Asymptotics for some nonlinear damped wave equation : finite time convergence versus exponential decay results
Energy decay for solutions to semilinear systems of elastic waves in exterior domains.
Exact solutions for equations of Bose-Fermi mixtures in one-dimensional optical lattice.
Multi-component NLS models on symmetric spaces: spectral properties versus representations theory.
Multiwave nonlinear couplings in elastic structures.
Nonresonance and global existence of prestressed nonlinear elastic waves.
Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
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
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
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.
Uniform stabilization for elastic waves system with highly nonlinear localized dissipation.