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Exponential Attractors for Lattice Dynamical Systems in Weighted Spaces
Acta Applicandae Mathematicae, 2011This paper considers the asymptotic behaviour of infinite-dimensional lattice dynamical systems of reaction diffusion type in weighted lattice spaces. In particular, for the discrete reaction diffusion system \[ \dot{u}_{i}=\nu \, (u_{i-1}-2 u_{i}+u_{i+1}) + f(u_{i})+g_{i}, \,\,\, i \in {\mathbb Z} \] and the partly dissipative system \[ \dot{u}_{i ...
Li, Xiaojun, Wei, Kaijin, Zhang, Haiyun
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Exponential attractors for a singularly perturbed CahnāHilliard system
Mathematische Nachrichten, 2004AbstractOur aim in this article is to give a construction of exponential attractors that are continuous under perturbations of the underlying semigroup. We note that the continuity is obtained without time shifts as it was the case in previous studies.
Efendiev, M, Miranville, A, Zelik, S
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SIAM Journal on Mathematical Analysis, 2003
Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
Hoff, David, Ziane, Mohammed
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Summary: We prove that the uniform attractor for the Navier-Stokes equations of compressible flow with quasi-periodic external forces has finite fractal dimension. As a byproduct of our analysis, we also obtain the existence of finite-dimensional exponential attractors for the Navier-Stokes system.
Hoff, David, Ziane, Mohammed
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A uniformly exponential random forward attractor which is not a pullback attractor
Archiv der Mathematik, 2002The author constructs an example of a random forward attractor for a random dynamical system (RDS) that is not a pullback attractor which is one of 3 possible notions of an attractor one can naturally define for RDS (and which all coincide for deterministic dynamical systems).
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma
Ca-A Cancer Journal for Clinicians, 2020Aaron J Grossberg +2 more
exaly
Oral complications of cancer and cancer therapy
Ca-A Cancer Journal for Clinicians, 2012Joel B Epstein +2 more
exaly

