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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
Curiosities
“In a way, mathematics is the only infinite human activity. It is conceivable that humanity could eventually learn everything in physics or biology. But humanity certainly won't ever be able to find out everything in mathematics, because the subject is infinite. Numbers themselves are infinite. That's why mathematics is really my only interest.”
— Paul Erdős
01Projects
Research projectsin progress.
Current grants and international cooperation supporting research in analysis, control, and nonlinear dispersive systems.
Active projects
Current grants & international cooperation
4 active projects
CNPq · PQ Level B08/2025—07/2029
Dispersive Systems Applied to Fluid Dynamics: Well-Posedness, Control, and Stability
Funder · CNPqCOFECUB / CAPES01/2024—12/2027
International cooperation connecting research groups in Brazil and France
Funder · CAPES & COFECUBCNPq / MCTI · Call 10/202312/2023—12/2026
Desigualdades assintóticas, singularidades e controlabilidade para alguns sistemas físicos
Funder · CNPqView all previous projects6 completed
CNPq · Call 26/2021 · Overseas Fellowships09/2022—04/2024
Initial boundary value problems for dispersive equations and applications to fluid dynamics problems
Funder · CNPqCNPq · PQ203/2022—07/2025
Initial boundary value problems of dispersive systems and their applications to fluid dynamics
Funder · CNPqMATH-AmSud01/2021—12/2023
International cooperation in analysis, control, and nonlinear dispersive equations
Funder · CONICYT & CMM · COLCIENCIAS · CAPES · CNRSUniversal CNPq03/2019—02/2022
Asymptotic behavior and control properties for nonlinear dispersive systems
Funder · CNPqPrInt / CAPES03/2018—12/2022
Internationalization project in mathematics
Funder · CAPESCNPq · PQ203/2018—02/2021
Boa colocação, controle e estabilização para sistemas dispersivos não lineares
Funder · CNPqResearch groups
Long-term academic communities
Permanent member
Graduate Program in Mathematics at UFPE
11/2015—Current
Research group
Research Group of Nonlinear PDEs
11/2015—Current
02Research
Mathematics forevolving systems.
My research connects analysis, control, and numerical methods to understand how complex systems behave, respond, and can be guided over time.
Well-posedness
Existence, uniqueness, and regularity for initial-boundary value problems governed by dispersive PDEs.
Controllability
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.
Numerical analysis
Analytical and computational methods for approximating solutions and exploring the dynamics of nonlinear dispersive systems.
Preprints
Work in progress
8 manuscripts · updated from arXiv
P01Submitted
Optimal polynomial stabilization of the linearized periodic Whitham-Boussinesq system
R. A. Capistrano-Filho and W. A. Roqueta
P02Submitted
Solitary waves for a higher-order Boussinesq system: Stability and numerical experiments
R. A. Capistrano-Filho, J. R. Quintero, and J. C. Muñoz
P03Submitted
Unique continuation for fifth-order KP equation and its application to control problems
R. A. Capistrano-Filho and A. C. Nascimento
P04Submitted
A nonhomogeneous boundary-value problem for the nonlinear KdV equation on star graphs
R. A. Capistrano-Filho, H. Parada, and J. S. da Silva
View all preprints
P05Submitted
Long-time dynamics of the Zakharov–Kuznetsov equation
R. A. Capistrano-Filho and A. C. Nascimento
P06Submitted
Stabilization of a perturbed quintic defocusing Schrödinger equation in R³: The critical case
P. Braz e Silva, R. A. Capistrano-Filho, J. D. N. Carvalho, and D. dos Santos Ferreira
P07Submitted
Critical lengths for the linear Kadomtsev-Petviashvili equation
R. A. Capistrano-Filho, F. Gallego, and J. R. Muñoz
