Fluid-kinetic modelling in biology, physics & engineering

Workshop theme

This workshop will include in part general talks in Partial Differential Equations in kinetic theories and secondly will be in part devoted to new applications of kinetic modelling in the fields of mathematical biology, mathematical physics and engineering. Some of the fields to cover are: aggregation phenomena of cell and animal populations, coagulation and fragmentation processes and fluid-particles interaction models. The link between macroscopic equations and microscopic processes, multi-scale models and kinetic equations will be the objective of study. The mathematical techniques are common to general kinetic theory: entropy and energy estimates, scaling limits, simplified asymptotic equations, closures, approximated models from a global integrated view of modelling, numerics and analysis.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Fluid-kinetic modelling in biology, physics & engineering, where work on this paper was undertaken. This work was supported by EPSRC grant EP/F005431/1.

Timetable

Monday 6th September 2010
08:30 to 09:55	Registration	No Room Required
09:55 to 10:00	Welcome from Sir David Wallace (INI Director)	No Room Required
10:00 to 11:00	Francois Golse Centre de Physique Théorique de l’Ecole Polytechnique (CPHT) Homogenization of the linear Boltzmann equation in a periodic system of holes	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Self-similarity in coagulation equations with nonlocal drift	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:45 to 14:45	A modified least action principle allowing mass concentrations for the early universe reconstruction problem	Room 1
14:45 to 15:25	Florian Méhats Université de Rennes 1 Orbital stability of spherical galactic models	Room 1
15:25 to 15:45	Afternoon Tea	No Room Required
15:45 to 16:25	Miguel Escobedo Universidad del País Vasco Scalings for a ballistic aggregation equation	Room 1
16:25 to 17:05	Reinhard Bürger Technische Universität Wien Nonlinear Cross-Diffusion Models for Size Exclusion	Room 1
17:05 to 17:45	Tai-Ping Liu Stanford University Analysis of Dynamics of Doi-Onsager Phase Transition	Room 1
17:45 to 18:30	Welcome Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Tuesday 7th September 2010
09:00 to 10:00	Kazuo Aoki Kyoto University Some decay problems of a collisionless gas: Numerical study	Room 1
10:00 to 11:00	Laurent Desvillettes ENS de Cachan Some new results of existence for the theory of sprays	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Alexis Vasseur Japan Atomic Energy Agency & University of Texas at Austin Relative entropy method applied to the stability of shocks for systems of conservation laws	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Igor Aronson Argonne National Laboratory Viscosity of bacterial suspensions: experiment and theory	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:10	Thanos Tzavaras University of Maryland, College Park Kinetic models in material science	Room 1
16:10 to 16:50	Anton Arnold Technische Universität Wien Some polymeric fluid flow models: steady states and large-time convergence	Room 1
16:50 to 17:30	Alexander Gorban University of Leicester LBM: Approximate Invariant Manifolds and Stability	Room 1
17:30 to 18:00	A stochastic individual velocity jump process modelling the collective motion of locusts	Room 1
18:00 to 18:30	Sepidehsadat Mirrahimi Université Pierre et Marie Curie Paris Asymptotic dynamics of a population density: a model with a survival threshold	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Wednesday 8th September 2010
09:00 to 10:00	Thierry Goudon INRIA Lille - Nord Europe Research Centre Hydrodynamic limits, Knudsen layers and Numerical fluxes	Room 1
10:00 to 11:00	Christian Schmeiser Technische Universität Wien Macroscopic limits and decay to equilibrium for kinetic equations with relaxation collision kernels and mass conservation	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Michael Shelley New York University Novel phenomena and models of active fluids	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Modelling Aspects of Solid Tumour Growth	Room 1
15:00 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:10	Nikolaos Bournaveas University of Edinburgh Kinetic models of chemotaxis	Room 1
16:10 to 16:50	Vincent Calvez CNRS - Ecole Normale Superieure Paris Kinetic models for bacterial chemotaxis	Room 1
16:50 to 17:30	Sabine Hittmeir Technische Universität Wien Cross diffusion preventing blow up in the two-dimensional Keller-Segel model	Room 1
17:30 to 18:00	Gael Raoul University of Cambridge An integro-differential model to study evolution	Room 1
19:30 to 22:00	Conference Dinner at Emmanuel College	No Room Required

