Results 21 to 30 of about 2,999 (259)
Mathematical Modelling and Analysis, 2016 In this paper, we consider a non-autonomous generalized Cahn-Hilliard equation with biological applications. It is shown that a pullback attractor of the equation exists when the external force has exponential growth.
Ning Duan
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Abstract and Applied Analysis, 2013 This paper proves the existence of the pullback exponential attractor for the process associated to the nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices.
Chunqiu Li, Min Zhao, Caidi Zhao
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GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM [PDF]
Mathematical Models and Methods in Applied Sciences, 2009 The Penrose–Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved. Differently from preceding contributions, here the energy balance equation is both singular at 0 and degenerate at ∞.
openaire +3 more sources
How phagocytic cells kill bacteria: Lessons from a professional killer
FEBS Open Bio, EarlyView.How phagocytic cells ingest and kill bacteria has been studied for more than a century, but many questions remain unanswered. The study of the amoeba Dictyostelium discoideum brings new answers, and new questions. Professional phagocytic cells such as neutrophils and macrophages, as well as free‐living soil amoebae like Dictyostelium discoideum, employ
Otmane Lamrabet, Pierre Cosson
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Exponential Attractor for Lattice System of Nonlinear Boussinesq Equation
Discrete Dynamics in Nature and Society, 2013 We study the lattice dynamical system of a nonlinear Boussinesq equation. We first verify the Lipschitz continuity of the continuous semigroup associated with the system.
Min Zhao, Shengfan Zhou
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Yeast Gcn2 retains activity following humanization of its auto‐phosphorylation region
FEBS Open Bio, EarlyView.Using Saccharomyces cerevisiae as a model to study Gcn2 activation and regulation is limited by the lack of antibodies detecting phosphorylated Gcn2. To overcome this, we engineered Gcn2‐HsC, a yeast Gcn2 variant recognizable by commercial anti‐human phospho‐GCN2 antibodies.
Reuben A. Anderson +2 more
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The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation
Discrete Dynamics in Nature and Society, 2015 This paper studies the following discrete systems of the complex Ginzburg-Landau equation: iu˙m-(α-iε)(2um-um+1-um-1)+iκum+βum2σum=gm, m∈Z. Under some conditions on the parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for ...
Guangyin Du, Zeqi Zhu, Caidi Zhao
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Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
Journal of Mathematics, 2020 In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent ...
Cuncai Liu, Fengjuan Meng, Chang Zhang
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Arthritis Care &Research, EarlyView.Over the past 50 years, the science of pediatric rheumatology has grown exponentially due to an expansion in the understanding of complex rheumatic conditions and a surge in novel targeted therapeutics. Physician‐scientists in the field of pediatric rheumatology have played major roles in these advancements that have improved the care of children ...
Ekemini A. Ogbu +2 more
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Discrete Exponential Memristor-Coupled Multistable Hyperchaotic Attractor
MathematicsDiscrete memristive chaotic maps are promising for secure communications due to their digital compatibility, yet existing designs face limitations, including narrow hyperchaotic ranges and a single type of chaotic attractor.
Qiujie Wu +4 more
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