P08Submitted
Control of the Schrödinger equation in R³: The critical case
P. Braz e Silva, R. A. Capistrano-Filho, J. D. N. Carvalho, and D. dos Santos Ferreira
Publications
Journal papers
48 peer-reviewed articles · 2012—2027
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Bulletin des Sciences Mathématiques · 2027
Another look at the control properties of the Korteweg-de Vries equation
R. A. Capistrano-Filho and F. Gallego
Communications in Analysis and Mechanics · 2026
Studies on the Rao–Nakra Sandwich Beam: Well-Posedness, Dynamics, and Controllability
G. J. Bautista, R. A. Capistrano-Filho, B. Chentouf, and O. Sierra Fonseca
Zeitschrift für Angewandte Mathematik und Mechanik · 2026
On the controllability of laminated beams with Venttsel-type boundary conditions
G. J. Bautista, R. A. Capistrano-Filho, and J. Límaco
SIAM Journal on Mathematical Analysis · 2026
An analysis of the entire functions associated with the operator of the KdV equation
R. A. Capistrano-Filho, H. Parada, and J. S. da Silva
Evolution Equations and Control Theory · 2026
Traveling-wave solutions for a higher-order Boussinesq system: existence and numerical analysis
R. A. Capistrano-Filho, J. R. Quintero, and J. C. Muñoz
Asymptotic Analysis · 2026
Well-posedness and long-time dynamics of a water-waves model with time-varying boundary delay
G. J. Bautista, R. A. Capistrano-Filho, B. Chentouf, and O. Sierra Fonseca
Tunisian Journal of Mathematics · 2026
Control of Kawahara equation using flat outputs
R. A. Capistrano-Filho and J. S. da Silva
Communications in Mathematical Sciences · 2026
Boundary controllability of the Korteweg-de Vries equation: The Neumann case
R. A. Capistrano-Filho and J. S. da Silva
View all 48 journal papers
#40#39#38#37#36#35#34#33#32#31#30#29#28#27#26#25#24#23#22#21#20#19#18#17#16#15#14#13#12#11#10#09#08#07#06#05#04#03#02#01
Journal of Evolution Equations · 2025
A qualitative study of the generalized dispersive systems with time-delay: The unbounded case
R. A. Capistrano-Filho, F. Gallego, and V. Komornik
Nonlinearity · 2025
Stability of solitary waves for generalized abcd-Boussinesq system: The Hamiltonian case
R. A. Capistrano-Filho, J. R. Quintero, and S.-M. Sun
Proceedings of the Royal Society of Edinburgh Section A: Mathematics · 2025
Stabilization of the Kawahara-Kadomtsev-Petviashvili equation with time-delayed feedback
R. A. Capistrano-Filho, V. H. Gonzalez Martinez, and J. R. Muñoz
Applied Mathematics & Optimization · 2025
Observability of the linear Zakharov-Kuznetsov equation
R. A. Capistrano-Filho, V. Komornik, and A. F. Pazoto
Mathematical Control and Related Fields · 2025
On the stability of the Kawahara equation with a distributed infinite memory
R. A. Capistrano-Filho, B. Chentouf, and I. M. de Jesus
Journal of Differential Equations · 2025
Controls insensitizing the norm of solution of a Schrödinger type system with mixed dispersion
R. A. Capistrano-Filho and T. Y. Tanaka
Nonlinear Analysis: Real World Applications · 2024
On the boundary stabilization of the KdV-KdV system with time-dependent delay
R. A. Capistrano-Filho, B. Chentouf, V. H. Gonzalez Martinez, and J. R. Muñoz
Mathematische Nachrichten · 2024
Approximation theorem for the Kawahara operator and its application in control theory
R. A. Capistrano-Filho, L. S. de Sousa, and F. A. Gallego
Zeitschrift für Angewandte Mathematik und Physik · 2024
Coupled linear Schrödinger equations: Control and stabilization results
K. Bhandari, R. A. Capistrano-Filho, S. Majumdar, and T. Y. Tanaka
Mathematical Control and Related Fields · 2024
Stabilization results for delayed fifth-order KdV-type equation in a bounded domain
R. A. Capistrano-Filho and V. H. Gonzalez Martinez
Qualitative Theory of Dynamical Systems · 2024
