Browsing by Author "XX676619"
Now showing items 1-20 of 27
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(ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 2008-12)We consider the Allen–Cahn equation u +u 1− u2 =0 inRN. A celebrated conjecture by E. De Giorgi (1978) states that if u is a bounded solution to this problem such that ∂xNu>0, then the level sets {u=λ}, λ ∈R, ...
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(ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER, 2008-12)We consider the Allen-Cahn equation Delta u + u(1 - u(2)) = 0 in R-N. A celebrated conjecture by E. De Giorgi (1978) states that if u is it bounded Solution to this problem Such that partial derivative(xN) u > 0, then ...
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(Universidad de Chile, 2012)Este trabajo de memoria de título presenta un estudio de la ecuación de perturbación singular de Allen-Cahn con inhomogeneidad: \begin{equation}\ep^2\div\left(a(x)\cdot\nabla_{x}u(x)\right)+a(x)f(u(x))=0,\quad\text{ en ...
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(Universidad de ChilePrograma Cybertesis, 2007)
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(Universidad de ChilePrograma Cybertesis, 2008)
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Existence and asymptotic behavior of solutions to semilinear elliptic problems via reduction methods (Universidad de Chile, 2012)Este trabajo se concentra principalmente en estudiar el método de reducción de Lyapunov-Schmidt y sus aplicaciones al estudio de existencia de soluciones a problemas semilineales elípticos. En particular, utilizamos ...
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(World Scientific Publishing, 2020)In this paper, we describe domain walls appearing in a thin, nematic liquid crystal sample subject to an external field with intensity close to the Freedericksz transition threshold. Using the gradient theory of the phase ...
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(Universidad de ChilePrograma Cybertesis, 2007)El objetivo de esta memoria es utilizar el método de perturbaciones singulares para probar existencia de ground states y soluciones singulares en ecuaciones elípticas no-lineales. .
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(EDP Sciences, 2015)We construct weak global in time solutions to the classical Keller-Segel system describing cell movement by chemotaxis in two dimensions when the total mass is below the established critical value. Our construction takes ...
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(2010-11)Let (M, ˜g) be an N-dimensional smooth (compact or noncompact) Riemannian manifold. We introduce the elliptic Jacobi-Toda system on (M, ˜g). We review various recent results on its role in the construction of solutions ...
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(Amer Physical Soc, 2016)By sending a light beam on a homeotropic nematic liquid-crystal cell subjected to a voltage with a photosensitive wall, a stable matter vortex can be induced at the center of the beam. When the applied voltage is decreased, ...
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(2010)We construct a new class of entire solutions for the Allen-Cahn equation u + (1 u2)u = 0, in R2( C). Given k 1, we nd a family of solutions whose zero level sets are, away from a compact set, asymptotic to 2k ...
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(Universidad de Chile, 2015)Esta tesis está enfocada en el estudio de singularidades de fase en el contexto de auto organización en sistemas fuera del equilibrio. Nuestra investigación estuvo focalizada en comprender el surgimiento de vórtices en una ...
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(London Mathematical Society, 2008)We consider the Ginzbug–Landau energy in a cylinder in R3, and a canonical approximation for critical points with an assembly of n 2 periodic vortex lines near the axis of the cylinder. We find a formula for the energy ...
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(SIAM PUBLICATIONS, 2006)We consider the problem epsilon(2)Delta u + (u - a(x))(1 - u(2)) = 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth and bounded domain in R-2, - 1 < a( x) < 1. ...
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(Springer, 2013)This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincar´e, logarithmic Sobolev and critical Sobolev ...
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(Taylor & Francis, 2015)The Allen-Cahn equation - Delta u = u - u (3) in DOUBLE-STRUCK CAPITAL R-2 has family of trivial singly periodic solutions that come from the one dimensional periodic solutions of the problem -u '' =u - u (3). In this paper ...
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(Universidad de ChileCyberDocs, 2010)En este trabajo de memoria se demostró un teorema de existencia para la ecuación de Liouville con condición de borde no lineal: El primer paso en esta demostración consiste en la aproximación del problema original usando ...
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(Springer, 2018-06)In this paper we study qualitative properties of global minimizers of the Ginzburg-Landau energy which describes light-matter interaction in the theory of nematic liquid crystals near the Freedericksz transition. This model ...
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(American Physical Society, 2014)The existence, stability properties, and bifurcation diagram of the nematic umbilical defects is studied. Close to the Fr´eedericksz transition of nematic liquid crystalswith negative anisotropic dielectric constant and ...
