Results 1 to 10 of about 1,391,268 (193)

Stability of Uniform Shear Flow [PDF]

Physical Review E, 1997
The stability of idealized shear flow at long wavelengths is studied in detail. A hydrodynamic analysis at the level of the Navier-Stokes equation for small shear rates is given to identify the origin and universality of an instability at any finite ...
A. Santos, A. W. Lees, Andrés Santos, C. Cercignani, D. J. Evans, G. A. Bird, J. F. Lutsko, J. F. Lutsko, J. F. Lutsko, J. F. Lutsko, J. G. Ordóñez, J. J. Erpenbeck, J. M. Montanero, J. W. Dufty, J. W. Dufty, J. W. Dufty, J. W. Dufty, James W. Dufty, José M. Montanero, M. Lee, M. Lee, Mirim Lee, T. R. Kirkpatrick, W. G. Hoover   +23 more
core   +4 more sources

Integral Characterizations for Uniform Stability with Growth Rates in Banach Spaces

Axioms, 2021
The aim of this paper is to present some integral characterizations for the concept of uniform stability with growth rates in Banach spaces. In this sense, we prove necessary and sufficient conditions (of Barbashin and Datko type) for an evolution ...
Rovana Boruga (Toma), Mihail Megan, Daniela Maria-Magdalena Toth   +2 more
doaj   +3 more sources

Uniform Asymptotic Stability of Solutions of Fractional Functional Differential Equations [PDF]

Abstract and Applied Analysis, 2013
Some global existence and uniform asymptotic stability results for fractional functional differential equations are proved.
Yajing Li, Yejuan Wang
doaj   +4 more sources

Uniform Stability of Nonlinear Difference Systems

Journal of Mathematical Analysis and Applications, 1998
The authors present sufficient conditions for the uniform stability and uniformly asymptotic stability of the zero solution of the difference equation \[ x(n+ 1)- \lambda x(n)+ f(n,x_n)= 0,\quad n\in\mathbb{N},\tag{1} \] where \(\lambda\in[0,1]\) and \(f\) is a functional depending on \(x_n\) defined by \(x_n(m):= x(n+ m)\) for \(-k\leq m\leq 0\), \(k ...
Zhan Zhou
exaly   +2 more sources

Qualitative analysis of a mechanical system of coupled nonlinear oscillators

Electronic Journal of Qualitative Theory of Differential Equations, 2023
In this paper we investigate nonlinear systems of second order ODEs describing the dynamics of two coupled nonlinear oscillators of a mechanical system. We obtain, under certain assumptions, some stability results for the null solution.
Gheorghe Moroșanu, Cristian Vladimirescu   +1 more
doaj   +1 more source

Generalized Multiscale Finite Element Method and Balanced Truncation for Parameter-Dependent Parabolic Problems

Mathematics, 2023
We propose a generalized multiscale finite element method combined with a balanced truncation to solve a parameter-dependent parabolic problem. As an updated version of the standard multiscale method, the generalized multiscale method contains the ...
Shan Jiang, Yue Cheng, Yao Cheng, Yunqing Huang   +3 more
doaj   +1 more source

New Results Achieved for Fractional Differential Equations with Riemann–Liouville Derivatives of Nonlinear Variable Order

Axioms, 2023
This paper proposes new existence and uniqueness results for an initial value problem (IVP) of fractional differential equations of nonlinear variable order. Riemann–Liouville-type fractional derivatives are considered in the problem. The new fundamental
Hallouz Abdelhamid, Gani Stamov, Mohammed Said Souid, Ivanka Stamova   +3 more
doaj   +1 more source

On Variable-Order Fractional Discrete Neural Networks: Existence, Uniqueness and Stability

Fractal and Fractional, 2023
Given the recent advances regarding the studies of discrete fractional calculus, and the fact that the dynamics of discrete-time neural networks in fractional variable-order cases have not been sufficiently documented, herein, we consider a novel class ...
Othman Abdullah Almatroud, Amel Hioual, Adel Ouannas, Mohammed Mossa Sawalha, Saleh Alshammari, Mohammad Alshammari   +5 more
doaj   +1 more source

Uniform K-stability of polarized spherical varieties [PDF]

Épijournal de Géométrie Algébrique, 2023
We express notions of K-stability of polarized spherical varieties in terms of combinatorial data, vastly generalizing the case of toric varieties.
Thibaut Delcroix
doaj   +1 more source

Qualitative Analyses of Integro-Fractional Differential Equations with Caputo Derivatives and Retardations via the Lyapunov–Razumikhin Method

Axioms, 2021
The purpose of this paper is to investigate some qualitative properties of solutions of nonlinear fractional retarded Volterra integro-differential equations (FrRIDEs) with Caputo fractional derivatives.
Osman Tunç, Özkan Atan, Cemil Tunç, Jen-Chih Yao   +3 more
doaj   +1 more source