On coupled Klein-Gordon-Schrödinger equations with acoustic boundary conditions.
Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
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Ha, Tae Gab, Park, Jong Yeoul (2010)
Boundary Value Problems [electronic only]
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Kozakevicius, Alice, Vera, Octavio (2005)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Ammari, Kais (2002)
Portugaliae Mathematica. Nova Série
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Prasanta Kumar Nandi, Ganesh Chandra Gorain, Samarjit Kar (2014)
Applications of Mathematics
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In this paper we consider the boundary value problem of some nonlinear Kirchhoff-type equation with dissipation. We also estimate the total energy of the system over any time interval with a tolerance level . The amplitude of such vibrations is bounded subject to some restrictions on the uncertain disturbing force . After constructing suitable Lyapunov functional, uniform decay of solutions is established by means of an exponential energy decay estimate when the uncertain disturbances...
Changchun, Liu (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Merazga, Nabil, Bouziani, Abdelfatah (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Vodák, Rostislav (2005)
Journal of Applied Mathematics
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G. Perla Menzala, Ademir F. Pazoto, Enrique Zuazua (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a dynamical one-dimensional nonlinear von Kármán model for beams depending on a parameter and study its asymptotic behavior for large, as . Introducing appropriate damping mechanisms we show that the energy of solutions of the corresponding damped models decay exponentially uniformly with respect to the parameter . In order for this to be true the damping mechanism has to have the appropriate scale with respect to . In the limit as we obtain damped Berger–Timoshenko...
Araruna, F.D., Borges, J.E.S. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Petr Kaplický, Jakub Tichý (2013)
Open Mathematics
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We investigate boundary regularity of solutions of generalized Stokes equations. The problem is complemented with perfect slip boundary conditions and we assume that the nonlinear elliptic operator satisfies non-standard ϕ-growth conditions. We show the existence of second derivatives of velocity and their optimal regularity.