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  • Videos (426)
    Control of the motion of a set of particles
    57:17
    published on December 15, 2015

    Control of the motion of a set of particles

    By Olivier Glass

    CIRM

    We consider the problem of lagrangian controllability for two models of fluids. The lagrangian controllability consists in the possibility of prescribing the motion of a set of particle from one place to another in a given time. The two models under view are the Euler equation for incompressible ...

    Appears in collection : Controllability of partial differential equations and applications / Contrôle des EDP et applications

    Missing fields : class diffusion

    Score: 21.20526
    On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion
    01:03:15
    published on May 18, 2017

    On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion

    By Josef Málek

    CIRM

    ... the derivation of viscoelastic (rate-type) fluids with stress diffusion that generates the models that are compatible with the second law of ... Then we restrict ourselves to the class of fluids where elastic response is purely spherical. For such class of fluids we then provide a ...

    Appears in collection : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité

    Score: 17.161451
    The geometry of subelliptic diffusions
    01:31:47
    published on September 9, 2014

    The geometry of subelliptic diffusions

    By Anton Thalmaier

    CIRM

    We discuss hypoelliptic and subelliptic diffusions; the lectures include the following topics: Malliavin calculus; Hormander's theorem; smoothness of transition probabilities under Hormander's brackets condition; control theory and Stroock-Varadhan's support theorems; hypoelliptic heat kernel ...

    Appears in collection : Sub-Riemannian manifolds : from geodesics to hypoelliptic diffusion / Géométrie sous-riemannienne : des géodésiques aux diffusions hypoelliptiques

    Missing fields : class

    Score: 16.947498
    Anomalous Diffusion in Random Dynamical Systems
    38:04
    published on December 18, 2019

    Anomalous Diffusion in Random Dynamical Systems

    By Yuzuru Sato

    IHP

    Consider a chaotic dynamical system generating diffusion-like Brownian motion. Consider a second, nonchaotic system in which all particles localize. Let a particle experience a random combination of both systems by sampling between them in time. What type of diffusion is exhibited by this random ...

    Appears in collection : Nonlinear and stochastic methods in climate and geophysical fluid dynamics

    Missing fields : class

    Score: 15.229444
    Autour de l'instabilité de Turing...
    01:37:58
    published on March 15, 2014

    Autour de l'instabilité de Turing...

    By Laurent Desvillettes

    IHP

    ... On présentera en les termes les plus élémentaires possibles les concepts mathématiques permettant de comprendre cette instabilité (linéarisation des systèmes différentiels autonomes, valeurs propres des matrices 2 x 2, diffusion comme limite de marches aléatoires simples). On présentera ...

    Appears in collections : Séminaire Mathematic Park, Math Park

    Missing fields : class

    Score: 14.683653
    Class number statistics for imaginary quadratic fields
    42:17
    published on April 13, 2016

    Class number statistics for imaginary quadratic fields

    By Pär Kurlberg

    CIRM

    The number $F(h)$ of imaginary quadratic fields with class number $h$ is of classical interest: Gauss’ class number problem asks for a determination of those fields counted by $F(h)$. The unconditional computation of $F(h)$ for $h \le 100$ was completed by M. Watkins, and K. Soundararajan has ...

    Appears in collection : Dynamics and graphs over finite fields: algebraic, number theoretic and algorithmic aspects / Dynamique et graphes sur les corps finis : aspects algebriques, arithmétiques et algorithmiques

    Missing fields : diffusion

    Score: 14.511894
    Stable Models and Algorithms for Backward Diffusion Evolutions
    49:46
    published on March 11, 2019

    Stable Models and Algorithms for Backward Diffusion Evolutions

    By Joachim Weickert

    IHP

    Backward diffusion equations are potentially useful for image enhancement and deblurring. However, these processes are regarded as typical representatives for ill-posed problems that suffer from intrinsic instabilities. These difficulties have prevented many researchers from using such evolutions.

    Appears in collection : Variational methods and optimization in imaging

    Missing fields : class

    Score: 14.285243
    Linear Boltzmann equation and fractional diffusion
    published on December 19, 2018

    Linear Boltzmann equation and fractional diffusion

    By François Golse

    CIRM

    ... In the asymptotic regime where $\sigma \to +\infty$ and $1 − \alpha ∼ C/\sigma$, we prove that the radiation pressure exerted on the boundary of the half-space is governed by a fractional diffusion equation. This result provides an example of fractional diffusion asymptotic limit of a kinetic ...

    Appears in collection : Non standard diffusions in fluids, kinetic equations and probability / Diffusions non standards en mécanique des fluides, équations cinétiques et probabilités

    Missing fields : class

    Score: 13.118053
  • Collections (18)
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