1 citations · 2 across the 3 of their papers we have counts for
4 papers
Stabilization of Dispersion Generalized Benjamin Ono
Cynthia Flores, Seungly Oh, Derek Smith
In this article, we examine well-posedness and stabilization property of the dispersion-generalized Benjamin-Ono equation with periodic boundary conditions. The main ingredie…
Control and Stabilization of the Periodic Fifth Order Korteweg-de Vries Equation
Cynthia Flores, Derek L. Smith
We establish local exact control and local exponential stability of periodic solutions of fifth order Korteweg-de Vries type equations in , . A dissipative te…
On the regularity of solutions to a class of nonlinear dispersive equations
Felipe Linares, Gustavo Ponce, Derek L. Smith
We shall study special regularity properties of solutions to some nonlinear dispersive models. The goal is to show how regularity on the initial data is transferred to the solution…
Propagation of regularity and persistence of decay for fifth order dispersive models
Jun-ichi Segata, Derek L. Smith
This paper considers the initial value problem for a class of fifth order dispersive models containing the fifth order KdV equation $$\partial_tu - \partial_x^5u - 30u^2\partial_xu…