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Reports (Research Report) Year : 2003

On a Kinetic Equation for Coalescing Particles

Miguel Escobedo
  • Function : Author
Philippe Laurençot


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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Dates and versions

inria-00071839 , version 1 (23-05-2006)


  • HAL Id : inria-00071839 , version 1


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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