Dynamic stability of the Kawahara equation under the effect of a boundary finite memory
R. A. Capistrano-Filho, B. Chentouf, and I. de Jesus
Electronic Journal of Qualitative Theory of Differential Equations · 2023
Infinite memory effects on the stability of Biharmonic Schrödinger equation
R. A. Capistrano-Filho, I. M. de Jesus, and V. H. Gonzalez Martinez
Mathematical Methods in the Applied Sciences · 2023
Control of Kawahara equation with overdetermination condition: The unbounded cases
R. A. Capistrano-Filho, L. S. de Sousa, and F. A. Gallego
Nonlinear Differential Equations and Applications · 2023
Control results for a model of resonant interaction between short and long capillary-gravity waves
R. A. Capistrano-Filho and A. Pampu
Acta Applicandae Mathematicae · 2023
Massera’s theorems for a higher order dispersive system
R. A. Capistrano-Filho and I. M. de Jesus
Communications in Contemporary Mathematics · 2023
Rapid Exponential Stabilization of a Boussinesq System of KdV–KdV Type
R. A. Capistrano-Filho, E. Cerpa, and F. Gallego
ESAIM: Control, Optimisation and Calculus of Variations · 2023
Global control aspects for long waves in nonlinear dispersive media
R. A. Capistrano-Filho and A. Gomes
Zeitschrift für Angewandte Mathematik und Physik · 2023
Two stability results for the Kawahara equation with a time-delayed boundary control
R. A. Capistrano-Filho, B. Chentouf, L. de Sousa, and V. H. Gonzalez Martinez
Evolution Equations & Control Theory · 2023
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
R. A. Capistrano-Filho, M. Cavalcante, and F. A. Gallego
Nonlinear Analysis: Real World Applications · 2022
On the control issues for higher-order nonlinear dispersive equations on the circle
R. A. Capistrano-Filho, C. Kwak, and F. J. Vielma Leal
Mathematische Zeitschrift · 2022
The fractional Schrödinger equation on compact manifolds: Global controllability results
R. A. Capistrano-Filho and A. Pampu
Discrete & Continuous Dynamical Systems – B · 2022
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
R. A. Capistrano-Filho, M. Cavalcante, and F. A. Gallego
Journal of Mathematical Analysis and Applications · 2022
Control results with overdetermination condition for higher order dispersive system
R. A. Capistrano-Filho and L. S. de Sousa
Applied Mathematics & Optimization · 2021
Stabilization and control for the biharmonic Schrödinger equation
R. A. Capistrano-Filho and M. Cavalcante
Electronic Journal of Qualitative Theory of Differential Equations · 2021
Weak damping for the Korteweg-de Vries equation
R. A. Capistrano-Filho
Nonlinear Analysis · 2021
Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces
R. A. Capistrano-Filho and M. M. de S. Gomes
Pacific Journal of Mathematics · 2020
Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane
R. A. Capistrano-Filho, M. Cavalcante, and F. A. Gallego
Evolution Equations & Control Theory · 2020
Pointwise control of the linearized Gear–Grimshaw system
R. A. Capistrano-Filho, V. Komornik, and A. F. Pazoto
São Paulo Journal of Mathematical Sciences · 2019
Initial boundary value problem for Korteweg-de Vries equation: a review and open problems
R. A. Capistrano-Filho, S.-M. Sun, and B.-Y. Zhang
ESAIM Control Optimization and Calculus of Variations · 2019
Control of Boussinesq system of KdV-KdV type on a bounded interval
R. A. Capistrano-Filho, A. F. Pazoto, and L. Rosier
Nonlinearity · 2019
On the well posedness and large-time behavior of higher order Boussinesq system
R. A. Capistrano-Filho, F. A. Gallego, and A. F. Pazoto
Mathematical Control and Related Fields · 2018
General boundary value problems of the Korteweg-de Vries equation on a bounded domain
R. A. Capistrano-Filho, S.-M. Sun, and B.-Y. Zhang
Journal of Differential Equations · 2018
