Cali, Valle del Cauca
10 al 13
Free event
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Cali, Valle del Cauca
10 - 13 December
Free event
Colombian Nonlinear Dispersive Equations:
A Collaborative Workshop.
The study of nonlinear dispersive equations has experienced a
remarkable surge in activity in recent times, and Colombia has
been at the forefront of this progressive movement. The
country's research in this field has witnessed
exponential growth, with numerous researchers from various
universities and research centers actively engaged in
groundbreaking work, earning significant recognition on the
global stage.
The primary aim of this workshop is
to foster collaboration and knowledge exchange among both
Colombian and international researchers who specialize in this
area. By bringing together seasoned academics and promising
young researchers, including post-graduate students, the event
seeks to fortify and promote the latest advancements in this
captivating field of study. Through this unique platform,
researchers from diverse backgrounds will have the opportunity
to interact, share their findings, and collectively contribute
to the further enrichment of nonlinear dispersive equations
research.
In this spirit of collaboration, the
workshop promises to be an enriching experience for all
participants, facilitating the development of strong ties
between academic communities and enhancing the collective
pursuit of cutting-edge knowledge in this exciting domain.
Poster Session
The poster session showcased a diverse collection of high-quality research contributions presented by students and early-career researchers. Participants demonstrated originality, rigor, and creativity across a wide range of topics, making this year’s competition particularly strong. After careful evaluation by the scientific committee, we are pleased to announce the recipients of the Best Poster Awards and the Honorable Mentions, recognizing outstanding work in clarity, scientific merit, and presentation. We congratulate all presenters for their exceptional efforts and valuable contributions to the event.
Poster Award Winners:
César Rincón Guerrero
Poster title: Decay properties of solutions to BO-type equations with fractional dissipation
Xavier Purroy
Poster title: Local well-posedness in the inhomogeneous nonlinear Schr ̈odinger equation
Honorable Mention:
Iván Felipe Salamanca
Poster title: On the multiplier problem for the ball
Andrés David Cadena
Poster title: On the Hardy-Littlewood Maximal Function in Sobolev Spaces
Natalia Agudelo
Poster title: Stochastic Differential Equations and Ito Calculus: a Brief introduction
Brian Esteban Rojas
Poster title: Elapsed time models of a neural network
Main Participation:
Gustavo Ponce
University of California, Santa
Barba
USA
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Main Participation:
Felipe Linares
Instituto de Matemática Pura e
Aplicada, IMPA
Brasil
Main Participation:
Bingyu Zhang
University of Cincinnati
USA
Plenary Speakers
Gustavo Ponce
University of California, Santa Bárbara
United States
Felipe Linares
Instituto de Matemática Pura e Aplicada, IMPA
Brazil
Bingyu Zhang
University of Cincinnati
United States
Svetlana Roudenko
Florida International University
United States
Camille Laurent
Laboratoire de Mathématiques de Reims
France
Adán Corcho
Universidad de Córdoba
Spain
Eduardo Cerpa
Pontificia Universidad Católica de Chile
Chile
Julio Delgado
Univesidad del Valle
Colombia
Semiplenary Speakers
Fabio Natali
Universidade Estadual de Maringá
Brazil
Ademir Pastor
Universidade de Campinas
Brazil
Felipe Chaves Silva
Univerisdade Federal de Paraiba
Brazil
Germán Fonseca
Universidad Nacional de Colombia Sede Bogotá
Colombia
Victor Hugo Gonzalez
Universidade Federal de Pernambuco
Brazil
Liliana Esquivel
Universidad de Puerto Rico
Puerto Rico
Daniel Restrepo
Johns Hopkins University
United States
Juan Carlos Muñoz
Universidad del Valle
Colombia
José Manuel Jímenez
Universidad Nacional de Colombia Sede Medellín
Colombia
Erwin Suazo
University of Texas in Rio Grande Valley
USA
Richard de la Cruz
Universidad Pedagógica y Tecnológica de Colombia
Colombia
Miguel Soto
Universidad Estadual de Rio de Janeiro
Brazil
Alexander Muñoz
Universidade de Sao Paulo
Brazil
Communications
Universidad Nacional de Colombia Sede Bogotá, Colombia
Universidad del Rosario, Colombia
Universidad del Rosario, Colombia
Universidad Nacional de Colombia Sede Bogotá, Colombia
Pontificia Universidad Católica de Chile, Chile.
Universidad Pedagógica y Tecnológica de Colombia, Colombia
Universidad Técnica Federico Santa Maria, Chile
Universidad de Nariño, Colombia
Universidad de Cartagena, Colombia
Universidad del Cauca, Colombia
Florida International University, USA
Florida International University, USA
Universidad del Cauca, Colombia
Florida International University, USA
Minicourses
Oscar Riaño
Universidad Nacional de Colombia sede Bogotá
Colombia
Fernando Gallego
Universidad Nacional de Colombia Sede Manizales
Colombia
Minicourses:
The minicourses are designed with an introductory focus and are primarily intended for undergraduate students and those just beginning their graduate studies. Their goal is to provide a solid foundation in fundamental topics, helping participants to access more advanced areas of research.
