FONDECYT Postdoctoral N° 3240062. Existence and Periodicity Results of Solutions for Local and Nonlocal PDEs of Semilinear type (Apr. 2024 - Mar. 2027). Principal Investigator: Lisbeth Carrero Zerpa. Role: Sponsor Investigator (SI). Funding: ANID, Chile (Agencia Nacional de Investigación y Desarrollo). Sponsoring Institution: University de O'Higgins (UOH).
FONDECYT Initiation N° 11201259. Qualitative Properties of Weighted and Anisotropic Variational Problems (Nov. 2020 - Oct. 2023). Role: Principal Investigator (PI). Funding: ANID, Chile (Agencia Nacional de Investigación y Desarrollo). Sponsoring Institution: University de O'Higgins (UOH).
[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.
[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.