Results 21 to 30 of about 2,975 (258)
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
doaj +1 more source
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
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
doaj +1 more source
FEBS Open Bio, EarlyView.CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point +7 more
wiley +1 more source
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
doaj +1 more source
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
doaj +1 more source
Single‐molecule DNA flow‐stretch assays for high‐throughput DNA–protein interaction studies
FEBS Open Bio, EarlyView.We describe an optimised single‐molecule DNA flow‐stretch assay that visualises DNA–protein interactions in real time. Linear DNA fragments are tethered to a surface and stretched by buffer flow for fluorescence imaging. Using λ and φX174 DNA, this protocol enhances reproducibility and accessibility, providing a versatile approach for studying diverse ...
Ayush Kumar Ganguli +8 more
wiley +1 more source
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
doaj +1 more source
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
wiley +1 more source
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
doaj +1 more source