Well-posedness
Existence, uniqueness, and regularity for initial-boundary value problems governed by dispersive PDEs.
UFPE · BrazilProfiles
Partial Differential Equations · Control Theory
RobertoCapistrano-Filho
Assistant Professor
Department of Mathematics
Federal University of Pernambuco
I study the analysis and control of partial differential equations, with a focus on well-posedness, controllability, and stabilization in fluid models.
Current position
UFPE, Recife
01Research
Mathematics forevolving systems.
My research connects analysis and control to understand how complex systems behave, respond, and can be guided over time.
Explore research projectsControllability
Boundary and internal control strategies for steering nonlinear systems toward prescribed states.
Stabilization
Long-time behavior, observability, and feedback mechanisms for systems arising in fluid dynamics.
Inverse problems
Qualitative and quantitative tools for recovering hidden information from PDE-based models.
Current research
Fluid dynamics, control & stability
CNPq · 2025—2029
Dispersive Systems Applied to Fluid Dynamics: Well-Posedness, Control, and Stability
CAPES · COFECUB · 2024—2027
International cooperation connecting research groups in Brazil and France
02Selected publications
Recent work acrossanalysis & control.
View full publication list01020304
SIAM Journal on Mathematical Analysis · 2026
An analysis of the entire functions associated with the operator of the KdV equation
with H. Parada and J. S. da Silva
ZAMM · 2026
On the controllability of laminated beams with Venttsel-type boundary conditions
with G. J. Bautista and J. Límaco
Evolution Equations and Control Theory · 2026
Traveling-wave solutions for a higher-order Boussinesq system: existence and numerical analysis
with J. R. Quintero and J. C. Muñoz
Communications in Analysis and Mechanics · 2026
Studies on the Rao–Nakra Sandwich Beam: Well-Posedness, Dynamics, and Controllability
with G. J. Bautista, B. Chentouf, and O. Sierra Fonseca
03Academic life
Teaching
Courses built around rigorous thinking.
Current and previous courses for undergraduate and graduate students at UFPE.
Mentoring
Guidance from first questions to new results.
Supervision of students and postdoctoral researchers in analysis, control, and dispersive equations.
Community
Research grows through conversation.
Seminars, collaborations, and research groups connecting PDE scholars in Brazil and abroad.
04Connect