Results 261 to 270 of about 4,496,925 (290)

Multidimensional viscoelasticity equations with nonlinear damping and source terms

Nonlinear Analysis: Theory, Methods & Applications, 2004
The authors investigate the initial-boundary value problem \(u_{tt}-\Delta u_t-\sum_{i=1}^N\frac \partial{\partial x_i}\sigma_i(u_{x_i})+f(u_t)=g(u)\), \(x\in \Omega\), \(t>0,\) \(u(x,0)=u_0(x)\), \(u_t(x,0)=u_1(x)\), \(x\in \Omega\); \(u(x,t)=0\), \(x\in \partial\Omega\), \(t\geq 0,\) where \(\Omega\subset \mathbb R^N\) is a bounded domain.
Liu, Yacheng, Zhao, Junsheng
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Multiple Homoclinics for Nonperiodic Damped Systems with Superlinear Terms

Bulletin of the Malaysian Mathematical Sciences Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The continuity equation with an integrable damping term

2017
In this chapter we consider the Cauchy problem for the continuity equation with a linear source term, namely $$ \left\{ {\begin{array}{*{20}{c}} {{{\partial }_{t}}{{u}_{t}}(x)+\nabla \cdot ({{b}_{t}}(x){{u}_{t}}(x))={{c}_{t}}(x){{u}_{t}}(x)} \hfill \\ {{{u}_{0}}(x)=\bar{u}(x)} \hfill \\ \end{array}} \right.
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An effect of decay rates: Supercritical damping and a viscoelastic term

Evolution Equations and Control Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Fang, Li, Xiaolei
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Investigation of Viscous Damping Terms for a Timoshenko Beam

2018 AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2018
Data cabling has become a significant portion of a spacecraft's dry mass and can no longer be neglected in structural dynamics models. At higher-frequency modes, the cable dynamics can interact with the bus structure to which they are attached, affecting the over- all dynamics of the spacecraft. Experimental testing has shown an increased damping ratio
McPherson, Brandi N., Lesieutre, George A., Kauffman, Jeffrey L.   +2 more
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Analyses of oscillators with non-polynomial damping terms

Journal of Sound and Vibration, 2008
In this paper the properties of the oscillatory motion of the system with non-polynomial damping is investigated. The two limits for damping are the dry friction and linear viscous damping. The mathematical model of the system is a strong nonlinear differential equation with fraction order velocity terms.
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The uniqueness of the solution to the diffusion equation with a damping term

Applicable Analysis, 2018
ABSTRACTConsider a non-linear diffusion equation with a damping term. If the diffusion coefficient is positive, then the solutions are not unique generally.
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Comparison of Wake Oscillator Models with Different Damping Terms

2021 5th International Conference on Vision, Image and Signal Processing (ICVISP), 2021
Y. L. Feng, Daoyi Chen, Sun-Wei Li, Qing Xiao, Wei Li   +4 more
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The radiation damping terms in Synge's equations of motion

General Relativity and Gravitation, 1981
Synge's [4] approximation method is developed to include the lowest-order radiation terms in the equations of motion. The method applies to systems which have been stationary at some finite time in the past, this restriction being necessary in order to ensure convergence of the integrals occurring in the higher orders of approximation.
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Continuous Contact Force Model With an Arbitrary Damping Term Exponent: Model and Discussion

Mechanical Systems and Signal Processing, 2021
Can Huang, Guangping He, Jiejian Di
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