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Partial Differential Equations in Kinetic Theories
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Partial Differential Equations in Kinetic Theories

Author: Cambridge University

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Description

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
95 Episodes
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Optimal control of the nonlinear Schrödinger equation

Optimal control of the nonlinear Schrödinger equation

2010-12-2101:01:02

Hintermüller, M (Humboldt Univ zu Berlin) Friday 17 December 2010, 11:30-12:30
Dynamical modelling of nonequilibrium condensates

Dynamical modelling of nonequilibrium condensates

2010-12-2157:14

Berloff, N (Cambridge) Friday 17 December 2010, 10:00-11:00
From Gross-Pitaevskii to KdV and KP

From Gross-Pitaevskii to KdV and KP

2010-12-2159:55

Saut, JC (Paris-Sud 11) Friday 17 December 2010, 09:00-10:00
Blow-up Conditions for a System of Nonlinear Schrödinger Equations

Blow-up Conditions for a System of Nonlinear Schrödinger Equations

2010-12-2132:07

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

2010-12-2140:45

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

2010-12-1749:14

Filbert, F (Claude Bernard Lyon 1) Thursday 16 December 2010, 10:00-11:00
On Bohmian measures and their classical limit

On Bohmian measures and their classical limit

2010-12-1759:06

Sparber, C (Cambridge) Thursday 16 December 2010, 09:00-10:00
Nonlinear coherent states and Ehrenfest time for Schrodinger equation

Nonlinear coherent states and Ehrenfest time for Schrodinger equation

2010-12-1651:38

Carles, R (Montpellier 2) Wednesday 15 December 2010, 14:00-15:00
Continuations of the nonlinear Schrodinger solutions beyond the singularity

Continuations of the nonlinear Schrodinger solutions beyond the singularity

2010-12-1653:45

Fibich, G (Tel Aviv) Wednesday 15 December 2010, 10:00-11:00
Bloch Decomposition-Based Gaussian Beam Method for the Schrödinger equation with Periodic Potentials

Bloch Decomposition-Based Gaussian Beam Method for the Schrödinger equation with Periodic Potentials

2010-12-1643:53

Wu, H (Tsinghua) Wednesday 15 December 2010, 11:30-12:30
Semiclassics beyond the Egorov theorem

Semiclassics beyond the Egorov theorem

2010-12-1601:03:49

Lasser, C (TU München) Wednesday 15 December 2010, 09:00-10:00
Global Ray Tracing

Global Ray Tracing

2010-12-1632:31

Zheng, C (Tsinghua) Tuesday 14 December 2010, 15:30-16:30
On the moment problem for quantum hydrodynamics

On the moment problem for quantum hydrodynamics

2010-12-1601:10:31

Mehats, F (Rennes 1) Tuesday 14 December 2010, 14:00-15:00
Analysis of diffusive quantum fluid models

Analysis of diffusive quantum fluid models

2010-12-1649:02

Juengel, A (Technical Univ of Vienna) Tuesday 14 December 2010, 11:30-12:30
Quantized vortex stability and dynamics in superfluidity and superconductivity

Quantized vortex stability and dynamics in superfluidity and superconductivity

2010-12-1601:01:58

Bao, W (National Univ of Singapore) Tuesday 14 December 2010, 09:00-10:00
NRxx Method for Boltzmann-BGK Equation

NRxx Method for Boltzmann-BGK Equation

2010-12-1650:18

Lie, R (Peking) Tuesday 14 December 2010, 10:00-11:00
Tailored finite point method for wave propagation

Tailored finite point method for wave propagation

2010-12-1651:58

Huang, Z (Tsinghua) Monday 13 December 2010, 16:30-17:30
Remarks on Fermi-Dirac and Bose-Einstein quantum Boltzmann type equations

Remarks on Fermi-Dirac and Bose-Einstein quantum Boltzmann type equations

2010-12-1601:02:51

Alexandre, R (Evry-Val-d'Essonne) Monday 13 December 2010, 15:30-16:30
Strong semiclassical approximation for the Hartree dynamics

Strong semiclassical approximation for the Hartree dynamics

2010-12-1558:17

Paul, T (École Polytechnique) Monday 13 December 2010, 11:30-12:30
Thermic effects in Hartree systems

Thermic effects in Hartree systems

2010-12-1501:04:59

Dolbeault, J (Paris-Dauphine) Monday 13 December 2010, 14:00-15:00
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