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On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer
2017The problem of the influence of the structure of forces on the stability of the relative equilibrium of a controlled satellite with a gravitational stabilizer on the circular orbit is studied. In the space of entered parameters, the regions with different degrees of instability by Poincare are found.
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ON EXPONENTIAL ASYMPTOTIC STABILITY IN LINEAR VISCOELASTICITY
Mathematical Models and Methods in Applied Sciences, 2006This paper establishes results concerning the exponential decay of strong solutions of a linear hyperbolic integrodifferential equation in Hilbert space. Rather than the more commonly used assumptions that the relaxation function is non-negative, decreasing and convex, dissipation is modelled by requiring that the dynamic viscosity be a positive ...
J. Appleby +3 more
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Stability and Asymptotics in Electrohydrodynamics
2023This dissertation focuses on the relative energy analysis of two-species fluids composed of charged particles. It presents a formal derivation of the relative energy identity for both the bipolar Euler-Maxwell system and the unmagnetized case of the bipolar Euler-Poisson system.
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ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS
Reviews in Mathematical Physics, 2003We prove in dimension n = 3 an asymptotic stability result for ground states of the Nonlinear Schrödinger Equation which contain one internal mode.
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Invariance and asymptotic stability
Journal of Applied Mathematics and Mechanics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stability and Asymptotic Behavior
1998We resume the problems treated in §12. In contrast to the case investigated there, we now consider solutions defined on infinite intervals. In this setting, continuous dependence on initial conditions and on the right side of the differential equation is a significantly more complicated matter than in §12, where general results were obtained under ...
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