Positive periodic solutions for the Korteweg-de Vries equation.
Qualitative investigation of the three-phase solutions of the sine-Laplace equation
Quasiperiodic Soliton Solutions to Nonlinear Klein-Gordon Equations on IR2.
Remark on periodic solutions of a linear wave equation in one dimension
Remarks on weak solutions for a nonlocal parabolic problem.
Resonant averaging for weakly nonlinear stochastic Schrödinger equations
Results on qualitative features of periodic solutions of KdV
Rotationally invariant periodic solutions of semilinear wave equations.
Second order nonpersistence of the sine Gordon breather under an exceptional perturbation
Semiclassical measures for the Schrödinger equation on the torus
In this article, the structure of semiclassical measures for solutions to the linear Schrödinger equation on the torus is analysed. We show that the disintegration of such a measure on every invariant lagrangian torus is absolutely continuous with respect to the Lebesgue measure. We obtain an expression of the Radon-Nikodym derivative in terms of the sequence of initial data and show that it satisfies an explicit propagation law. As a consequence, we also prove an observability inequality, saying...
Singly periodic solutions of a semilinear equation
Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
Small time-periodic solutions of equations of magnetohydrodynamics as a singularly perturbed problem
This paper deals with a system of equations describing the motion of viscous electrically conducting incompressible fluid in a bounded three dimensional domain whose boundary is perfectly conducting. The displacement current appearing in Maxwell’s equations, is not neglected. It is proved that for a small periodic force and small positive there exists a locally unique periodic solution of the investigated system. For , these solutions are shown to convergeto a solution of the simplified (and...
Small time-periodic solutions to a nonlinear equation of a vibrating string
In this paper, the system consisting of two nonlinear equations is studied. The former is hyperbolic with a dissipative term and the latter is elliptic. In a special case, the system reduces to the approximate model for the damped transversal vibrations of a string proposed by G. F. Carrier and R. Narasimha. Taking advantage of accelerated convergence methods, the existence of at least one time-periodic solution is stated on condition that the right-hand side of the system is sufficiently small.
Sobre Las Soluciones Periodicas Del Problema De Dirichlet Para Ecuaciones De Tipo Parabolico.
Soluciones Periodicas De Un Modela De Un Reactor Dinamico.
Solution of a linear model of a single-piston pump by means of methods for differential equations in Hilbert spaces
A mathematical model of a fluid flow in a single-piston pump is formulated and solved. Variation of pressure and rate of flow in suction and delivery piping respectively is described by linearized Euler equations for barotropic fluid. A new phenomenon is introduced by a boundary condition with discontinuous coefficient describing function of a valve. The system of Euler equations is converted to a second order equation in the space where is length of the pipe. The existence, unicity and stability...
Solution of a spectral problem for the curl and the Stokes operator with periodic boundary conditions.
Solutions classification to the extended reduced Ostrovsky equation.
Solutions of minimal period of a wave equation via a generalization of a Hofer's theorem