Results 51 to 60 of about 480,745 (178)
This research examines the finite-time stability of a specific category of neural networks with fractional order. Using modified Gronwall inequality and estimations of Mittag–Leffler functions, we provide adequate requirements to guarantee the finite ...
ahmed sami, Sameer Qasim Hasan
doaj +1 more source
Drift‐Diffusion Models with Schottky Contacts at Metal–Semiconductor Interfaces
ABSTRACT The paper deals with a drift‐diffusion model for semiconductor devices with Schottky contacts at all metal–semiconductor interfaces. The presented analytical investigations permit Boltzmann as well as Fermi–Dirac statistics for the charge‐carrier densities.
Annegret Glitzky, Matthias Liero
wiley +1 more source
Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality
This paper studies the finite-time stability of neutral fractional time-delay systems. With the generalized Gronwall inequality, sufficient conditions of the finite-time stability are obtained for the particular class of neutral fractional time-delay ...
Pang Denghao, Jiang Wei
doaj +1 more source
Abstract We investigate an initial‐boundary value problem of non‐isothermal nematic liquid crystal flows with temperature‐dependent viscosity in three‐dimensional bounded domains. Based on the time‐weighted energy estimates, we derive the existence of a unique global strong solution under some smallness condition.
Lu Zhang, Xin Zhong
wiley +1 more source
The SIR Model in a Moving Population: Propagation of Infection and Herd Immunity
ABSTRACT In a collection of particles performing independent random walks on Zd$\mathbb {Z}^d$ we study the spread of an infection with SIR dynamics. Susceptible particles become infected when they meet an infected particle. Infected particles heal and are removed at rate ν$\nu$.
Duncan Dauvergne, Allan Sly
wiley +1 more source
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
Competing Concepts of Inequality in the Globalization Debate
Differing value judgments in measuring inequality underlie the conflicting factual claims about how much poor people have shared in the economic gains from globalization. Opponents in the debate differ in the extent
Ravallion, Martin
core +1 more source
Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
wiley +1 more source
ABSTRACT In this paper we study the long‐time stability of the Cauchy one‐leg θ$$ \theta $$‐methods for the two‐dimensional Navier‐Stokes equations. We establish the uniform dissipativity in H1$$ {H}^1 $$, in the sense that the semi‐discrete‐in‐time approximations possess a global attractor for a small enough time step, using the discrete Grönwall ...
Isabel Barrio Sanchez +2 more
wiley +1 more source

