Results 11 to 20 of about 4,496,925 (290)

On the Non-Newtonian Fluid Equation with a Source Term and a Damping Term [PDF]

open access: yesJournal of Function Spaces, 2018
A kind of non-Newtonian fluid equation with a damping term and a source term is considered. After giving a result of the existence, if the diffusion coefficient is degenerate on the boundary, the local stability of the weak solutions is established ...
Huashui Zhan, Yongping Li
doaj   +4 more sources

Results for Twin Singular Nonlinear Problems with Damping Term [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
By using the functional type cone expansion and compression fixed-point theorem in cones, some new and general results on the existence of positive solution for twin singular boundary value problems with damping term are obtained.
Youwei Zhang
doaj   +5 more sources

Logarithmic Stabilization of an Acoustic System with a Damping Term of Brinkman Type

open access: yesSIAM Journal on Control and Optimization, 2023
Abstract. We study the problem of stabilization for the acoustic system with a spatially distributed damping. Without imposing any hypotheses on the structural properties of the damping term, we identify logarithmic decay of solutions with growing time. Logarithmic decay rate is shown through a new Carleman estimate which allows us to
Ammari, Kaïs   +2 more
openaire   +7 more sources

A damping term for higher-order hyperbolic equations [PDF]

open access: yesAnnali di Matematica Pura ed Applicata (1923 -), 2015
Let \(Lu=0\) be a \(m\)-th-order homogeneous equation with \(L\) a strictly hyperbolic operator. This means, its symbol \(P(p,iq)\) satisfies the strict hyperbolicity condition. The goal of this paper is to prove that the operator with the symbol \(cP'(p,iq)\), \(c\) a real positive constant, is a damping term for \(L\). Actually one proves that if \(M\
Marcello D’Abbicco, Enrico Jannelli
openaire   +5 more sources

The Damping Term, from First Principles

open access: yes, 2017
In the previous chapters we described the basic principles of density functional theory, gave examples of how accurate it is to describe static magnetic properties in general, and derived from this basis the master equation for atomistic spin-dynamics; the SLL (or SLLG) equation. However, one term was not described in these chapters, namely the damping
Olle Eriksson   +3 more
openaire   +2 more sources

A short remark on the nonlinear oscillator with a damping term [PDF]

open access: yesJournal of Low Frequency Noise, Vibration and Active Control, 2021
A nonlinear oscillator with a damping term can model many nonlinear vibration problems. This short remark insights into its physical understanding by the variational principle, which is established by the semi-inverse method.
Shaowen Yao, Zhibo Cheng
doaj   +2 more sources

On the inclusion of damping terms in the hyperbolic MBO algorithm [PDF]

open access: yesAdvanced Studies in Pure Mathematics, 2020
The hyperbolic MBO is a threshold dynamic algorithm which approximates interfacial motion by hyperbolic mean curvature flow. We introduce a generalization of this algorithm for imparting damping terms onto the equation of motion. We also construct corresponding numerical methods, and perform numerical tests.
Ginder, Elliott, Katayama, Ayumu
openaire   +4 more sources

STOCHASTIC WAVE EQUATIONS WITH NONLINEAR DAMPING AND SOURCE TERMS [PDF]

open access: yesInfinite Dimensional Analysis, Quantum Probability and Related Topics, 2013
In this paper, we discuss an initial boundary value problem for the stochastic wave equation involving the nonlinear damping term |ut|q–2utand a source term of the type|u|p–2u. We firstly establish the local existence and uniqueness of solution by the Galerkin approximation method and show that the solution is global for q ≥ p.
Gao, Hongjun, Liang, Fei, Guo, Boling
openaire   +3 more sources

Damping System Designs using Nonlinear Frequency Analysis Approach [PDF]

open access: yes, 2012
The main purpose of this thesis focuses on the investigation of the frequency domain analysis and design approaches for nonlinear damping systems. With the development of modern mechanical and civil engineering structures, the vibration control has ...
Guo, Pengfei
core   +6 more sources

Long‐Term Damped Dynamics of the Extensible Suspension Bridge [PDF]

open access: yesInternational Journal of Differential Equations, 2010
This work is focused on the doubly nonlinear equation , whose solutions represent the bending motion of an extensible, elastic bridge suspended by continuously distributed cables which are flexible and elastic with stiffness k2. When the ends are pinned, long‐term dynamics is scrutinized for arbitrary values of axial load p and stiffness k2.
Bochicchio I.   +2 more
openaire   +7 more sources

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