Results 91 to 100 of about 2,916,443 (230)
Harnack estimates for nonlinear backward heat equations in geometric flows
Journal of Functional Analysis, 2014 Let $M$ be a closed Riemannian manifold with a family of Riemannian metrics $g_{ij}(t)$ evolving by a geometric flow $\partial_{t}g_{ij} = -2{S}_{ij}$, where $S_{ij}(t)$ is a family of smooth symmetric two-tensors. We derive several differential Harnack estimates for positive solutions to the nonlinear backward heat-type equation \begin{eqnarray ...
Guo, Hongxin, Ishida, Masashi
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Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
Advanced Functional Materials, EarlyView.This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source
Modified quasi-reversibility method for nonautonomous semilinear problems
Electronic Journal of Differential Equations, 2013 We prove regularization for the ill-posed, semilinear evolution problem $du/dt=A(t, D)u(t)+h(t, u(t))$, $0 leq s leq t < T$, with initial condition $u(s)=chi$ in a Hilbert space where D is a positive, self-adjoint operator in the space.
Matthew A. Fury
doaj
Electrospun Wood‐Derived Biopolymers as Electrodes in Electrochemical Energy Storage Technologies
Advanced Functional Materials, EarlyView.Electrospinning transforms wood‐derived cellulose and lignin into architecturally defined, binder‐free carbon electrodes with tuneable porosity and functionality. This review shows how fibre design enables decoupled charge and mass transport, enhancing performance across battery systems, while identifying key challenges in spinnability, scalability ...
Michael W. Thielke +3 more
wiley +1 more source
Logarithmic regularization of non-autonomous non-linear ill-posed problems in Hilbert spaces
Electronic Journal of Differential Equations, 2017 The regularization of non-autonomous non-linear ill-posed problems is established using a logarithmic approximation originally proposed by Boussetila and Rebbani, and later modified by Tuan and Trong.
Matthew Fury
doaj
Implantable Ionic Memristors Based on Natural Polymer Heterojunctions
Advanced Functional Materials, EarlyView.We report an implantable natural polymer‐based ionic memristor composed of hyaluronic acid, chitosan, and PDMS. The device achieved 98.94% accuracy in MNIST classification while reducing training time by 36.8% compared with a conventional artificial neural network (ANN).
Dong‐yup Lee +6 more
wiley +1 more source
Advanced Functional Materials, EarlyView.A scalable, solution‐processed WSe2/ZrO2‐x van der Waals heterostructure realizes a light‐induced field‐tunneling synapse (LIFTS) that activates exclusively under bright illumination, emulating the photopic adaptation of the human retina at the device level.
Kijeong Nam +10 more
wiley +1 more source
Engineering Science and Technology, an International JournalHeat exchange between porous and non-porous materials is widely studied in engineering and geothermal applications because of their demonstrated capability to improve thermal performance.
Marei S. Alqarni, Usman
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A formula for backward and control problems of the heat equation
, 2020 27 pages.
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Advanced Functional Materials, EarlyView.The physical realization of artificial neurons is a critical challenge for energy‐efficient neuromorphic computing. This review presents a comprehensive analysis of the evolution of artificial neuron implementations from conventional CMOS to emerging post‐CMOS technologies.
Kannan Udaya Mohanan +4 more
wiley +1 more source