Results 61 to 70 of about 100,249 (259)
Nonlinear metastability for a parabolic system of reaction-diffusion equations [PDF]
, 2016 We consider a system of reaction-diffusion equations in a bounded interval of the real line, with emphasis on the metastable dynamics, whereby the time-dependent solution approaches its steady state in an asymptotically exponentially long time interval ...
Strani, Marta
core
Advanced Materials Interfaces, EarlyView.Although electrochemical scanning tunneling microscopy provides atomic‐scale access to electrified interfaces, quantitative in situ and operando investigations suffer from drift‐induced distortions. This work introduces the Lattice Fourier Analyzer (LFA), which employs substrate‐anchored affine drift correction in reciprocal space to recover precise ...
Rafał Lewandków +4 more
wiley +1 more source
Grip and Grasp: Lizard Claw Inspired Robotic Manipulators
Advanced Robotics Research, EarlyView.Our study identifies the most effective lizard claw shape for use as an end effector in a bioinspired robotic manipulator. By examining key geometric features and combining them into comparative indices, the Crotaphytus collaris claw is found to be the best fit.
Hyeon Lee +4 more
wiley +1 more source
Uniform boundedness of solutions for a predator-prey system with diffusion and chemotaxis
Comptes Rendus. Mathématique, 2020 In this Note we study a nonlinear system of reaction-diffusion differential equations consisting of an ordinary differential equation coupled to a fully parabolic chemotaxis system. This system constitutes a mathematical model for the evolution of a prey-
Dáger, René +2 more
doaj +1 more source
Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system
, 2012 We consider a quasilinear PDE system which models nonlinear vibrations of a thermoelastic plate defined on a bounded domain in R^n. Well-posedness of solutions reconstructing maximal parabolic regularity in nonlinear thermoelastic plates is established ...
Lasiecka, Irena, Wilke, Mathias
core +1 more source
Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil
International Journal of Differential Equations, 2011 We study a nonlinear parabolic system governing the biological dynamic in the soil. We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with ...
Côme Goudjo, Babacar Lèye, Mamadou Sy
doaj +1 more source
Doubly Nonlinear Degenerate Parabolic Systems with Coupled Nonlinear Boundary Conditions
Journal of Differential Equations, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Advanced Nonlinear StudiesWe study the local classical solvability of the Cauchy problem to the equations of one-dimensional nonlinear thermoelasticity. The governing model is a coupled system of a nonlinear hyperbolic equation for the displacement and a parabolic equation for ...
Hu Yanbo, Sugiyama Yuusuke
doaj +1 more source