Asymptotic behavior of Boussinesq system of KdV-KdV type
R. A. Capistrano-Filho and F. A. Gallego
Journal of Dynamical and Control Systems · 2018
Stabilization of the Gear–Grimshaw system with weak damping
R. A. Capistrano-Filho
SIAM Journal on Control and Optimization · 2017
Neumann boundary controllability of the Korteweg-de Vries equation on a bounded domain
M. A. Caicedo, R. A. Capistrano-Filho, and B.-Y. Zhang
Mathematics of Control, Signals, and Systems · 2017
Boundary controllability of the nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain
R. A. Capistrano-Filho, F. A. Gallego, and A. F. Pazoto
Zeitschrift für Angewandte Mathematik und Physik · 2016
Neumann boundary controllability of the Gear-Grimshaw system with critical size restrictions on the spatial domain
R. A. Capistrano-Filho, F. A. Gallego, and A. F. Pazoto
ESAIM Control Optimization and Calculus of Variations · 2015
Internal controllability for the Korteweg-de Vries equation on a bounded domain
R. A. Capistrano-Filho, A. F. Pazoto, and L. Rosier
Communications in Contemporary Mathematics · 2014
Stabilization of the Gear-Grimshaw system on a periodic domain
R. A. Capistrano-Filho, V. Komornik, and A. F. Pazoto
Journal of Mathematical Analysis and Applications · 2012
Energy decay for the modified Kawahara equation posed in a bounded domain
F. D. Araruna, R. A. Capistrano-Filho, and G. Doronin
Books / Chapters
Collected work
Book chapters and invited contributions
Thesis
Academic foundations
Doctoral and master’s research
PhD Thesis2012—2014
Contrôle d’equations dispersives pour les ondes de surfaces
Institut Élie Cartan de Lorraine · Université de Lorraine · Nancy, France
PhD Thesis2010—2014
Control of dispersive equations for surface waves
Instituto de Matemática · Universidade Federal do Rio de Janeiro · Rio de Janeiro, Brazil
Master’s Thesis2008—2010
Existência, unicidade e estabilidade para a equação de Kawahara
Departamento de Matemática · Universidade Federal da Paraíba · João Pessoa, Brazil
03Agenda
Talks, visits& scientific meetings.
A chronological record of conferences, workshops, research visits, and invited talks since 2014.
2026
5 activitiesIV Symposium on Nonlinear Partial Differential Equations – Recife – UFPE – Recife – Brazil (20-23 January)
Scientific visit to Chulkwang Kwak at Ewha Womans University, Seoul – Korea (5-24 May).
International Congress on Differential Equations, Dynamical Systems, and Applied Mathematics – Londrina – Brazil (8-11 June)III Workshop on Control Theory and Partial Differential Equations – Niterói – UFF – Rio de Janeiro – Brazil (19-23 October)VII Colóquio de Matemática da Região Nordeste – UFPE – Recife (23-27 November)2025
12 activitiesSummer School DMat – UFPE (January and February)
I Workshop de Análise e Dinâmica da UFAL – Maceió – Alagoas (21-25 January)
Scientific visit to Prof. Fernando Gallego and participation in the “Escuela de Análisis y Ecuaciones Diferenciales” – Universidad Nacional de Colombia – Manizales (25 April-5 May).IX Encontro de Matemática Pura e Aplicada (IX EMPA) – UEPB – Campina Grande – Brazil (10-13 June)Half-Year Seminar in PDE – UFCG – Campina Grande – Paraíba (03-04 July)Mathematical Congress of the Americas – Miami – USA (21-25 July)Brazil-Mexico Joint Mathematical Meeting – Fortaleza – Ceará – Brazil (8-12 September)XLIV Congresso Nacional de Matemática Aplicada e Computacional – Rio de Janeiro – RJ (15-19 September)XIII Jornada de Matemática da UFPI – Teresina – Piauí (23-26 September)Scientific visit to Tristan Robert at Université de Lorraine, Nancy – France (3-8 October)Scientific visit to Prof. Jérôme Le Rousseau at Université Sorbonne Paris Nord, Paris – France (9-16 October)Scientific visit to UFCG, Campina Grande, Brazil, 11-12 December.
