Anti-periodic solutions of some nonlinear evolution equations.
Apparition éventuelle de singularités dans des problèmes d'évolution non linéaires
Application of a noncompactness technique to an investigation of the existence of solutions to a nonlocal multivalued Darboux problem.
Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations.
Application of Moser's method to a certain type of evolution equations
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
Application of variational iteration method to fractional hyperbolic partial differential equations.
Applications bilinéaires compatibles avec un opérateur hyperbolique
Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type.
Approche visqueuse de solutions discontinues de systèmes hyperboliques semilinéaires
On s’intéresse à des systèmes symétriques hyperboliques multidimensionnels en présence d’une semilinéarité. Il est bien connu que ces systèmes admettent des solutions discontinues, régulières de part et d’autre d’une hypersurface lisse caractéristique de multiplicité constante. Une telle solution étant donnée, on montre que est limite quand de solutions du système perturbé par une viscosité de taille . La preuve utilise un problème mixte parabolique et des développements de couches limites....
Approximation of initial and boundary value problems for quasilinear first order equations
Approximation of Pseudodifferential Operators in Absorbing Boundary Conditions for Hyperbolic Equations.
Arbitrary high-order finite element schemes and high-order mass lumping
Computers are becoming sufficiently powerful to permit to numerically solve problems such as the wave equation with high-order methods. In this article we will consider Lagrange finite elementsof order k and show how it is possible to automatically generate the mass and stiffness matrices of any order with the help of symbolic computation software. We compare two high-order time discretizations: an explicit one using a Taylor expansion in time (a Cauchy-Kowalewski procedure) and an implicit Runge-Kutta...
Arbitrary Lagrangian Eulerian method for compressible plasma simulations
Around certain critical cases in stability studies in hydraulic engineering
It is considered the mathematical model of a benchmark hydroelectric power plant containing a water reservoir (lake), two water conduits (the tunnel and the turbine penstock), the surge tank and the hydraulic turbine; all distributed (Darcy-Weisbach) and local hydraulic losses are neglected,the only energy dissipator remains the throttling of the surge tank. Exponential stability would require asymptotic stability of the difference operator associated to the model. However in this case this stability...
Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass
Asymptotic analysis and control of a hybrid system composed by two vibrating strings connected by a point mass
We consider a hybrid, one-dimensional, linear system consisting in two flexible strings connected by a point mass. It is known that this system presents two interesting features. First, it is well posed in an asymmetric space in which solutions have one more degree of regularity to one side of the point mass. Second, that the spectral gap vanishes asymptotically. We prove that the first property is a consequence of the second one. We also consider a system in which the point mass is replaced...
Asymptotic and numerical description of the kink/antikink interaction.
Asymptotic behavior for a dissipative plate equation in with periodic coefficients.
Asymptotic behavior for the centered-rarefaction appearance problem.