Browsing by Author "Kowalczyk, Michal"

Now showing items 1-10 of 10

    • A singular perturbation problem modelling amplitude walls of striped patterns 
      Monreal Bernal, Javier Armando (Universidad de Chile, 2023)
      El presente trabajo estudia el sistema de ecuaciones diferenciales que como modela el choque y transici´on de patrones rayados a trav´es de una pared de dominio utilizando como modelo las ecuaciones de amplitud. En el ...
    • Allen-Cahn equation as a model for phases of apple chimera 
      Marullaz, Antoine (Universidad de Chile, 2022)
      El objetivo del presente trabajo es encontrar un modelo matem´atico que pueda encajar un fen´omeno biol´ogico poco com´un y sorprendente: el quimerismo. Para ello pretendemos utilizar la ecuaci´on de Allen-Cahn sobre ...
    • Critical points of the regular part of the harmonic Green function with Robin boundary condition 
      Dávila, Juan; Kowalczyk, Michal; Montenegro, Marcelo (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008-09-01)
      In this paper we consider the Green function for the Laplacian in a smooth bounded domain Omega subset of R-N with Robin boundary condition partial derivative G(lambda)/partial derivative nu + lambda b(x)G(lambda) = 0, ...
    • Delaunay solutions to the Cahn-Hilliard equations 
      Hernández Uribe, Álvaro Andrés (Universidad de Chile, 2017)
      En esta tesis doctoral se construyen soluciones rotacionalmente simétricas de la ecuación de Cahn-Hilliard en $ \R{^d} $ y se estudian sus propiedades de estabilidad. En el Capítulo \ref{ch1} se presenta la ecuación de ...
    • Improved interpolation inequalities on the sphere 
      Dolbeault, Jean; Esteban, María J.; Kowalczyk, Michal; Loss, Michael (American Institute Of Mathematical Sciences, 2014)
      This paper contains a review of available methods for establishing improved interpolation inequalities on the sphere for subcritical exponents. Pushing further these techniques we also establish some new results, ...
    • Kinks of the sine-gordon equation on a wormhole 
      Díaz Arias, Brayn Axl (Universidad de Chile, 2023)
      In this thesis we study the stationary Sine-Gordon equation on a wormhole (SGWH) with parameter $a$. Specifically, we establish some results for the stationary Sine-Gordon (SG) equation in flat spacetime and its kink ...
    • Partial symmetries on topological dynamics and spectral theory 
      Flores Llarena, Felipe Ignacio (Universidad de Chile, 2022)
      The main focus of this thesis is the study of dynamical systems governed by partially defined transformations. Two distinct cases are studied: continuous groupoid actions on topological spaces and continuous partial group ...
    • Vortices in the anisotropic Ginzburg-Landau equation for thin nematic liquid crystal cells 
      Gómez Araya, Camilo Francisco (Universidad de Chile, 2020)
      In this thesis, a version of the anisotropic Ginzburg-Landau equation is studied as a model of defects in thin cells of nematic liquid crystals. This thesis is composed of 6 chapters and 2 appendices. The first 3 chapters ...
    • Vortices induced by electric and magnetic field and topological transitions in out of equilibrium systems 
      Zambra Aguirre, Valeska Tatiana (Universidad de Chile, 2020)
      Electrically driven nematic liquid crystal layers are ideal platform for studying the interactions of local topological defects, called vortices or umbilical defects. This thesis is devoted to experimentally and theoretically ...
    • Vortices induced by topological forcing in nematic liquid crystal layers 
      Calisto Leiva, Enrique Augusto (Universidad de Chile, 2019)
      In two-dimensional systems, dissipative vortices are described by a complex Ginzburg-Landau equation (CGLE) which has a universal character and describes such different systems as fluids, superfluids, superconductors, ...