View archive · 2014—2024
20246 activities
Scientific Visit to Prof. Chulkwang Kwak – Ewha University – Seoul – South Korea (September)
Recife Meeting on Mathematics – Celebrating the 70th birthday of Vilmos Komornik – Recife – Brazil (August)SIAM Conference on Nonlinear Waves and Coherent Structures – Maryland – USA (June)Workshop de Análise da PPGMat UFPI – Píaui – Brazil (March)II Symposium on Nonlinear Partial Differential Equations – Recife – Brazil (February)III Workshop de Equações Dispersivas na UFMG – Belo Horizonte – Belo Horizonte – Brazil (February)20238 activities
Scientific Visit to Prof. Fernando Gallego – UNAL – Manizales – Colombia (December)
1st Colombian Workshop in Nonlinear Dispersive Equations (November) – Manizales – ColombiaScientific visit to CMM – University of Chile – Santiago – Chile (October)
SIAM Southeastern Atlantic Section Annual Meeting – Blacksburg – USA (March)Twelfth Ohio River Analysis Meeting – Cincinnati – USA (March)Scientific visit to Prof. Bingyu Zhang, University of Cincinnati – USA (March)
I Symposium of Nonlinear Partial Differential Equations at UFPE – Recife – Brazil (February)Visiting Researcher at Virginia Tech, USA (January to July)
20227 activities
MatFest 2022 – Universidade Federal de Alagoas, Brazil (December)V Workshop on Nonlinear Dispersive Equations (WNDE) – Minas Geral – Brazil (November)
Scientific visit to Prof. David Dos Santos – Université de Larraine, France (November)
Scientific visit to Prof. Vilmos Komornik – Université de Strasbourg, France (October)
V Colóquio de Matemática da Região Sul (August)ICM (July) – St. Petersburg, Russia
VI Encontro de Matemática Pura e Aplicada – Universidade Estadual da Paraíba (June)20216 activities
Scientific visit to Prof. Márcio Cavalcante (December) – Universidade Federal de Alagoas, Brazil
Scientific visit to Prof. Vilmos Komornik (November) – Université de Strasbourg, France
Scientific visit to Prof. Fernando Gallego (September) – Universidad Nacional de Colombia – Manizales, Colombia
III Summer School of PMA – Universidade Estadual de Maringá – MarchColóquio da Graduação da UFPE – Online event
I workshop de pesquisadores jovens em análise e EDP – Universidade Federal Fluminense. – Online event (Link youtube)20202 activities
XIV Semana da Matemática da UFRR – Online event (Link youtube)
Scientific visit to Prof. Márcio Cavalcante (March) – Universidade Federal de Alagoas, Brazil
20195 activities
Scientific visit to Prof. Fernando Gallego (November) – Universidad Nacional de Colombia – Manizales, Colombia.
IV Nonlinear Dispersive Equations (November) – UFRJ – Rio de Janeiro – Brazil1st Joint Meeting Brazil-France in Mathematics (July) – IMPA – Rio de Janeiro – BrazilWorkshop de Verão em EDP’s e Sistemas Dinâmicos (February) – UFPE – Recife – Pernambuco – BrazilICMC Summer Meeting on Differential Equations 2019 Chapter – Properties of the biharmonic nonlinear Schrödinger equation (February) – USP São Carlos – São Pualo – Brazil.20186 activities
Workshop on Inverse and control problems for physical systems ICoPS (December) 2018, Valparaiso, Chile.Scientific visit to Prof. Fernando Gallego – Congreso Semestral en Análisis y Ecuaciones Diferenciales Parciales (November) Universidad Nacional de Colombia – Manizales, Colombia.International Congress of Mathematicians – Global Results on Control and Stabilization of Fourth Order Nonlinear Schrödinger Equation on the Torus (August) – Rio de Janeiro – Rio de Janeiro – Brazil.Nonlinear Dispersive Equations – Global Results on Control and Stabilization of Fourth Order Nonlinear Schrödinger Equation on a Periodic Domain (July) – Florianópolis – Santa Catarina – Brazil.
Participation as a member of the committee of public service exam – UFAL (May) – Maceió -Alagoas – Brazil.
