[July 21–25, 2025]. Variational Problems of Physical Origin, session at the Mathematical Congress of the Americas 2025. Department of Mathematics, University of Miami.
Organizers: Duvan Henao and Robert Jerrard
Andrés Contreras (New Mexico State University) Local minimizers with unbounded vorticity in 2d Ginzburg-Landau
Tiziana Giorgi (University of Alabama) Analysis and simulation of cholesteric and twist bend nematic liquid crystals.
Pedro Hernandez (Universidad de O'Higgins) Poroelastic plate model obtained by simultaneous homogenization and dimension reduction
Marta Lewicka (University of Pittsburgh) The Monge-Ampere system in dimension two is fully flexible in codimension two
Andrew Lorent (University of Cincinnati) Non-Elliptic differential inclusions and Aviles Giga
Rajesh Mahadevan (Universidad de Concepción) Shape sensitivity analysis for a liquid crystal model
Lidia Mrad (Mount Holyoke College) Constrained Energy Minimization for a Bent-Core Liquid Crystal Model
David Padilla-Garza (Hebrew University of Jerusalem) Energy scaling laws for thin elastic sheets with defects
Guanying Peng (Worcester Polytechnic Institute) A regularizing property of the 2D Eikonal equation
Carlos Román (Pontificia Universidad Católica de Chile) Domain Branching in Micromagnetism
Ivan Salgado (University of Toronto) Approximate solutions to the superconducting interface model
Ihsan Topaloglu (Virginia Commonwealth University) Perimeter regularization of attractive-repulsive nonlocal energies
Xiaodong Yan (University of Connecticut) Layer and stable solutions to a nonlocal model
Andrés Zúñiga (Universidad de O’Higgins) Stability of tetrahedral frame-field ground states for a tensor-valued relaxed variational model
[Dec 10-13, 2024]. Sesión Especial S01 Análisis Geométrico.
XCII Encuentro Anual Sociedad de Matemática de Chile (SOMACHI). Facultad de Ciencias. Universidad Austral de Chile (UACh)
Organizers: Nikola Kamburov and Andres Zuniga.
Mariel Sáez-Trumper (PUC): Classification of semigraphical translators.
Rayssa Caju (DIM-CMM): An end-to-end construction for the Q-curvature equation.
Duvan Henao Manrique (UOH): Dimension reduction for a gradient damage model in slender rods.
Pablo Figueroa (UACh): Sign-changing solutions for the sinh-Poisson equation with Robin boundary condition.
Reshmi Biswas (USM): On a class of nonlinear elliptic equations in critical dimensions.
Carlos Román (PUC): Sobre el estado Meissner en superconductores inhomogéneos de tipo II.
Andrés Zúñiga (UOH): Pearl necklace-type equilibria in a nonlocal isoperimetric problem.
Nicolás Muñoz León (USM): Un problema de evolución con el infinito Laplaciano fraccionario.
Jorfe Faya (UACh): Concentrating solutions for a biharmonic problem.
Pedro Gaspar (PUC): Solutions of the Allen-Cahn equation on closed manifolds in the presence of symmetry.
María Fernanda Espinal Florez (CMM): Constant sigma2-curvature metrics with non isolated singularities.
Rodolfo Viera (U. La Serena): Soluciones para la ecuación de forma de volumen prescrita en regularidad intermedia.
Pedro Montero (USM): Resultados de concentración para métricas conformes de Q-curvatura constante.
Víctor Valencia Hernández (PUC): Teorema de Frankel en variedades convexas.
Rajesh Mahadevan (UDEC): Shape sensitivity analysis for a liquid crystal model.
[Nov 21-22, 2024] Geometric Analysis Workshop in O'Higgins.
Organizers: Duvan Henao and Andres Zuniga.
Sponsors: Universidad de O'Higgins (UOH)
Participants:
Riccardo Cristoferi (Radboud Universiteit; online): NONLOCAL ATTRACTIVE-REPULSIVE ENERGIES.
Enrico Valdinoci: (U.of Western Australia; online) SHEET HAPPENS (BUT ONLY AS THE ROOT OF 1-S).
Sophie Aiken (UCSC): RECENT PROGRESS ON THE FRACTIONAL YAMABE PROBLEM.
Carolina Rey (USM): EINSTEIN MULTIPLY WARPED PRODUCTS AND GENERALIZED KASNER MANIFOLDS WITH MULTIDIMENSIONAL BASE.
Salomón Alarcón (USM): FENÓMENOS DE CONCENTRACIÓN PARA MÉTRICAS CONFORMES DE Q-CURVATURA CONSTANTE.
María Fernanda Espinal (CMM): ON THE EXISTENCE AND CLASSIFICATION OF K-YAMABE GRADIENT SOLITONS.
Rajesh Mahadevan (UdeC): SHAPE SENSITIVITY ANALYSIS FOR A LIQUID CRYSTAL MODEL.
Nikola Kamburov (PUC): PERIODIC GLOBAL SOLUTIONS TO THE BERNOULLI ONE-PHASE FREE BOUNDARY PROBLEM.