Introductory Wellposedness Tools in Nonlinear Dispersive PDEs
Departamento de Matemáticas
Universidad Nacional de Colombia Sede Bogotá
Introduction to Control Theory of Evolution PDEs
Departamento de Matemáticas y Estadística
Universidad Nacional de Colombia Sede Manizales
Schedule:
Wednesday - 10/12/2025
07:00 - 08:00
Registration
08:00 - 09:20
Inaugural Event
(Auditorium Ángel Zapata Ceballos)
9:25 - 10:05
Plenary: Global well-posedness of the initial-boundary
value problem of a class generalized KdV equation on a
finite interval - Bingyu Zhang, University of
Cincinnati, USA
(Auditorium Ángel Zapata Ceballos)
Coffee Break
10:35 - 11:15
Plenary: Nonlinear Schrodinger equation on a unit ball
- Svetlana Roudenko, International Florida University, USA
((Auditorium Ángel Zapata Ceballos)
11:20 - 11:50
Semiplenary: On the orbital stability of periodic snoidal
waves for the ϕ4-equation
- Fabio Nataly, Universidade Federal de Maringá, Brazil
(Auditorium Ángel Zapata Ceballos)
11:50 - 12:30
Cultura Event
(Auditorium Ángel Zapata Ceballos)
12:30 - 12:40
Grupal Picture
(Auditorium Ángel Zapata Ceballos)
Lunch
14:10 - 15:00
Minicourses:
- Introductory Wellposedness Tools in Nonlinear
Dispersive PDEs
- Oscar Riaño, Universidad Nacional de Colombia Sede Bogotá
(Auditorium Chepe Escobar).
- Introduction to Control Theory of Evolution PDEs
- Fernando Gallego, Universidad Nacional de Colombia Sede
Manizales (Computer Laboratory).
15:00 - 15:45
CONVImaTE: TBA - Erika Cruz
(Auditorium Calima)
Coffee Break
16:30 - 17:15
CONVImaTE: TBA - Carolina
Garcia, Universidad Nacional de Colombia Sede Bogotá
(Auditorium Calima)
17:20 - 18:30
Posters and best poster award (Math Departament)
Thursday - 11/12/2025
07:00 - 08:00
Minicourses:
- Introductory Wellposedness Tools in Nonlinear
Dispersive PDEs
- Oscar Riaño, Universidad Nacional de Colombia Sede Bogotá
(Auditorium Chepe Escobar).
- Introduction to Control Theory of Evolution PDEs
- Fernando Gallego, Universidad Nacional de Colombia Sede
Manizales (Computer Laboratory).
08:00 - 08:40
Plenary: The intermediate long wave equation
- Gustavo Ponce, University of California, USA Cruz
(Auditorium Ángel Zapata Ceballos)
08:45 - 09:25
Plenary: Aproximation and stability results for the
parabolic FitzHugh-Nagumo system with rapidly oscillating
terms - Eduardo Cerpa, Pontificia Universidad Católica de Chile,
Chile
(Auditorium Ángel Zapata Ceballos)
09:30 - 10:10
Plenary: L2 solutions for cubic NLS equation with higher
order fractional elliptic/hyperbolic operators on RxT.
- Adán Corcho, University of Cordoba, Spain
(Auditorium Ángel Zapata Ceballos)
Coffee Break
10:30 - 11:00
Semiplenary: Traveling waves and global well-posedness
for quadratic NLS systems
- Ademir Pastor, Universidade de Campinas, Brazil ((Auditorium Ángel Zapata Ceballos)
11:10 - 11:40
Semiplenary: Long-time dynamics of KdV-KdV systems
- Victor Hugo Gonzalez, Universidade Federal de Pernambco,
Brazil
(Auditorium Ángel Zapata Ceballos)
11:45 - 12:15
Semiplenary: Dispersive blow-up for a coupled
Schr¨odinger-fifth order KdV system
- José Manuel Jiménez,
Universidad Nacional de Colombia Sede Medellín, (Auditorium Ángel Zapata Ceballos)
Lunch
14:00 - 14:30
Semiplenary: On the well-posedness of a Cauchy problem
associated with a Benjamin–Ono type equation: A talk in
honor of Professor Félix Soriano
- Richard de la Cruz, Universidad Pedagógica y Tecnológica
de Colombia
(Auditorium Ángel Zapata Ceballos).