Scientific Visit to Prof. Luiz Gustavo Farah (UFMG) and Segundo Workshop em Equações Dispersivas da UFMG – Critical Length Phenomenon For a Class of Dispersive Systems (March) – Belo Horizonte – Minas Gerais – Brazil.20176 activities
International Conference on Applied Mathematics and Informatics (ICAMI) – Critical Length Phenomenon For a Class of Dispersive Systems (November/December) – San Andrés – Colombia.Third Workshop on Nonlinear Dispersive Equations – General Boundary Value Problems of the Kortweg-de Vries Equation on a Bounded Domain (November) – Campinas – São Paulo – Brazil.MATFEST 2017 – Instituto de Matemática UFAL – Teoria do Controle: das EDO’s às EDP’s (Outubro) – Maceió – Alagoas – Brazil.VI WENLU Workshop em Equações Diferenciais Não-Lineares da UFPB – Critical Length Phenomenon For a Class of Dispersive Systems (March) – João Pessoa – Paraíba – Brazil.Recife Workshop on Control & Stabilization of PDEs (February) – Recife – Brazil.ICMC Summer Meeting on Differential Equation – Controllability of the Nonlinear Schrödinger Equation in Exterior Domains (February) – São Carlos – São Paulo – Brazil.
20163 activities
ENAMA – Encontro Nacional de Análise Matemática e Aplicações – Some results of internal controllability for the Korteweg-de Vries equation in the bounded domain (November) – Niterói – Rio de Janeiro – Brazil.Nonlinear PDEs @ IMPA – Neumann boundary controllability of the Korteweg-de Vries equation (June) – Rio de Janeiro – Rio de Janeiro – Brazil.V WENLU Workshop em Equações Diferenciais Não-Lineares da UFPB – Exact Controllability of the Nonlinear Schrödinger Equation in Exterior Domains (February) – João Pessoa – Paraíba.
20152 activities
Theoretical, Numerical and Experimental Studies of Nonlinear Dispersive Water Waves – Internal controllability results of the Korteweg-de Vries equation (July) – Tsinghua Sanya International Mathematics Forum – Sanya – China.Workshop on Control System and Identification Problems – Boundary controllability of the Korteweg-de Vries equation (January) – Valparaíso – Chile.
20143 activities
The 34th Southeastern Atlantic Regional Conference on Differential Equation – Some control results for the Boussinesq system of KdV-KdV type (October) – University of Memphis. Memphis – USA.Harmonic Analysis & Partial Differential Equations: Recent Developments & Future Directions: A conference in honor of C.E. Kenig (September) – University of Chicago. Chicago – USA.ICMC Summer Meeting on Differential Equation – Some controllability results for the Korteweg-de Vries equation (February) – São Carlos, SP – Brazil.
04Collaborators
A research networkacross borders.
Colleagues and co-authors connected through partial differential equations, control theory, and numerical analysis.
F. D. ArarunaBrazilG. J. BautistaBrazilK. BhandariCzech RepublicP. Braz e SilvaBrazil
M. A. CaicedoColombia
J. D. N. CarvalhoBrazilM. CavalcanteBrazilE. CerpaChileB. ChentoufKuwaitJ. S. da SilvaBrazilD. dos Santos FerreiraFranceI. de JesusBrazilL. de SousaBrazilG. DoroninBrazilF. A. GallegoColombiaM. GomesBrazilA. GomesBrazilV. H. Gonzalez MartinezBrazilH. ParadaFranceC. KwakSouth KoreaV. KomornikFranceJ. LímacoBrazilS. MajumdarIndiaJ. R. MuñozChileJ. C. MuñozColombiaA. C. NascimentoBrazilA. PampuBrazilA. PazotoBrazilJ. R. QuinteroColombiaL. RosierFranceO. Sierra FonsecaBrazilS.-M. SunUnited StatesT. Y. TanakaBrazilF. J. Vielma LealBrazilB.-Y. ZhangUnited States05Administrative duties
Academic service,quietly at work.
Current leadership and long-term service supporting mathematics at UFPE.
Coordinator
Graduate Program in Mathematics at the Federal University of Pernambuco.
Board member
Center for Exact and Natural Sciences (CCEN) at the Federal University of Pernambuco.
Permanent faculty member
Graduate Program in Mathematics at the Federal University of Pernambuco.
View previous duties3 earlier appointments
Vice coordinator
Graduate Program in Mathematics at the Federal University of Pernambuco.
Faculty member
Mathematics Degree Program at the Federal University of Pernambuco.
Vice coordinator
Graduate Program in Mathematics at the Federal University of Pernambuco.
06Academic 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.
07Connect