Leonelo Iturriaga (USM): EXISTENCIA Y MULTIPLICIDAD DE SOLUCIONES POSITIVAS PARA UN PROBLEMA CUASILINEAL CON CONDICIONES DE BORDE DIRICHLET NO HOMOGÉNEAS.
Pedro Gaspar (PUC): SOME PROBLEMS IN MEAN CURVATURE FLOW AND ABOUT THE VOLUME SPECTRUM.
Jessica Trespalacios (CMM): SOLITONS DYNAMICS FOR EINSTEIN EQUATIONS.
[Sept 24, 2024] Primera Jornada de Ecuaciones en Derivadas Parciales en O'Higgins.
https://eventos.cmm.uchile.cl/pde-uoh-2024/
Organizers: Claudio Muñoz, Ricardo Freire, Duvan Henao and Andres Zuniga.
Sponsors: Universidad de O'Higgins (UOH) and Center for Mathematical Modeling (CMM).
Participants:
Lisbeth Carrero (postdoc UOH): Periodic solutions for one-dimensional nonlinear nonlocal problem with drift.
Panas Kalayanamit (postdoc UOH): My research interests in the Calculus of Variations.
Pedro Hernández (postdoc UOH): Poroelastic plate model obtained by simultaneous homogenization and dimension reduction.
Sesiones de poster alumnos de magíster DIM:
Rodrigo Altamirano.
Benjamin Borquez.
Ricardo Ziegele.
Claudio Muñoz (DIM - CMM): Three interesting directions in PDEs.
Hanne Van den Bosch (DIM - CMM): Física-Matemática y teoría espectral.
Rayssa Caju (DIM - CMM): Large conformal metrics with prescribed Gauss and geodesic curvatures.
Franco Olivares (UOH): On some isoperimetric inequalities in the non-local setting.
Javier Monreal (doctorante DIM): On uniqueness techniques for two non-linear problems.
Juan Pablo Cabeza (doctorante DIM): Unique continuation via regularity theory.
Nicolás Valenzuela (doctorante DIM): Error bounds for Physiscs Informed Neural Networks in nonlinear Schrödinger equations placed on unbounded domains.
Sebastián Flores (doctorante DIM): Conjetura de Landis para operadores elípticos no-locales.
Vicente Salinas (doctorante DIM): The Riemann Zeta in PDEs.
Andrés Zúñiga (UOH): Delaunay-type compact equilibria in the liquid drop model.
Duvan Henao (UOH): Modelo de daños para ensayos de compresión uniaxial.
María Fernanda Espinal (CMM).
Jessica Trespalacios (DIM).
Ricardo Freire (DIM).
[Apr 24-26, 2024]. Sesión Especial S11 Cálculo de Variaciones y Ecuaciones Diferenciales Parciales.
XXXVI Jornada de Matemática de la Zona Sur (JMZS 2024). [Scientific Committee] Departamento de Ciencias Matemáticas y Físicas. Universidad Católica de Temuco (UCT)
Organizer: Andres Zuniga.
Juan Carlos Pozo (UCH): Velocidad de Invasión de una ecuación de evolución fraccionaria en tiempo con término de reacción.
Ricardo Castillo (UBB): On a second critical value for the local existence of solutions in Lebesgue spaces.
Ricardo Freire (UCH - DIM): The Cauchy problem for nonlinear dispersive models of long internal waves in the presence of the Coriolis force.
Pedro Gaspar (PUC): Curvature and geometric obstructions for phase transitions.
Rayssa Caju (UCH - DIM): Large conformal metrics with prescribed gauss and geodesic curvatures.
Panas Kalayanamit (UOH): Minimising the neo-Hookean energy without cavitation.
Carolina Rey (USM): Multiplicity results for constant Q-curvature conformal metrics.
Andrés Zúñiga (UOH): Stability analysis of entire one-degree solutions to an anisotropic Ginzburg-Landau equation.
Nikola Kamburov (PUC): Nondegeneracy and stability in the one-phase singular perturbation problem.
Nicolás Barnafi (PUC): Cristales líquidos p-nemáticos.
Rajesh Mahadevan (UDEC): Mean-field theory for a general class of short-range interaction functionals.
[Apr 19-21, 2023]. Sesión Especial S14 Cálculo de Variaciones y EDP.
XXXV Jornada de Matemática de la Zona Sur (JMZS 2023). [Scientific Committee] Universidad de Concepción (UDEC)
Organizer: Andres Zuniga.
Leonelo Iturriaga (USM): Schrödinger equations involving weights and potentials with a sort of coercivity.
Rajesh Mahadevan (UDEC): The Pólya-Szegö inequality for the Steiner symmetrization in the nonlocal setting and some recent applications.
Juan Carlos Pozo (UCH): Decay rate for the wave equation with viscoelastic boundary damping.
Rodolfo Viera Quezada (PUC): On point configurations, distortion and PDEs.
Lisbeth Carrero (UOH): Periodic fractional Ambrosetti-Prodi for a one-dimensional problem.
Mircea Petrache (PUC): Reconstruction of discrete Fourier spectrum in general groups, from random perturbations.
