3 papers
math.AP2019
Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications
M. D'Elia, C. Flores, X. Li +2
Nonlocal operators that have appeared in a variety of physical models satisfy identities and enjoy a range of properties similar to their classical counterparts. In this paper we o…
math.AP2017
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…
math.AP2017
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…