Partial Differential Equations in Kinetic Theories

Partial Differential Equations in Kinetic Theories's image
Created: 2010-08-12 11:23
Institution: Isaac Newton Institute for Mathematical Sciences
Editors' group: SMS Editors group for the Newton Institute
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
 

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'The Hughes' model for pedestrian flow


   346 views

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


   225 views

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


   408 views

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


   420 views

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


   309 views

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


   265 views

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


   197 views

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


   180 views

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 integro-differential model to study evolution


   269 views

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


   202 views

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


   223 views

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


   183 views

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


   186 views

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


   278 views

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


   248 views

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


Blow-up Conditions for a System of Nonlinear Schrödinger Equations


   760 views

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


   300 views

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


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