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Controllability on Infinite-Dimensional Manifolds: A Chow-Rashevsky Theorem
(Springer, 2014-04-29)
One of the fundamental problems in control theory is that of controllability, the question of whether one can drive the system from one point to another with a given class of controls. A classical result in geometric control ...
On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
(Springer, 2014-10)
The Korteweg-de Vries (KdV) equation is widely recognized as a simple model
for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of
fluid. While solutions of the KdV equation describe the ...