Browsing by Author "XX676619"

Now showing items 21-27 of 27

    • Theory of light-matter interaction in nematic liquid crystals and the second Painlevé equation 
      Clerc Gavilán, Marcel; Dávila Bonczos, Juan; Kowalczyk, Michal; Smyrnelis, Panayotis; Vidal Henríquez, Estefanía (Springer, 2017)
      We study global minimizers of an energy functional arising as a thin sample limit in the theory of light-matter interaction in nematic liquid crystals. We show that depending on the parameters various defects are predicted ...
    • The Toda system and clustering interfaces in the Allen-Cahn equation 
      Pino Manresa, Manuel del; Kowalczyk, Michal; Wei, Juncheng (Springer Berlin, 2008-10)
      We consider the Allen-Cahn equation "2 u+(1−u2)u = 0 in a bounded, smooth domain in R2, under zero Neumann boundary conditions, where " > 0 is a small parameter. Let 􀀀0 be a segment contained in , connecting ...
    • The Toda system and multiple-end solutions of autonomous planar elliptic problems 
      Pino Manresa, Manuel del; Kowalczyk, Michal; Pacard, Frank; Wei, Juncheng (2010)
      We construct a new class of positive solutions for the classical elliptic problem ¢u ¡ u + up = 0; p > 2; in R2: We establish a deep relation between them and the following Toda system c2f00 j = efj¡1¡fj ¡ efj¡fj+1 in ...
    • Topological transitions in an oscillatory driven liquid crystal cell 
      Clerc Gavilán, Marcel; Kowalczyk, Michal; Zambra, Valeska (Nature, 2020)
      Matter under different equilibrium conditions of pressure and temperature exhibits different states such as solid, liquid, gas, and plasma. Exotic states of matter, such as Bose-Einstein condensates, superfluidity, chiral ...
    • Transversal Instability for the Thermodiffusive Reaction-Diffusion System 
      Kowalczyk, Michal; Perthame, Benoit; Vauchelet, Nicolas (Shanghai Scientific Technology Literature, 2015)
      The propagation of unstable interfaces is at the origin of remarkable patterns that are observed in various areas of science as chemical reactions, phase transitions, and growth of bacterial colonies. Since a scalar equation ...
    • Travelling fronts in stochastic Stokes' drifts 
      Blanchet, Adrien; Dolbeault, Jean; Kowalczyk, Michal (ELSEVIER, 2008-10-01)
      By analytical methods we study the large time properties of the solution of a simple one-dimensional model of stochastic Stokes' drift. Semi-explicit formulae allow us to characterize the behaviour of the solutions and ...
    • Variational reduction for Ginzburg-Landau vortices 
      Pino Manresa, Manuel del; Kowalczyk, Michal; Musso, Mónica (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2006-10-15)
      Let Omega be a bounded domain with smooth boundary in R-2. We construct non-constant solutions to the complex-valued Ginzburg-Landau equation epsilon(2)Delta u + (1 - vertical bar u vertical bar(2))u = 0 in Omega, as epsilon ...