Results 61 to 70 of about 600,406 (168)

Vortex motion for the lake equations

, 2020
The lake equations $$\left\{\begin{aligned} \nabla \cdot \big( b \, \mathbf{u}\big) &= 0 & & \text{on}\ \mathbb{R}\times D,\\ \partial_t\mathbf{u} + (\mathbf{u}\cdot \nabla)\mathbf{u} &= -\nabla h & & \text{on}\ \mathbb{R}\times D ,\\ \mathbf{u ...
Dekeyser, Justin, Van Schaftingen, Jean
core   +1 more source

Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation

Discrete Dynamics in Nature and Society, 2014
In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method.
Junhai Luo, Guanjun Li, Heng Liu
doaj   +1 more source

Singular recursive utility

, 2017
We introduce the concept of singular recursive utility. This leads to a kind of singular BSDE which, to the best of our knowledge, has not been studied before.
Dahl, Kristina R., Øksendal, Bernt
core   +1 more source

Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation

, 2012
Discrete-velocity approximations represent a popular way for computing the Boltzmann collision operator. The direct numerical evaluation of such methods involve a prohibitive cost, typically $O(N^{2d+1})$ where $d$ is the dimension of the velocity space.
Mouhot, Clément, Pareschi, Lorenzo, Rey, Thomas   +2 more
core   +5 more sources

Stability of Caputa– Hadmmard  Fractional Differential Nonlinear ControlSystem with Delay Riemann −Katugampola

Wasit Journal for Pure Sciences
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

Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality

Abstract and Applied Analysis, 2014
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

Mean-Field Dynamics: Singular Potentials and Rate of Convergence [PDF]

, 2018
We consider the time evolution of a system of N identical bosons whose interaction potential is rescaled by N −1. We choose the initial wave function to describe a condensate in which all particles are in the same one-particle state.
Knowles, Antti, Pickl, Peter
core  

Analysis of a chemotaxis system modeling ant foraging

, 2015
In this paper we analyze a system of PDEs recently introduced in [P. Amorim, {\it Modeling ant foraging: a {chemotaxis} approach with pheromones and trail formation}], in order to describe the dynamics of ant foraging.
Alonso, Ricardo, Amorim, Paulo, Goudon, Thierry   +2 more
core   +2 more sources

A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques

Alexandria Engineering Journal
This study investigates weakly singular nonlinear functional Volterra integral equations (WSNFVIEs) of Urysohn type involving Riemann–Liouville operator.
Imtiyaz Ahmad Bhat, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Mahmoud Abdel-Aty, Montasir Qasymeh   +4 more
doaj   +1 more source

Sharp Gronwall-Bellman type integral inequalities with delay

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Various attempts have been made to give an upper bound for the solutions of the delayed version of the Gronwall-Bellman integral inequality, but the obtained estimations are not sharp.
István Győri, László Horváth
doaj   +1 more source