[PDF] Top 20 Optimal filtration for the approximation of boundary controls for the one-dimensional wave equation

... by the study of a similar strategy as in [1], where a finite difference semi-discrete scheme for the approximation of the boundary controls of a 1- D ... Voir le document complet

... The paper is organized as ...concerning the question of the numerical control of the 1 − D wave equations and we present the precise scope of the ... Voir le document complet

... some optimal estimates of a Weierstrass product Pm on the real axis and on finding a smart family of ...estimates of some intricate products. This is the reason why we can prove ... Voir le document complet

... On the other hand, the approximation of controls of PDEs is a very popular direction of research and has attracted a lot of attention these last twenty years, due ... Voir le document complet

... On the other hand, the approximation of controls of PDEs is a very popular direction of research and has attracted a lot of attention these last twenty years, due ... Voir le document complet

... that of uniform globally asymptotic stability (UGAS for short), which says that there exists a KL-function β : R + × R + → R such that kz(t)k X 2 ≤ β(kz(0)k X 2 , t) for every t ≥ 0 and solution z(·) ... Voir le document complet

... systems, boundary controls, backstepping, optimal ...in one dimensional space are frequently used in modelling of many systems such as traffic flow, heat exchangers, and fluids ... Voir le document complet

... From the optimal design point of view, the main difficulties arise from the multi-physic aspects of this problem, depicted on ...Indeed, the heat flowing from a solid ... Voir le document complet

... [8]. The results in [1, Theorem 3.2] were obtained by using a Bloch-wave Ansatz for the numerical ...to the novelty of our work: methodology and application for numerical ... Voir le document complet

... be the result predicted by RMT in the case of the Gaussian Orthogonal Ensemble (see ...[15]) for which b(x) = 1 − 2x + x ln(1 + 2x) if 0 < x < 1 (33a) = −1 + x ln [(2x + 1)/(2x − ... Voir le document complet

... completeness for nonlinear Schr¨odinger equations (without potential). The initial approach ([8]) consists in working with a Σ ...use the operator x + it∇, whose main properties are essentially those ... Voir le document complet

... that the Gross-Pitaevskii equation supplemented with condition (1) is integrable by means of an inverse scattering ...in the long-time asymptotics of the flow, and sometimes ... Voir le document complet

... as the same time very simple and very general, as it can be applied for any linear (null controllable) equations and ...viewpoint, the approach appears to be very robust, notably avoids the ... Voir le document complet

... Abstract The fact that the Korteweg-de-Vries equation offers a good approximation of long-wave solutions of small amplitude to the one-dimensional ... Voir le document complet

... J the system (1.4) is null-controllable at any large time T > T ? for some T ? that depends on Ω and J ...consequence of the Hilbert Uniqueness Method of J.-L. Lions [20], the ... Voir le document complet

... in the half plane {z < 0} meeting at 0, then they must be in a plane orthogonal to {z = ...At the opposite of [CH], our approach is based on equation (1) only, whereas the London ... Voir le document complet

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

... to the study of the long wave approximation for water waves under the influence of the gravity and a Coriolis ...generalization of the ... Voir le document complet

... that the 2D Euler equation, as well as other related conservative 2D fluid equations, share a lot of similarities with the Vlasov ...investigations of perturbations around stationary ... Voir le document complet