonlinearity utt − Δu + γ(−Δ)αu t + f(u) = g(x).
Zhijian Yang, Zhiming Liu, Pan-pan Niu
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Exponential attractors for semiconductor equations
2006This paper studies the asymptotic behaviour of solutions to the classical semiconductor equations due to Shockley. We will construct not only global solutions but also exponential attractors for the dynamical system determined from the Cauchy problem.
FAVINI, ANGELO, A. . LORENZI, A. YAGI
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Exponential attractors for semigroups in Banach spaces
Nonlinear Analysis: Theory, Methods & Applications, 2012Abstract Let { S ( t ) } t ⩾ 0 be a semigroup on a Banach space X , and A be the global attractor for { S ( t ) } t ⩾ 0 . We assume that there exists a T ∗ such that S ≜ S ( T ∗ ) is of class C 1 on a bounded absorbing set B ϵ 0
Chengkui Zhong, Yansheng Zhong
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Exponential attractors for extensible beam equations
Nonlinearity, 1993The authors establish a global fast dynamics for a class of equations that include the beam equations as studied by Ball (1973) and von Karman equations for a thin plate. They introduce various energy functionals and show that they decay exponentially.
Albert Milani, Alp Eden, Alp Eden
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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2014
In this paper, we study the existence of a uniform exponential attractor for second order lattice system with quasi-periodic external forces in weighted space of infinite sequences. We first prove that the system possesses a uniform attractor.
Shengfan Zhou, Min Zhao
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In this paper, we study the existence of a uniform exponential attractor for second order lattice system with quasi-periodic external forces in weighted space of infinite sequences. We first prove that the system possesses a uniform attractor.
Shengfan Zhou, Min Zhao
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