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Global attractors of the 3D micropolar equations with damping term
Mathematical Foundations of Computing, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaojie Yang, Hui Liu, Chengfeng Sun
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On solutions of quasilinear wave equations with nonlinear damping terms [PDF]
Czechoslovak Mathematical Journal, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Jong Yeoul, Bae, Jeong Ja
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On the interaction of exponential non-viscous damping with symmetric nonlinearities [PDF]
, 2008 This paper studies the interaction between non-viscous damping and nonlinearities for nonlinear oscillators with reflection symmetry. The non-viscous damping function is an exponential damping model which adds a decaying memory property to the damping ...
Wagg, DJ +6 more
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Nonlinear Wave Equations With Degenerate Damping and Source Terms [PDF]
Transactions of the American Mathematical Society, 2005 In this article we focus on the global well-posedness of the differential equation u t
Barbu, Viorel +2 more
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Oscillation of third order differential equation with damping term [PDF]
Czechoslovak Mathematical Journal, 2015 The authors study the third-order nonlinear differential equation \[ x'''(t)+q(t)x'(t)+r(t)| x(t)|^\lambda\operatorname{sgn}x(t)=0, \] where \(\lambda>0\), \(q\in C^2(\mathbb{R}_+)\) and \(r\in C^2(\mathbb{R}_+)\) are positive functions. The authors derive sufficient conditions which guarantee several special asymptotic properties of solutions, such as
Bartušek, Miroslav, Došlá, Zuzana
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Effects of Damping and Reynolds Number on Vortex-Induced Vibrations [PDF]
, 2007 Vortex-induced vibrations have been studied experimentally with emphasis on damping and Reynolds number effects. Our system was an elastically-mounted rigid circular cylinder, free to oscillate only transverse to the flow direction, with very low ...
Klamo, Joseph Thomas
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Auto-Tuning PID Controllers in Terms of Relative Damping [PDF]
IFAC Proceedings Volumes, 2000 Abstract In this paper a new auto-tuning method of PID controller is proposed. It combines: modelling of the closed-loop system, modelling of the process, and tuning formulas in terms of the relative damping of the transient response to setpoint changes.
González López, Antonio +2 more
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Decay property of solutions for damped wave equations with space–time dependent damping term
Journal of Mathematical Analysis and Applications, 2011 There is discussed asymptotic behavior of a solution to the Cauchy problem for the equation \[ u_{tt}-\Delta u+b_{0}(1+| x| ^{2})^{-\alpha /2}(1+t)^{-\beta}u_{t}+| u| ^{\rho -1}u=0,\text{ where } t>0,\, x\in \mathbb {R}^{N},\, b_{0}>0,\, \alpha ,\beta \geq 0, \, \alpha +\beta \in [0,1) \] and the initial data are in a weighted energy spaces.
Lin, Jiayun +2 more
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Low frequency damping of metal panels in ambient Air [PDF]
, 2008 Mathematical models of structural dynamics are widely used and applied in many branches of science and engineering and it has been argued that many of the shortfalls with these models are due to the fact that the physics of joint dynamics are not ...
Paul Cunningham (1251771) +8 more
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On solutions of nondegenerate wave equations with nonlinear damping terms
Differential and Integral Equations, 2001 Let $\Omega $ be a bounded domain in $\Bbb R^N$ with smooth boundary $\partial \Omega$. In this paper, we consider the existence and energy decay of solutions of the following problem: \begin{align} & u_{tt}(t,x)-(a+b (\|\nabla u(t,x)\|_2^2+\|\nabla v(t,x)\|_2^2)^\gamma) \Delta u(t,x)+\beta \Delta^2 u(t,x) \nonumber \\ & \quad+\delta|u_t(t,x)|^{\rho ...
Park, Jong Yeoul, Bae, Jeong Ja
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