Propagation of L1 and L∞ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation

@inproceedings{Alonso2008PropagationOL,
  title={Propagation of L1 and L∞ Maxwellian weighted bounds for derivatives of solutions to the homogeneous elastic Boltzmann equation},
  author={Ricardo J. Alonso and Irene M. Gamba},
  year={2008}
}
We consider the n-dimensional space homogeneous Boltzmann equation for elastic collisions for variable hard potentials with Grad (angular) cutoff. We prove sharp moment inequalities, the propagation of L-Maxwellian weighted estimates, and consequently, the propagation L∞-Maxwellian weighted estimates to all derivatives of the initial value problem associated to the afore mentioned problem. More specifically, we extend to all derivatives of the initial value problem associated to this class of… CONTINUE READING

References

Publications referenced by this paper.
SHOWING 1-10 OF 13 REFERENCES

Moment inequalities for the Boltzmann equation and applications to spatially homogeneous problems

  • A. V. Bobylev
  • J. Statist. Phys
  • 1997
Highly Influential
17 Excerpts

Mathematics of granular materials

  • C. Villani
  • J. Stat. Phys
  • 2006
1 Excerpt

A review of mathematical topics in collisional kinetic theory

  • C. Villani
  • In Handbook of mathematical fluid dynamics,
  • 2002

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