Results 31 to 40 of about 8,017 (310)
Global attractors for gradient flows in metric spaces
Journal de Mathématiques Pures et Appliquées, 2010 We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and generalized solutions. While the former concept coincides with the notion of curves of maximal slope, we introduce the latter to include limits of time-incremental ...
Riccarda Rossi +2 more
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Existence and attractors of solutions for nonlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2001 We prove existence and asymptotic behaviour results for weak solutions of a mixed problem (S). We also obtain the existence of the global attractor and the regularity for this attractor in $\left[H^{2}(\Omega )\right] ^{2}$ and we derive estimates of its
Hamid El Ouardi, Abderrahmane El Hachimi
doaj +1 more source
Mathematical Biosciences and Engineering, 2020 In this paper we introduce a method of global exponential attractor in the reaction-diffusion epidemic model in spatial heterogeneous environment to study the spread trend and long-term dynamic behavior of the COVID-19 epidemic.
Cheng-Cheng Zhu, Jiang Zhu
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Finite-dimensional global attractors in Banach spaces
Journal of Differential Equations, 2010 We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball under a linear map by a collection of balls of smaller radius. As an application of the abstract theory we show that the global attractors of a very broad class of parabolic ...
Carvalho, Alexandre Nolasco +2 more
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Population Ecology, EarlyView.This study examines the demographic dynamics of two seabird populations on Tromelin Island, 15 years after the eradication of brown rats. The results indicate that these populations are in good health and are expected to continue growing until breeding sites are saturated in about a century.
Merlène Saunier +6 more
wiley +1 more source
Making tau amyloid models in vitro: a crucial and underestimated challenge
FEBS Letters, EarlyView.This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley +1 more source
Attractors for a class of doubly nonlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2006 In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2 ...
Hamid El Ouardi, Abderrahmane El Hachimi
doaj +1 more source
Global attractors for semigroup actions
Journal of Mathematical Analysis and Applications, 2013 Abstract In this paper the notions of global attractor and global uniform attractor are extended to the setting of general semigroup actions. We study the necessary and sufficient conditions for the existence of the global attractor for semigroups acting on noncompact metric spaces.
Stephanie A. Raminelli, Josiney A. Souza
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Social context prevents heat hormetic effects against mutagens during fish development
FEBS Letters, EarlyView.This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere +5 more
wiley +1 more source
On finite-dimensional global attractors of homeomorphisms [PDF]
Bulletin of the London Mathematical Society, 2016 Let $E$ be a linear space and suppose that $A$ is the global attractor of either (i) a homeomorphism $F:E\rightarrow E$ or (ii) a semigroup $S(\cdot)$ on $E$ that is injective on $A$. In both cases $A$ has trivial shape, and the dynamics on $A$ can be described by a homeomorphism $F:A\rightarrow A$ (in the second case we set $F=S(t)$ for some $t>0$).
James C. Robinson +1 more
openaire +4 more sources