[PDF] Top 20 Controllability of the Korteweg–de Vries equation from the right Dirichlet boundary condition
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Controllability of the Korteweg–de Vries equation from the right Dirichlet boundary condition
... consider the controllability of the Korteweg-de Vries equation in a bounded interval when the control operates via the right Dirichlet ... Voir le document complet
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Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
... consider the controllability of the Korteweg-de Vries equation in a bounded interval when the control operates via the right Dirichlet ... Voir le document complet
13
Internal controllability of the Korteweg-de Vries equation on a bounded domain
... means of a control f , from any state to the origin ...controllable. The study of the controllability and stabilization of the KdV equation started ... Voir le document complet
27
Small-time local stabilization for a Korteweg-de Vries equation
... a Korteweg-de Vries equation Shengquan Xiang 1 Abstract This paper focuses on the (local) small-time stabilization of a Korteweg-de Vries equation on bounded ... Voir le document complet
8
Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right
... in the backstepping approach. The main difference between the system ...and the system (1.6) is the position where the control is ...that the control properties of ... Voir le document complet
46
Boundary controllability of the Korteweg-de Vries equation on a tree-shaped network
... in the controllability of oriented networks for the Korteweg-de Vries (KdV) ...In the literature there is already a good understanding of the control ... Voir le document complet
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On the Uniform Controllability of the Burgers Equation
... On the one hand, the local exact controllability to trajectories, which stands for the concept of exact controllability with the additional assumption that the ... Voir le document complet
28
Boundary null-controllability of 1-D coupled parabolic systems with Kirchhoff-type condition
... proof of such result follows from an adaptation of [14, Theorem ...that the supremum in (5.4) corresponds actually to the limit as → 0 of inf L 2 (0 ,T ;R) F .... The ... Voir le document complet
56
On the controllability of the non-isentropic 1-D Euler equation
... satisfying the (strict) hyperbolicity condition that at each point df has n distinct real eigenvalues λ 1 , ...are the characteristic speeds at which the system ...if the initial ... Voir le document complet
65
Exact boundary controllability of a nonlinear KdV equation with critical lengths
... We prove that the nonlinear term gives the local controllability around the origin Key-words: Exact boundary controllability, Korteweg-de Vries, nonlinear equation, missed directions.. U[r] ... Voir le document complet
37
Control of a Wave Equation with a Dynamic Boundary Condition
... NTRODUCTION The aim of this paper is to study a wave equation in a bounded one-dimensional medium supplied with a dynamic (or kinetic) boundary condition at one ...end. The ... Voir le document complet
7
Approximate controllability of the viscous Burgers equation on the real line
... refer the reader to Section 2 for a stronger result on approximate con- trollability and for an outline of its proof, which is based on an adaptation of a general approach introduced by Agrachev and ... Voir le document complet
21
Spectral element schemes for the Korteweg-de Vries and Saint-Venant equations
... ). The number of unknowns is then twice greater, except if the discrete equation that defines f can be trivially ...is the case if using the SEM : Because the quadrature ... Voir le document complet
7
Second Order PDEs with Dirichlet White Noise Boundary Condition
... WITH DIRICHLET WHITE NOISE BOUNDARY CONDITIONS ZDZISLAW BRZE´ ZNIAK, BEN GOLDYS, SZYMON PESZAT, AND FRANCESCO RUSSO ...study the Poisson and heat equations on bounded and unbounded domains with ... Voir le document complet
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ON THE DERIVATIVE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF LINE WITH ROBIN BOUNDARY CONDITION
... stability of standing waves for classical nonlinear Schrödinger equations was originally stud- ied by Cazenave and Lions [ 2 ] with variational and compactness ...use the variational techniques to study ... Voir le document complet
18
A note on the global controllability of the semilinear wave equation
... Proof: The existence of a compact global attractor for S(t) follows from the classical arguments of Theorem ...3.8.5 of Hale’s book [15] (see also Theorem 4.6 of [26]). ... Voir le document complet
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Null controllability of the 2D heat equation using flatness
... that the state reached at time T is exactly zero. We use the so-called flatness approach [6], which consists in parameterizing the solution θ and the control u by the derivatives ... Voir le document complet
13
Roughness effect on the Neumann boundary condition
... study the effect of a periodic roughness on a Neumann boundary ...in the case of a Dirichlet boundary condi- tion, it is possible to approach this condition by a ... Voir le document complet
37
Controllability and asymptotic stabilization of the Camassa–Holm equation
... (1) The Camassa-Holm equation describes one-dimensional surface waves at a free surface of shallow water under the influence of ...gravity. The function u(t, x) represents ... Voir le document complet
25
Exact controllability in projections of the bilinear Schrödinger equation
... 1, the exact description of the reachable set seems a difficult ...approximate controllability results have been obtained with different techniques: adiabatic control ([1, 11]), Lyapunov methods ... Voir le document complet
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