Results 31 to 40 of about 51,414 (229)
On the limit configuration of four species strongly competing systems
, 2019 We analysed some qualitative properties of the limit configuration of the solutions of a reaction-diffusion system of four competing species as the competition rate tends to infinity.
Lanzara, Flavia, Montefusco, Eugenio
core +1 more source
Tutte's invariant approach for Brownian motion reflected in the quadrant [PDF]
, 2016 We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional equation, which is reminiscent from equations arising in the enumeration of (
Franceschi, Sandro, Raschel, Kilian
core +5 more sources
An obstacle problem for Tug-of-War games [PDF]
, 2013 We consider the obstacle problem for the infinity Laplace equation. Given a Lipschitz boundary function and a Lipschitz obstacle we prove the existence and uniqueness of a super infinity-harmonic function constrained to lie above the obstacle which is ...
J. Somersille +3 more
core
On membrane interactions and a three-dimensional analog of Riemann surfaces [PDF]
, 2015 Membranes in M-theory are expected to interact via splitting and joining processes. We study these effects in the pp-wave matrix model, in which they are associated with transitions between states in sectors built on vacua with different numbers of ...
Kovacs, Stefano +2 more
core +3 more sources
Convergent, with rates, methods for normalized infinity Laplace, and related, equations
, 2022 We propose a monotone, and consistent numerical scheme for the approximation of the Dirichlet problem for the normalized Infinity Laplacian, which could be related to the family of so--called two--scale methods. We show that this method is convergent, and prove rates of convergence.
Li, Wenbo, Salgado, Abner J.
openaire +2 more sources
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
Fundamental solution of the problem describing ship motion in waves [PDF]
Opuscula Mathematica, 2006 The problem describing a ship motion in waves comprises the Laplace equation, boundary condition on wetted surface of the ship, condition on the free surface of the sea in the form of a differential equation, the radiation condition, and a condition at ...
Jan Jankowski
doaj
Understanding the Effects of Conductive Polymer Electrode Coating on Recorded Neural Signals
Advanced Healthcare Materials, EarlyView.Conductive polymer coatings are widely explored to improve the quality of signals recorded with chronically implanted neural electrodes, offering enhanced biocompatibility along with reduced electrode impedance. Combining computational modelling and data from PEDOT:PTS coated and PtIr electrodes in rats, we show that improvements in signal quality with
Karthik Sridhar +4 more
wiley +1 more source
Nonlocal Conduction in a Metawire
Advanced Materials, Volume 37, Issue 13, April 2, 2025.A 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Julio Andrés Iglesias Martínez +3 more
wiley +1 more source
Advanced Materials Interfaces, EarlyView.This study demonstrates ultrafast photocatalytic wettability switching in TiO2 thin films by tailoring substrate doping and interface oxides. Enhanced switching rates and hemiwicking effects are achieved through optimized material stacks and nanostructuring.
Rucha A. Deshpande +6 more
wiley +1 more source