Upcoming activities

• [Jan 22, 2025] Synergies between analysis, geometry, mechanics, and topology in nonlinear elasticity theory. Duvan Henao. Jack Carr Memorial Lecture, International Centre for Mathematical Sciences, Edinburgh [Abstract] [Slides]

Recent activities

• [Jan 15, 2025] Swelling-induced debonding of polymer gels. Duvan Henao. Heriot-Watt Analysis Seminar, Edinburgh, U.K. [Abstract] [Slides]

• [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. 

• 1. • 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.

JAG-OH website 

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.

• [Oct 23, 2024; 12:00hrs]. Fundamental solutions for non-local evolution problems. Juan Carlos Pozo (Universidad de Chile) CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Slides]

• [Oct 15, 2024] Application of gradient damage models to the study of subsidence in underground mining. Duvan Henao. Mathematical Materials Science: Defects and Polycrystals, International Centre for Mathematical Sciences, Edinburgh, U.K. [Abstract]

• [Sept 24, 2024]  1st Partial Differential Equations Workshop in 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: 

  1. • 1. • 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).

• [Sept 12, 2024; 13:30hrs]. Delaunay-like compact equilibria in a nonlocal isoperimetric problem. Andres Zuniga. Coloquio de Matemáticas (San Joaquín). Universidad Técnica Federico Santa María. [Abstract] 

• [Aug 26-30, 2024]. Periodic fractional Ambrosetti-Prodi for one-dimensional problem with drift. Lisbeth Carrero. VII Congreso Latinoamericano y del Caribe de Matemática  (CLAM 2024) , Joao Pessoa/PB, Brasil. [Poster] 

• [Aug 26, 2024; 12:00hrs]. Fundamental tools for solving discretized equations in image segmentation. Franco Olivares. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] 

• [Aug 22, 2024; 12:00hrs]. Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in R^n. Alexander Quaas (Universidad Técnica Federico Santa María). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] 

• [July 29, 2024; 11:00hrs]. Asymptotic theory for a general class of short-range interaction functionals. Rajesh Mahadevan (Universidad de Concepción). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] 

• [July 10, 2024; 10:20hrs]. Delaunay-like compact equilibria in the liquid drop problem. Manuel del Pino (University of Bath). CalcVar & PDE Seminar, Universidad de O'Higgins [Abstract] 

• [July 05, 2024; 15:15hrs]. Construction of Delaunay-like compact equilibria in a nonlocal isoperimetric problem. Andres Zuniga.  Jornadas de Análisis Geométrico en Valparaíso (JAGV). Universidad Técnica Federico Santa María. [Abstract] 

• [June 11, 2024] Harmonic dipoles in nonlinear elasticity. Duvan Henao. Geometric And Variational Analysis, In Memory of Jan Malỳ, Będlewo, Poland [Abstract] [Slides]

• [June 06, 2024; 16:10hrs]. Geometric construction of minimizers to least gradient problems: the density case. Andres Zuniga. Seminario de Análisis y Geometría, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [Abstract] [Slides]

• [May 29, 2024; 10:20hrs]. A variational PDE approach inspiring an efficient algorithm for data clustering and image segmentation - part I: theoretical aspects. Andres Zuniga. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] 

• [May 19, 2024] Relaxation of the Neo-Hookean Energy in Three Dimensions. Duvan Henao. Interaction of Solid Mechanics and Mathematics: Modelling, Analysis and Applications, SIAM Conference on Mathematical Aspects of Materials Science. [Slides]

• [Apr 25, 2024]. Minimising the neo-Hookean energy without cavitation. Panas Kalayanamit. XXXVI Jornada de Matemática de la Zona Sur (JMZS 2024). Universidad Católica de Temuco (UCT) [Abstract] [Slides] 

• [Apr 25, 2024]. Stability of degree-one solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. XXXVI Jornada de Matemática de la Zona Sur (JMZS 2024). Universidad Católica de Temuco (UCT) [Abstract] [Slides] 

• [Apr 22, 2024; 15:30hrs]. Hydrodynamic limits and hypocoercivity for kinetic equations with heavy tails. Emeric Bouin (Université Paris Dauphine). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Slides] 

• [Apr 17, 2024]. Stability of degree-one solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. Coloquio Departamento de Matemáticas. Universidad de Concepción. [Abstract] [Slides] 

• [Apr 17, 2024] Jacobian determinants and degree theory in nonlinear elasticity and its applications. Duvan Henao. International Conference on Mathematical Analysis and its Applications, Hong Kong Institute for Advanced Study. [Abstract] [Slides]

• [Apr 10, 2024] On a class of quasilinear fractional operators. Lisbeth Carrero. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides] 

• [Apr 8, 2024] Nonlinear diffusions, entropies and stability in functional inequalities. Jean Dolbeault (Université Paris Dauphine). CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides] 

• [Apr 4, 2024]. Stability analysis of entire radial solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. Workshop Nonlinear Analysis: Geometric, Variational and Dispersive aspects. Centro de Modelamiento Matemático (CMM) , Universidad de Chile. [Abstract] [Slides] 

• [Jan 26, 2024] Singular minimizers in nonlinear elasticity. Duvan Henao. Colloquium of the Department of Mathematics & Statistics, McMaster University. [Abstract] [Slides]

• [Dec 21, 2023] Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities. Lisbeth Carrero. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract]

• [Dec 21, 2023] Condición angle-bounded para las ecuaciones de FitzHugh-Nagumo en electrofisiología cardíaca. Joaquín Oyarzún. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Dec 20, 2023] Rectifiability of the set of minimizers for a perturbed quasiconvex integral. Panas Kalayanamit. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Dec 20, 2023] Poroelastic plate model obtained by simultaneous homogenization and dimension reduction, Pedro Hernández-Llanos. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Dec 20, 2023] Symmetry and symmetry breaking in weighted logarithmic Sobolev inequalities. Andres Zuniga. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Dec 18, 2023] A relaxation approach to the minimisation of the neo-Hookean energy in 3D. Duvan Henao. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract]  [Slides] 

• [Dec 11, 2023] On Some Isoperimetric Inequalities Involving Nonlocal Operators. Franco Olivares. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides] 

• [Nov 27, 2023] Energy-prescribed connecting orbits of gradient systems, Andres Zuniga. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides] 

• [Nov 9, 2023] Propagación del caos y la ecuación de McKean-Vlasov: Implicancias y aplicaciones en construcción de nicho, Cristóbal Quiñinao, XXIX Encuentro de la Sociedad de Ecología de Chile, Olmué, Chile. [Abstract] 

• [Oct 13, 2023] Implementación numérica para la resolución de un problema variacional no local, Xavier Carrera. Master thesis defense, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [mat.uc.cl] [ici_uoh]

• [Sep 1, 2023] Angle-Bounded condition for FitzHugh-Nagumo equations in cardiac electrophysiology, Joaquín Oyarzún. Master thesis defense, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [mat.uc.cl] [ici_uoh]