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Workshops

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Jornada de Dinámica Infinito Dimensional: Martes 27 de Noviembre de 2007, Departamento de Matemática Aplicada, UCM.  
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*<big><u>Jornada de Dinámica Infinito Dimensional</u></big>
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9:30-13:25
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::Martes 27 de Noviembre de 2007, Departamento de Matemática Aplicada, UCM. 9:30-13:25, [[Media:jornada_27nov2007_2-3.pdf | [cartel]]]
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== Jornada de Dinámica Infinito Dimensional:  Martes 27 de Noviembre de 2007==
== Jornada de Dinámica Infinito Dimensional:  Martes 27 de Noviembre de 2007==
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continuation after quenching of the solutions. Joint work with A. de
continuation after quenching of the solutions. Joint work with A. de
Pablo, Mayte Pérez-Llanos, F. Quirós and J. D. Rossi.
Pablo, Mayte Pérez-Llanos, F. Quirós and J. D. Rossi.
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==iMdea matemáticas:seminario  29 de noviembre 2007 ==
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<center>
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Dpto. de Matemáticas, sala 520 Facultad de Ciencias -  
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UAM Ciudad Universitaria de Cantoblanco 28049 Madrid
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</center>
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'''10:30 · 11:10 Hardy inequalities in twisted waveguides'''
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<center>
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David KREJ CIRÍK
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Department of Theoretical Physics, Nuclear Physics Institute,  Academy
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of Sciences, Rez, Czech Republic e-mail: krejcirik@ujf.cas.cz
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</center>
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The Dirichlet Laplacian in tubular domains is a simple but remarkably
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successful model for the quantum Hamiltonian in mesoscopic waveguide
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systems. We make an overview of geometrically induced Hardy-type
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inequalities established recently for the Laplacian in twisted tubes,
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and mention consequences for the electronic transport. We begin by
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recalling the classical Hardy inequality and its relation to
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geometric, spectral, stochastic and other properties of the underlying
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Euclidean space. After discussing the complexity of the problem when
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reformulated for quasi-cylindrical subdomains, we give a proof of the
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Hardy inequality due to a twist of three-dimensional tubes of uniform
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cross-section and use it to prove certain stability of the spectrum.
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We also discuss similar effects induced by curvature of the ambient
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space or switch of boundary conditions.
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'''11:10 · 11:50 Existence and continuity of global attractors for a
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class of non local evolution equations  '''
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<center>
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Antônio L. PEREIRA
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Instituto de Matemática e Estatística-USP
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Rua do Matão, 1010, Cidade Universitária, São Paulo-SP,
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Brasil  e-mail: alpereir@ime.usp.br
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</center>
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In this work we prove the existence of a compact global attractor for
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the flow of the equation
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<center>
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<math>
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\frac{\partial m(r,t)}{\partial t} = -m(r,t)+g(\beta J*M(r,t)+\beta h)
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\qquad h, \beta \geq 0
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</math>
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</center>
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in
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<math>
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L^{2}(S^{1}).
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</math>
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We also show that the flow is gradient and the global attractor
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depends continuosly on the parameters h and . AMS subject
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classification: 34G20,47H15.
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'''11:50 · 12:10 Coffee break '''
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'''12:10 · 13:10 Creating materials with desired refraction
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coefficient'''
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<center>
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A. G. RAMM
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Mathematics Department, Kansas State University,
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Manhattan, KS 66506-2602, USA
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ramm@math.ksu.edu
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</center>
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A method is given for calculation of a distribution of small impedance
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particles, which should be embedded in a bounded domain, filled with
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material with known refraction coefficient, in order that the
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resulting new material would have a desired refraction coefficient.
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The new material may be created so that it has some desired
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wave-focusing properies. For example, it can scatter plane wave mostly
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in a fixed solid angle. The inverse scattering problem with scattering
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data given at a fixed wave number and at a fixed incident direction is
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formulated and solved.
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[http://www.imdea.org iMdea]
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Última versión de 07:37 19 oct 2008


  • Jornada de Dinámica Infinito Dimensional
Martes 27 de Noviembre de 2007, Departamento de Matemática Aplicada, UCM. 9:30-13:25, [cartel]


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