A new deterministic spatio-temporal continuum model for biofilm development.
Eberl, Hermann J., Parker, David F., van Loosdrecht, Mark C.M. (2001)
Journal of Theoretical Medicine
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Eberl, Hermann J., Parker, David F., van Loosdrecht, Mark C.M. (2001)
Journal of Theoretical Medicine
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Thierry Goudon, Frédéric Poupaud (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We investigate different asymptotic regimes for Vlasov equations modeling the evolution of a cloud of particles in a turbulent flow. In one case we obtain a convection or a convection-diffusion effective equation on the concentration of particles. In the second case, the effective model relies on a Vlasov-Fokker-Planck equation.
Khassehkhan, Hassan, Eberl, Hermann J. (2008)
Computational & Mathematical Methods in Medicine
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Bruno Sportisse, Jaouad Boutahar, Edouard Debry, Denis Quélo, Karine Sartelet (2002)
RACSAM
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In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
M. Malik-Garbi, O. Agam (2012)
Mathematical Modelling of Natural Phenomena
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We introduce a model, similar to diffusion limited aggregation (DLA), which serves as a discrete analog of the continuous dynamics of evaporation of thin liquid films. Within mean field approximation the dynamics of this model, averaged over many realizations of the growing cluster, reduces to that of the idealized evaporation model in which surface tension is neglected. However fluctuations beyond the mean field level play an important ...
Eberl, Hermann J., Khassehkhan, Hassan, Demaret, Laurent (2010)
Computational & Mathematical Methods in Medicine
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Benettin, G., Rondoni, L. (2001)
Mathematical Physics Electronic Journal [electronic only]
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