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On the blow up and condensation of supercritical solutions of the nordheim equation for bosons

Communications in Mathematical Physics, ISSN: 1432-0916, Vol: 330, Issue: 1, Page: 331-365
2014
  • 19
    Citations
  • 0
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  • 8
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    19
    • Citation Indexes
      19
  • Captures
    8

Article Description

In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L norm if the values of the energy and particle density are in the range of values where the corresponding equilibria contain a Diracmass.We also prove that, in the weak solutions, whose initial data are measures with values of particle and energy densities satisfying the previous condition, a Dirac measure at the origin forms in finite time.

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