4 papers · 1 filter
Optimal stabilization rate for the wave equation with hyperbolic boundary condition
Hugo Parada, Nicolas Vanspranghe
We show that the energy of classical solutions to the wave equation with hyperbolic boundary condition (i.e., dynamic Wentzell boundary condition) and damping on the boundary decay…
A Nonhomogeneous Boundary-Value Problem For The Nonlinear KdV Equation on Star Graphs
Roberto de A. Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva
This paper investigates an initial-boundary value problem for the Korteweg--de Vries (KdV) equation on a finite equilateral star graph. We use the notion of -compatibility, whic…
Spectral scheme for an energetic Fokker-Planck equation with -distribution steady states
Claudia Negulescu, Hugo Parada
The concern of the present paper is the design of efficient numerical schemes for a specific Fokker-Planck equation describing the dynamics of energetic particles occurring in ther…
An analysis of the entire functions associated with the operator of the KdV equation
Roberto de A. Capistrano Filho, Hugo Parada, Jandeilson Santos da Silva
It is well known that the controllability property of partial differential equations (PDEs) is closely linked to the proof of an observability inequality for the adjoint system, wh…