The resonance phenomenon in the reaction-diffusion systems.
Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)
Discrete Dynamics in Nature and Society
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Lobanov, A.I., Starozhilova, T.K., Chernyaev, A.P. (2001)
Discrete Dynamics in Nature and Society
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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.
David, T., de Groot, P.G., Walker, P.G. (2002)
Journal of Theoretical Medicine
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Chattopadhyay, Soumitra, Mukherjee, A.K. (1994)
International Journal of Mathematics and Mathematical Sciences
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Hassanzadeh, Hassan, Pooladi-Darvish, Mehran, Abedi, Jalal (2009)
Mathematical Problems in Engineering
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Ulrich Maas (1995)
Applications of Mathematics
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During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple...
S. R. de Groot (1979)
Annales de l'I.H.P. Physique théorique
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