14:35 - 15:05
Semiplenary: Controllability for a Boussinesq system of
BBM-BBM type with moving control
- Miguel Soto, Universidade Estadual de Rio de Janeiro,
Brazil
(Auditorium Ángel Zapata Ceballos)
15:10 - 15:40
Semiplenary: On explicit solutions for systems of partial
differential equations with variable coefficients through
Riccati-type systems
- Erwin Suazo, University of Texas in Rio Grande Valley, USA
(Auditorium Ángel Zapata Ceballos)
Coffee Break
16:00 - 16:20
Communication: Deterministic wave forecast
- David Andrade, Universidad del Rosario, Colombia
(Auditorium Chepe Escobar)
16:00 - 16:20
Communication: On the well-posedness of a Z–K type
equation on the cylinder - Guillermo Rodríguez, Universidad
Nacional de Colombia sede Bogotá (Math Library Longe)
16:25 - 16:45
Communication: The Cauchy problem associated with the
Hirota–Satsuma system
- Gerardo Loaiza, Universidad del Cauca, Colombia
(Auditorium Chepe Escobar)
16:25 - 16:45
Communication: Insensitizing controllability for the
Navier–Stokes system, a nonlinear parabolic system - Jefferson Prada, Pontificia
Universidad Católica de Chile (Math Library Longe)
16:50 - 17:10
Communication: Global behavior for the NLS with combined
nonlinear terms.
- Alex Rodríguez, Florida International University, USA
(Auditorium Chepe Escobar)
16:50 - 17:10
Communication: The periodic Cauchy problem for a
nonlinear system for surface waves - Ricardo Córdoba, Universidad de
Nariño, Colombia (Math Library Longe)
17:15 - 17:35
Communication: The Cauchy Problem Associated with the
rBO–ZK equation in Anisotropic Sobolev Spaces
- Fabián Sánchez, Universidad del Rosario, Colombia
(Auditorium Chepe Escobar)
17:15 - 17:35
Communication: Behaviors of perturbed solution in mKdV
and Gardner equations - Diana Nguyen Son, Florida
International University, USA (Math Library Longe)
Friday - 12/12/2025
07:00 - 08:00
Minicourses:
- Introductory Wellposedness Tools in Nonlinear
Dispersive PDEs
- Oscar Riaño, Universidad Nacional de Colombia Sede Bogotá
(Auditorium Chepe Escobar).
- Introduction to Control Theory of Evolution PDEs
- Fernando Gallego, Universidad Nacional de Colombia Sede
Manizales (Computer Laboratory).
08:00 - 08:40
Plenary: On solutions to interaction equations for short
and long dispersive waves
- Felipe Linares, IMPA, Brazil
(Auditorium Ángel Zapata Ceballos)
08:45 - 09:25
Plenary: Spectral properties of anharmonic oscillators
- Julio Delgado, Universidad del Valle, Colombia
(Auditorium Ángel Zapata Ceballos)
09:30 - 10:10
Plenary: Propagation of global analyticity and unique
continuation for semilinear wave equations
- Camile Laurent, Laboratoire de Mathématiques de Reims,
France
(Auditorium Ángel Zapata Ceballos)
Coffee Break
10:30 - 11:00
Semiplenary: Spectral inequality for the n-dimensional
Stokes operator with n-1 observation terms.
- Felipe Chaves, Universidade Federal de Paraiba, Brazil ((Auditorium Ángel Zapata Ceballos)
11:10 - 11:40
Semiplenary: The Benjamin–Ono Equation on the
Half-Line
- Liliana Esquivel, Universidad de Puerto Rico
(Auditorium Ángel Zapata Ceballos)
11:45 - 12:15
Semiplenary: Fractionary Benjamin-Bona-Mahony equation in
weighted Sobolev spaces
- Germán Fonseca,
Universidad Nacional de Colombia Sede Bogotá, (Auditorium Ángel Zapata Ceballos)
Lunch
14:00 - 14:30
Semiplenary: Asymptotic behavior and rigidity in
one-phase free boundary problems
- Daniel Restrepo, Johns Hopkins University, USA
(Auditorium Ángel Zapata Ceballos).
