Noticias en español
Well-posedness and long time behavior for the Schrödinger-Korteweg-de Vries interactions on the half-Line
Abstract: In this talk we discuss about the initial-boundary value problem for the Schrödinger-Korteweg-de Vries system on the left and right half-line for a wide class of initial-boundary data, including the energy regularity H1(R±) × H1(R±) for initial data. Assuming homogeneous boundary conditions it is shown for positive coupling interactions that local solutions can be extended globally in time for initial data in the energy space; furthermore, for negative coupling interactions it was proved, for a certain class of regular initial data, the following result: if the respective...
Read MoreResonances in deformed tubes: twisting and bending & Gross-Pitaevskii equation and integrable systems
16:00 hrs. Expositor Pablo Miranda, (USach) Título Resonances in deformed tubes: twisting and bending Abstract: In this talk we will consider an infinite straight tube and we will deform it by a periodic twisting and a local bending. On the deformed tube we will define the Laplacian and will study the existence of scattering resonances created by the deformations. We will show the existence of exactly one resonance or one eigenvalue near the bottom of the essential spectrum, depending on the strength of the twisting and the bending. We will also obtain the asymptotic behavior of the...
Read MoreAn approach to optimality in convex optimization via some new Moreau- Rockafellar type formulas for the subdifferential of the supremum function.
Abstract: We present different characterizations of the subdifferential of the supremum function of finitely and infinitely indexed families of convex functions under weak continuity assumptions. The resulting formulas are given in terms of the exact subdifferential of the data functions at the reference point, and not at nearby points. Based on these characterizations we give new Fritz-John and KKT-type optimality conditions for semi-infinite convex optimization, dropping out the typical continuity/closedness assumptions which are usual in the literature. The presentation is a selection of...
Read MoreConfort y la calidad climática en el Espacio Público. Estudio de caso: ciudad de Chillán, Chile
Seminarios de la Alianza Copernicus-Chile Titulo Confort y la calidad climática en el Espacio Público. Estudio de caso: ciudad de Chillán, Chile Expositor Pamela Smith U. de Chile Sala: Sala Multimedia, Centro de Modelamiento Matemático, Beauchef 851, Edificio Norte, Piso 6. Fecha: Lunes 05 de Noviembre de 2018 Hora: 16:00 horas Participación en Linea: http://vcespresso.redclara.net/@352109705c115cdd511fb968f9f4ff86# Use Explorer, Firefox o Safari, debe tener instalado Flash Player...
Read MoreExponentes de Lyapunov y rigidez para difeomorfismos hiperbólicos y parcialmente hiperbólicos
ABSTRACT Voy a presentar unos resultados de rigidez en termino de exponentes de Lyapunov para difeomorfismos hiperbólicos y parcialmente hiperbólicos. Si un difeomorfismo hiperbólico (o parcialmente hiperbólico) es cerca a un automorfismo lineal (o un skew product sobre un automorfismo lineal), preserva el volumen, y tiene los mismos exponentes de Lyapunov (estables e inestable), entonces es suavemente conjugado al automorfismo lineal (o a un skew product sobre el automorfismo lineal). En el caso de difeomorfismos hiperbólicos el resultado puede ser visto como un análogo a la conjetura de...
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