Thursday 9th September 2010
09:00 to 10:00	Eitan Tadmor University of Maryland, College Park Kinetic description and connectivity of old and new models of flocking	Room 1
10:00 to 11:00	Mathematical Modeling of Selection and Orientational Aggregation in Population Dynamics	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Scalar conservation laws with rough (stochastic) fluxes and stochastic averaging lemmas	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 14:10	Sergei Fedotov University of Manchester Subdiffusion and nonlinear reaction-transport equations	Room 1
14:10 to 14:50	John King University of Nottingham Wave propagation in non-homogeneous semilinear reaction-diffusion	Room 1
14:50 to 15:30	Afternoon Tea	No Room Required
15:30 to 16:00	Alexander Lorz University of Cambridge Coupled Chemotaxis-Fluid Models	Room 1
16:00 to 16:30	Léon Matar Tine INRIA Lille - Nord Europe Research Centre Existence and uniqness of solution to the Lifshitz-Slyozov system with monomers spatial diffusion	Room 1
16:30 to 17:30	Giuseppe Toscani Università degli Studi di Pavia Fokker-Planck models for Bose-Einstein particles	Room 1
17:30 to 18:00	Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Friday 10th September 2010
09:00 to 10:00	Pierre Degond Université Paul Sabatier Toulouse III Fluid models of swarming behavior	Room 1
10:00 to 11:00	Lorenzo Pareschi Università degli Studi di Ferrara On the time discretization of kinetic equations in stiff regimes	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Juan Velazquez Universidad Complutense de Madrid A class of self-similar solutions for the Vlasov-Einstein system (joint work with A. Rendall)	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:40	Simone Calogero Universidad de Granada Trend to the equilibrium for kinetic Fokker-Planck equations on Riemannian manifolds	Room 1
14:40 to 15:10	Afternoon Tea	No Room Required
15:10 to 15:50	Giacomo Dimarco Université Paul Sabatier Toulouse III DSMC-fluid solver with dynamic localisation of kinetic effects	Room 1
15:50 to 16:30	Klemens Fellner University of Cambridge Aggregation-pattern due to repulsive-aggregating interaction potentials	Room 1
16:30 to 17:00	Pierre Carcaud Université de Rennes 1 Study of two simplified kinetic models for evaporation in gravitation	Room 1
17:00 to 17:30	Stephen Pankavich U.S. Naval Academy Large time behavior of collisionless plasma	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Fluid-kinetic modelling in biology, physics & engineering

Speakers

Kazuo Aoki Kyoto University
Anton Arnold Technische Universität Wien
Igor Aronson Argonne National Laboratory
Nikolaos Bournaveas University of Edinburgh
Reinhard Bürger Technische Universität Wien
Simone Calogero Universidad de Granada
Vincent Calvez CNRS - Ecole Normale Superieure Paris
Pierre Carcaud Université de Rennes 1
Pierre Degond Université Paul Sabatier Toulouse III
Laurent Desvillettes ENS de Cachan
Giacomo Dimarco Université Paul Sabatier Toulouse III
Miguel Escobedo Universidad del País Vasco
Sergei Fedotov University of Manchester
Klemens Fellner University of Cambridge
Francois Golse Centre de Physique Théorique de l’Ecole Polytechnique (CPHT)
Alexander Gorban University of Leicester
Thierry Goudon INRIA Lille - Nord Europe Research Centre
Sabine Hittmeir Technische Universität Wien
John King University of Nottingham
Tai-Ping Liu Stanford University
Alexander Lorz University of Cambridge
Sepidehsadat Mirrahimi Université Pierre et Marie Curie Paris
Florian Méhats Université de Rennes 1
Stephen Pankavich U.S. Naval Academy
Lorenzo Pareschi Università degli Studi di Ferrara
Gael Raoul University of Cambridge
Christian Schmeiser Technische Universität Wien
Michael Shelley New York University
Eitan Tadmor University of Maryland, College Park
Léon Matar Tine INRIA Lille - Nord Europe Research Centre
Giuseppe Toscani Università degli Studi di Pavia
Thanos Tzavaras University of Maryland, College Park
Alexis Vasseur Japan Atomic Energy Agency & University of Texas at Austin
Juan Velazquez Universidad Complutense de Madrid

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Fluid-kinetic modelling in biology, physics & engineering

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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