Results 81 to 90 of about 37,564 (233)
Advanced Nonlinear StudiesThe purpose of this paper is to investigate the principal spectral theory and asymptotic behavior of the spectral bound for cooperative nonlocal dispersal systems, specifically focusing on the case where partial diffusion coefficients are zero, referred ...
Zhang Lei
doaj +1 more source
Nonlocal control of pulse propagation in excitable media
, 2014 We study the effects of nonlocal control of pulse propagation in excitable media. As a generic example for an excitable medium the FitzHugh-Nagumo model with diffusion in the activator variable is considered. Nonlocal coupling in form of an integral term
Bachmair, Clemens A., Schöll, Eckehard
core +1 more source
On the Reaction Mechanism of Nitrate Radical and DMPO in Non‐aqueous Photocatalytic Media
Chemistry – A European Journal, EarlyView.This work identifies 2‐oxo‐5,5‐dimethyl‐1‐pyrroline 1‐oxyl (DMPOX), formed via the selective oxidation of 5,5‐dimethyl‐1‐pyrroline N‐oxide (DMPO) by nitrate radicals (NO3•) in nonaqueous media, as a distinctive EPR fingerprint of NO3•. The DFT‐supported mechanism clarifies its formation pathway and highlights DMPOX detection as a robust tool for ...
Alessandro Gottuso +4 more
wiley +1 more source
Remarks on the fractional Laplacian with Dirichlet boundary conditions and applications
, 2015 We prove nonlinear lower bounds and commutator estimates for the Dirichlet fractional Laplacian in bounded domains. The applications include bounds for linear drift-diffusion equations with nonlocal dissipation and global existence of weak solutions of ...
Constantin, Peter, Ignatova, Mihaela
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Numerical Solutions Of The Nonlocal Problems For The Diffusion Partial Differential Equations
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions.
Reem. M. Kubba
doaj
Minimum and comparison principles for semilinear nonlocal reaction–diffusion equations
Boundary Value ProblemsWe consider second-order linear parabolic partial differential inequalities that include nonlocal zeroth-order quantities. For these, we establish minimum principles that highlight the interplay between the regularity of their coefficients, the growth ...
Nikolaos M. Ladas, John C. Meyer
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Alignment of Rods and Partition of Integers
, 2005 We study dynamical ordering of rods. In this process, rod alignment via pairwise interactions competes with diffusive wiggling. Under strong diffusion, the system is disordered, but at weak diffusion, the system is ordered.
A. E. Andrews +10 more
core +1 more source
Symmetrization in nonlocal diffusion problems
, 2022 We study Talenti's type symmetrization properties for solutions of linear stationary and evolution problems. Our main result establishes the comparison in norm between the solution of a problem and its symmetric version when nonlocal diffusion defined through integrable kernels is replacing the usual local diffusion defined by a second order ...
openaire +2 more sources
Toward Safer and Sustainable Lithium Metal Batteries: Fluorine‐Free Solid Polymer Electrolytes
ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.An analysis to assess the impact of fluorine in polymer electrolyte‐based lithium metal batteries has been conducted. It has been demonstrated that fluorine‐free LiTIM salt delivers a electrochemical performance similar to that of its fluorinated analogue salts, given the complete lithium dissociation in coordination with PEO and the restricted anion ...
David Fraile‐Insagurbe +10 more
wiley +1 more source