95 épisodes

Kinetic equations occur naturally in the modelling of the collective motion of large individual particle ensembles such as molecules in rarefied gases, beads in granular materials, charged particles in semiconductors and plasmas, dust in the atmosphere, cells in biology, or the behaviour of individuals in economical trading … Generally, huge interacting particle systems cannot efficiently be described by the individual dynamics of all particles due to overwhelming complexity but clearly some input from the microscopic behaviour is needed in order to bridge from microscopic dynamics to the macroscopic world, typically rendered in terms of averaged quantities. This leads to classical equations of mathematical physics: the Boltzmann equation of rarified gas dynamics, the fermionic and bosonic Boltzmann equations and the relativistic Vlasov-Maxwell system of particle physics, the quantistic Wigner-Poisson system, to name just a few.

Read more at http://www.newton.ac.uk/programmes/KIT/index.html

Partial Differential Equations in Kinetic Theories Cambridge University

    • Éducation

Kinetic equations occur naturally in the modelling of the collective motion of large individual particle ensembles such as molecules in rarefied gases, beads in granular materials, charged particles in semiconductors and plasmas, dust in the atmosphere, cells in biology, or the behaviour of individuals in economical trading … Generally, huge interacting particle systems cannot efficiently be described by the individual dynamics of all particles due to overwhelming complexity but clearly some input from the microscopic behaviour is needed in order to bridge from microscopic dynamics to the macroscopic world, typically rendered in terms of averaged quantities. This leads to classical equations of mathematical physics: the Boltzmann equation of rarified gas dynamics, the fermionic and bosonic Boltzmann equations and the relativistic Vlasov-Maxwell system of particle physics, the quantistic Wigner-Poisson system, to name just a few.

Read more at http://www.newton.ac.uk/programmes/KIT/index.html

    • video
    Optimal control of the nonlinear Schrödinger equation

    Optimal control of the nonlinear Schrödinger equation

    Hintermüller, M (Humboldt Univ zu Berlin)
    Friday 17 December 2010, 11:30-12:30

    • 1h 1m
    • video
    Dynamical modelling of nonequilibrium condensates

    Dynamical modelling of nonequilibrium condensates

    Berloff, N (Cambridge)
    Friday 17 December 2010, 10:00-11:00

    • 57 min
    • video
    From Gross-Pitaevskii to KdV and KP

    From Gross-Pitaevskii to KdV and KP

    Saut, JC (Paris-Sud 11)
    Friday 17 December 2010, 09:00-10:00

    • 59 min
    • video
    Blow-up Conditions for a System of Nonlinear Schrödinger Equations

    Blow-up Conditions for a System of Nonlinear Schrödinger Equations

    Weishaeupl, R-M (Wien)
    Thursday 16 December 2010, 14:00-15:00

    • 32 min
    • video
    Scattering and asymptotic completness to the Schrödinger equation with critical Nonlinear and Hartree potentials

    Scattering and asymptotic completness to the Schrödinger equation with critical Nonlinear and Hartree potentials

    Antonelli, P (Cambridge)
    Thursday 16 December 2010, 11:30-12:30

    • 40 min
    • video
    A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime

    A Numerical Scheme for the Quantum Boltzmann Equation Efficient in the Fluid Regime

    Filbert, F (Claude Bernard Lyon 1)
    Thursday 16 December 2010, 10:00-11:00

    • 49 min

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