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Report 49/2005: Reactive Flow and Transport Through Complex Systems (Oktober 30th – November 5th, 2005). (English) Zbl 1110.76305

Abstract: The meeting focused on mathematical aspects of reactive flow, diffusion and transport through complex systems. The research interest of the participants varied from physical modeling using PDEs, mathematical modeling using upscaling and homogenization, numerical analysis of PDEs describing reactive transport, PDEs from fluid mechanics, computational methods for random media and computational multiscale methods.
Contributions:
Assyr Abdulle, Fully discrete heterogeneous multiscale methods and application to transport problems in microarrays (p. 2769)
Peter Bastian (joint with Christian Engwer), Solving partial differential equations in complicated domains (p. 2771)
Leonid Berlyand, Two analytical models of random composites: polydispersity and correlations (p. 2775)
Eric Bonnetier (joint with Fehmi Ben Hassen), Asymptotics of the potential in a perturbed periodic composite medium containing misplaced inclusions (p. 2776)
Alain Bourgeat (joint with Eduard Marušić-Paloka, Olivier Gipouloux), Some problems in scaling up the source terms in an underground waste repository model (p. 2778)
Andrea Braides (joint with Andrey Piatnitski), Variational problems involving percolation (p. 2782)
René de Borst (joint with Marie-Angèle Abellan), Dispersion and localization in a damaging multi-phase medium (p. 2784)
Vincent Giovangigli, Gaseous flows with multicomponent transport and complex chemistry (p. 2787)
Giovanna Guidoboni (joint with Mariarosaria Padula), Uniqueness of weak solutions for a fluid-structure interaction problem (p. 2790)
R. Hilfer, Laboratory scale capillarity without capillary pressure (p. 2791)
Jérôme Jaffré (joint with Adimurthi, Siddhartha, Veerappa Gowda), Riemann solvers for two-phase flow through a change in rock type (p. 2793)
Michel Kern (joint with Jocelyne Erhel), Numerical methods for chemistry and for coupling transport with chemistry in porous media (p. 2795)
Michael Lenzinger, Viscous fluid flow in bifurcating channels and pipes (p. 2798)
Eduard Marušić-Paloka (joint with Maja Starčević), Rigorous justification of the Reynolds equations for gas lubrication (p. 2799)
Hermann G. Matthies, Computational approaches for flow through stochastic porous media (p. 2803)
Maria Neuss-Radu (joint with Willi Jäger), Homogenization of thin porous layers and applications to ion transport through channels of biological membranes (p. 2809)
Barbara Niethammer (joint with A. Hönig, F. Otto, J. Velázquez), A non-equilibrium statistical mechanics approach to effective theories of domain coarsening (p. 2812)
I. S. Pop (joint with C. J. van Duijn, V. M. Devigne), Dissolution and precipitation processes in porous media: a pore scale model (p. 2814)
Jérome Pousin (joint with B. Faugeras), An efficient numerical scheme for precise time integration of a dissolution/precipitation chemical system (p. 2816)
Ben Schweizer, On capillary hysteresis in porous media and the averaging of a play-type hysteresis model (p. 2819)
Angela Stevens (joint with Fathi Dkhil, Steffen Heinze, George Papanicolaou), Front propagation in heterogeneous media (p. 2822)
Raúl Tempone (joint with Ivo Babuska and Fabio Nobile ), Spectral collocation for partial differential equations with random coefficients (p. 2824)
Radu Alexandru Todor, Sparse perturbation algorithms for elliptic problems with stochastic data (p. 2827)

MSC:

76-06 Proceedings, conferences, collections, etc. pertaining to fluid mechanics
80-06 Proceedings, conferences, collections, etc. pertaining to classical thermodynamics
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
00B05 Collections of abstracts of lectures
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