Partial Differential Equations in Kinetic Theories
Created: | 2010-08-12 11:23 |
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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 |
Media items
This collection contains 95 media items.
Media items
'The Hughes' model for pedestrian flow
340 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
218 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
399 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 modified least action principle allowing mass concentrations for the early universe reconstruction problem
403 views
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
410 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
301 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
254 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
191 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
172 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 Eulerian surface hopping method for the Schrödinger equation with conical crossings
253 views
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
262 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
196 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
214 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
176 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
178 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
270 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
240 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
Bloch Decomposition-Based Gaussian Beam Method for the Schrödinger equation with Periodic Potentials
141 views
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
753 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
295 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