Asymptotics for some nonlinear damped wave equation : finite time convergence versus exponential decay results
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Displaying 1 – 11 of 11
Energy decay for solutions to semilinear systems of elastic waves in exterior domains.
Ferreira, Marcio V., Perla Menzala, Gustavo (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice.
Kostov, Nikolay A., Gerdjikov, Vladimir S., Valchev, Tihomir I. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Multi-component NLS models on symmetric spaces: spectral properties versus representations theory.
Gerdjikov, Vladimir S., Grahovski, Georgi G. (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Multiwave nonlinear couplings in elastic structures.
Kovriguine, D.A., Maugin, G.A., Potapov, A.I. (2006)
Mathematical Problems in Engineering
Nonresonance and global existence of prestressed nonlinear elastic waves.
Sideris, Thomas C. (2000)
Annals of Mathematics. Second Series
Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
Sergiy Bak (2022)
Archivum Mathematicum
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
The existence of a solution and a numerical method for the Timoshenko nonlinear wave system
Jemal Peradze (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by a version of...
The existence of a solution and a numerical method for the Timoshenko nonlinear wave system
Jemal Peradze (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
The initial boundary value problem for a beam is considered in the Timoshenko model. Assuming the analyticity of the initial conditions, it is proved that the problem is solvable throughout the time interval. After that, a numerical algorithm, consisting of three steps, is constructed. The solution is approximated with respect to the spatial and time variables using the Galerkin method and a Crank–Nicholson type scheme. The system of equations obtained by discretization is solved by a version...
Traveling waves in rapid solidification.
Glasner, Karl (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.
Bisognin, Eleni, Bisognin, Vanilde, Coimbra Charão, Ruy (2003)
Portugaliae Mathematica. Nova Série
Currently displaying 1 – 11 of 11
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