Carlos Román (PUC): The ocurrence of branch microestractures in micromagnetism.
Hernán Castro (UTAL): Some regularity results for a degenerate quasilinear elliptic equation.
Renjith Thazhathethil (Indian Institute of Science): Homogenization with strong contrasting diffusivity in a circular oscillating domain with L1 source term.
Hanne Van Den Bosch (UCH - DIM): A Keller-Lieb-Thirring inequality for Dirac operators.
Duvan Henao (UOH): Desprendimiento de hidrogeles delgados.
Carlo Santana Rosas (U. Nacional de Ingeniería, UNI, Perú): Condiciones de optimalidad para una clase de problemas de cálculo de variaciones en horizonte infinito.
[May 6, 2022]. Encuentro informal: Postgrado en ecuaciones en derivadas parciales.
Organizers: Duvan Henao and Andres Zuniga. Universidad de O'Higgins (UOH).
Jessica Trespalacios (UCH- DIM): Global existence and long time behavior in the 1+1 dimensional principal chiral model with applications to solitons.
Javier Castro (UCH - DIM): The Kolmogorov infinite dimensional equation via deep learning methods.
Nicolás Valenzuela (UCH - DIM): A new approach for the fractional Laplacian via deep neural networks.
[Apr 26-29, 2022]. Sesión Especial S4 Cálculo de Variaciones.
XXXIV Jornada de Matemática de la Zona Sur (JMZS 2022). [Scientific Committee] Universidad de Los Lagos.
Organizer: Duvan Henao and Rajesh Mahadevan.
Alberto Montero: Frame fields and tensor products.
Carlos Román (PUC): Líneas de vorticidad en el modelo de superconductividad 3D de Ginzburg-Landau.
Sergio Gutiérrez (PUC): Uso del análisis multiescala en problemas de Ingeniería Civil.
Stefano Nardulli: Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed paralelizable manifolds.
Rajesh Mahadevan (UDEC): A Faber-Krahn inequality for the Riesz potential operator for triangle and quadrilaterals.
Nicolás Valenzuela (UCH - DIM): Una nueva visión del Laplaciano fraccionario vía redes neuronales profundas.
Leyter Potenciano: Un problema inverso de dispersión de ángulo fijo.
Mariel Sáez (PUC): Eigenvalue bounds for the Paneitz operator and its associated third-order boundary operator on locally conformally flat manifolds.
Daniel Pons (UNAB): Desigualdades de masa-energía en varios contextos.
Haliaphne Acosta (USACH): Acercamiento a las medidas de Young y sus aplicaciones a Ecuaciones Diferenciales Parciales.
Mircea Petrache (PUC): Capacity, random walks and traps.
Duvan Henao (UOH): Debonding of a gel from a rigid substrate.
Javier Ramírez: On damage models for the simulation of underground mining by block caving.
Andrés Zúñiga (UOH): A nonlocal isoperimetric problem: density perimeter.
Javier Castro (UCH - DIM): The Kolmogorov infinite dimensional equation via deep learning methods.
Ravi Prakash (UDEC): The monotonicity principle for nonlinear electrical conductivity tomography.
[Dec 15-17, 2021]. Sesión Especial S06 Problemas Variacionales y Ecuaciones en Derivadas Parciales.
LXXXIX Encuentro Anual Sociedad de Matemática de Chile (SOMACHI). [Organizing Committee] Universidad de O'Higgins (UOH)
Organizers: Duvan Henao and Andres Zuniga.
Carlos Román (PUC): Vortex lines in the 3D Ginzburg-Landau model of superconductivity.
Marcos Rojas-Medar (UTA): Problemas de inicialización para el problema de Boussinesq.
Claudio Muñoz (UCH - DIM): Asintótica de grandes soluciones en los modelos de Kadomtsev-Petviashvili.
Xavier Lamy (U.Toulouse III): Vórtices de grado negativo para Ginzburg-Landau anisotrópico.
Patricio Cerda (USACH): Existence of solutions for quasilinear equations involving local conditions.
Mariel Sáez-Trumper (PUC): Uniqueness of entire graphs evolving by mean curvature flow.
Alexander Quaas (USM): Large-time behavior of unbounded solutions of the viscous Hamilton-Jacobi equation.
Carolina Rey (USM): Ecuaciones no-locales con exponente crítico en variedades Riemannianas compactas.
Juan Carlos Pozo (UCH): Algunos resultados sobre la ecuación de difusión ultra-lenta.
Michal Kowalczyk (UCH - DIM): Phase separating solutions for two-component systems in general planar domains.
Renato Velozo (U.Cambridge): Stability of Schwarzchild for spherically symmetric Einstein-Massless Vlasov system.
Pedro Ubilla (USACH): Elliptic systems involving sublinear and superlinear nonlinearities.
Mircea Petrache (PUC): Formas óptimas en el problema isoperimétrico y transporte óptimo en el caso discreto.
Rajesh Mahadevan (UDEC): On some isoperimetric inequalities in the nonlocal setting.
Hanne Van Den Bosch (UCH - DIM): The nonlinear Dirac equation with Soler-type nonlinearity.