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On a Kinetic Equation for Coalescing Particles

Miguel Escobedo Philippe Laurençot Stéphane Mischler 1
1 BANG - Nonlinear Analysis for Biology and Geophysical flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt
Abstract : Existence of global weak solutions to a spatially inhomogeneous kinetic model for coalescing particles is proved, each particle being identified by its mass, momentum and position. The large time convergence to zero is also shown. The cornestone of our analysis is that, for any nonnegative and convex function, the associated Orlicz norm is a Liapunov functional. Existence and asymptotic behaviour then rely on weak and strong compactness methods in L^1 in the spirit of the DiPerna-Lions theory for the Boltzmann equation.
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https://hal.inria.fr/inria-00071839
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Submitted on : Tuesday, May 23, 2006 - 6:56:10 PM
Last modification on : Monday, December 14, 2020 - 9:54:13 AM
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  • HAL Id : inria-00071839, version 1

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Miguel Escobedo, Philippe Laurençot, Stéphane Mischler. On a Kinetic Equation for Coalescing Particles. [Research Report] RR-4748, INRIA. 2003. ⟨inria-00071839⟩

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