14:35 - 15:05
Semiplenary: The cubic NLS equation on looping-edge
grpahs with \detal'-interactions
- Alexander Muñoz, Universidade de Sao Paulo, Brazil
(Auditorium Ángel Zapata Ceballos)
15:10 - 15:40
Semiplenary: On the numerical approximation of KP-type
differential equations
- Juan Carlos Muñoz, Universidad del Valle, Colombia
(Auditorium Ángel Zapata Ceballos)
Coffee Break
16:00 - 16:20
Communication: Hybrid methods based on PINNs and Fourier
for the Generalized Korteweg–de Vries equation
- Rubén Dario Ortíz, Universidad de Cartagena, Colombia
(Auditorium Chepe Escobar)
16:00 - 16:20
Communication: A controllability result for the 2D
Benney–Luke equation - Alex Montes, Universidad del
Cauca, Colombia (Math Library Longe)
16:25 - 16:45
Communication: Weak solutions for a family of scalar
balance equations
- Julio del Carmen Lizarazo, Universidad Pedagógica y
Tecnológica de Colombia, Colombia
(Auditorium Chepe Escobar)
16:25 - 16:45
Communication: On a fifth-order nonlinear dispersive
equation of Benjamin type - Ricardo Pastran, Universidad
Nacional de Colombia Sede Bogotá (Math Library Longe)
16:50 - 17:10
Communication: Well-posedness and solitary waves in the
higher order KdV-type equations
- Chandler Haight, Florida International University, USA
(Auditorium Chepe Escobar)
16:50 - 17:10
Communication: Carleman estimate for semi-discrete
stochastic parabolic operators in arbitrary dimension and
applications to controllability - Manuel Fernando Prada,
Universidad Técnica Federico Santa Maria, Chile
(Math Library Longe)
Abstract Book and Slides
Download book
SCIENTIFIC
COMMITTEE
ORGANIZING
COMMITTEE
Practical Information
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Getting to Universidad del Valle, Cali
Universidad del Valle’s main campus,
Meléndez, is located in the southern
area of Cali and is easily accessible by the MIO public
transport system (Universidad Station), as well as by taxis
and ride-hailing services. From Alfonso Bonilla Aragón
International Airport, the campus is about a 40–50 minute
drive. The main entrance is located on Calle 13 and Carrera
100, where security personnel can assist with directions
inside the campus.
Key locations for the event
include:
Auditorium Ángel Zapata Ceballos
– Inauguration (located at
Bajos de Biblioteca Central).
Auditorium Chepe Escobar
– Main venue for talks.
Graduate Classrooms
– Sessions and mini-courses.
Third Floor, Sciences Building / Mathematics Department
– Additional talks and academic activities.
Recomended Hotel: NH CALI ROYAL HOTEL
The NH Cali Royal Hotel is our
recommended accommodation for participants attending the Second
Colombian Workshop on Nonlinear Dispersive Equations. Located in
the south of Cali, next to the Holguines Trade Center and just a
few minutes from Universidad del Valle, the hotel offers modern
rooms, an outdoor swimming pool, a fitness center, and excellent
dining options.
Through the following link,
participants will have the possibility to make their reservation
with a special rate negotiated in agreement with Universidad del
Valle:
Things to Do in Cali:
1. Cali Salsa Experience
Discover
why Cali is known as the
Salsa Capital of the World. This
experience offers professional dance classes, live music, and
immersive cultural sessions where visitors can learn the basics—or
refine their skills—in an authentic local environment.
2. Yawa Cali
An Afro-Colombian cultural hub offering dance workshops,
musical performances, and community-based artistic experiences.
Yawa Cali connects visitors with the rich heritage, rhythms, and
traditions of the Pacific region.
3. El Mulato Cabaret
A legendary salsa venue founded by world-renowned dancer
Luis Eduardo “El Mulato” Hernández. Visitors can enjoy vibrant
shows on Wednesday nights and energetic Friday Swing Nights, with
live performances and some of the best dancers in the city.
4. Museo La Tertulia
Cali’s most iconic modern art museum, featuring rotating
exhibitions, film screenings, workshops, and cultural events. A
must-visit spot for art lovers seeking contemporary Colombian and
international perspectives.
5. Ecoparque Cristo Rey
A natural and cultural landmark offering ecological trails,
panoramic views of Cali, and access to the emblematic Cristo Rey
monument. Visitors must complete a simple registration process
before entering the ecopark.
6. Suggested Places to Visit in Cali
- Barrio San Antonio: A historic
neighborhood known for its colonial architecture, cafés, local
handicrafts, and vibrant nightlife.
- Bulevar del Río Cali:
A pedestrian-friendly riverside area ideal for walking, enjoying
local street food, and exploring cultural spots.
Previous Workshop:
1st Colombian Workshop in Nonlinear Dispersive Equations -
Manizales 2022
The
1st Colombian Workshop in Nonlinear Dispersive Equations occurred in Manizales, Colombia, from November 29th to
December 2nd. This event aimed to bring together researchers,
graduate students, and experts in the field of nonlinear
dispersive equations, fostering collaboration and knowledge
exchange.
The workshop featured plenary talks,
contributed sessions, and discussion panels covering topics
such as:
- Well-posedness and qualitative
properties of dispersive PDEs
- Control theory and
stabilization of wave-like equations
- Numerical and
analytical approaches to dispersive models
- Applications
in physics and engineering
The event, which
included national and international speakers, sought to
strengthen the mathematical research community in Colombia and
beyond by promoting the study of nonlinear dispersive
equations and their applications.
