# Partial Differential Equations in Kinetic Theories

Created: | 2010-08-12 11:23 |
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Institution: | Isaac Newton Institute for Mathematical Sciences |

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 |

# Media items

This collection contains 95 media items.

### Media items

#### 'The Hughes' model for pedestrian flow

Di Francesco, M (Studi dell'Aquila)

Tuesday 16 November 2010, 15:00-15:45

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 22 Nov 2010

#### A class of self-similar solutions for the Vlasov-Einstein system

Velazquez, J (Complutense de Madrid)

Friday 10 September 2010, 11:30-12:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 14 Sep 2010

#### A completely integrable toy model of nonlinear Schrodinger equations without dispersion

Gerard, P (Universite Paris-Sud)

Tuesday 26 October 2010, 14:00-14:45

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Oct 2010

#### A modified least action principle allowing mass concentrations for the early universe reconstruction problem

Brenier, Y (Nice)

Monday 06 September 2010, 13:45-14:45

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 7 Sep 2010

#### 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

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 17 Dec 2010

#### A stochastic individual velocity jump process modelling the collective motion of locusts

Haskovec, J (Austrian Academy of Sciences)

Tuesday 07 September 2010, 17:30-18:00

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 9 Sep 2010

#### A stochastic min-driven coalescence process and its hydrodynamical limit

Laurencot, P (Université Paul Sabatier Toulouse III)

Tuesday 26 October 2010, 15:00-15:55

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 27 Oct 2010

#### Adaptation in continuous populations with migration and genetic drift

Polechova, J (IST Austria)

Monday 22 November 2010, 14:30-15:20

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 24 Nov 2010

#### Aggregation-pattern due to repulsive-aggregating interaction potentials

Fellner, K (Cambridge)

Friday 10 September 2010, 15:50-16:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 15 Sep 2010

#### An Eulerian surface hopping method for the Schrödinger equation with conical crossings

Jin, S (Wisconsin-Madison)

Monday 13 December 2010, 10:00-11:00

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 15 Dec 2010

#### An integro-differential model to study evolution

Raoul, G (Cambridge)

Wednesday 08 September 2010, 17:30-18:00

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Mon 13 Sep 2010

#### Analysis of diffusive quantum fluid models

Juengel, A (Technical Univ of Vienna)

Tuesday 14 December 2010, 11:30-12:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 16 Dec 2010

#### Analysis of Dynamics of Doi-Onsager Phase Transition

Liu, JG (Duke)

Monday 06 September 2010, 17:05-17:45

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 8 Sep 2010

#### Asymptotic dynamics of a population density: a model with a survival threshold

Mirrahimi, S (Pierre & Marie Curie-Paris)

Tuesday 07 September 2010, 18:00-18:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 10 Sep 2010

#### Asymptotic spreading in general heterogeneous media

Nadin, G (University Paris 6)

Monday 22 November 2010, 11:50-12:40

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 24 Nov 2010

#### Asymptotic-preserving schemes for some kinetic equations

Liu, JG (Duke)

Tuesday 31 August 2010, 09:00-10:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Fri 3 Sep 2010

#### Bifurcation problems for structured population dynamics models

Magal, P (Bordeaux)

Monday 22 November 2010, 11:00-11:50

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Wed 24 Nov 2010

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

Wu, H (Tsinghua)

Wednesday 15 December 2010, 11:30-12:30

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 16 Dec 2010

#### Blow-up Conditions for a System of Nonlinear Schrödinger Equations

Weishaeupl, R-M (Wien)

Thursday 16 December 2010, 14:00-15:00

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Tue 21 Dec 2010

#### Continuations of the nonlinear Schrodinger solutions beyond the singularity

Fibich, G (Tel Aviv)

Wednesday 15 December 2010, 10:00-11:00

**Collection**:
Partial Differential Equations in Kinetic Theories

**Institution**:
Isaac Newton Institute for Mathematical Sciences

**Created**:
Thu 16 Dec 2010