CONTROL OF THE SURFACE OF A FLUID BY A WAVEMAKER

By Lionel Rosier. 2004

94 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9e24c0c0841fea7a5c5dfae8dcde516acdac73b9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Control and Systems Engineering

In Mathematical Physics

Citations in the corpus

On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping (2007, methodology): “At that point we observe that to obtain the decay of solutions they use a new unique continuation property whose proof is mainly based on a Carleman-type estimate for the Korteweg-de Vries equation established by Rosier in [13] (see also Lemmas 3.”
Controllability and asymptotic stabilization of the Camassa–Holm equation (2008, methodology): “Finally, concerning the controllability of other equations modelling surface water waves, let us mention [1, 12, 13, 28, 29, 30, 32, 34] for what concerns the Korteweg-de Vries equation, [26] for the linearized Benjamin-Bona-Mahony equation and [25] for the linearized Benjamin-Ono equation.”
Control of a Korteweg-de Vries equation: A tutorial (2013, unknown): “In [37, 24] some oneparameter Carleman estimates are proved to get some boundary observability inequalities.”
CONTROL AND STABILIZATION OF A FAMILY OF BOUSSINESQ SYSTEMS (2009, background): “Many other dispersive equations have also been studied for their control and stabilization problems (the reader is referred to [4, 12, 19, 22, 23, 25, 26, 32, 33, 38, 41, 44, 45, 47] and the references therein).”
Internal controllability of the Korteweg-de Vries equation on a bounded domain (2014, background): “It was shown in [20] that the exact controllability of the linearized system holds in L2(0, L) if, and only if, L does not belong to the following countable set of critical lengths N := { 2π√ 3 √ k2 + kl+ l2 : k, l ∈ N∗ } .”
Local rapid stabilization for a Korteweg–de Vries equation with a Neumann boundary control on the right (2013, background): “For instance, the system is only null controllable if the control acts on the left Dirichlet boundary condition and homogeneous data is considered at the right end point of the interval (see [22]).”
Boundary controllability for the nonlinear Korteweg–de Vries equation on any critical domain (2009, result): “One can find other results on the controllability of KdV control systems in [14,19–22] and the references therein.”