| dc.creator | Briant, Marc | |
| dc.creator | Einav, Amit | |
| dc.date.accessioned | 2018-11-24T23:26:44Z | |
| dc.date.available | 2016-04-21T11:54:49Z | |
| dc.date.available | 2018-11-24T23:26:44Z | |
| dc.date.issued | 2016 | |
| dc.identifier | https://www.repository.cam.ac.uk/handle/1810/255110 | |
| dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3875 | |
| dc.description.abstract | The Boltzmann-Nordheim equation is a modification of the Boltzmann equation, based on physical considerations, that describes the dynamics of the distribution of particles in a quantum gas composed of bosons or fermions. In this work we investigate the Cauchy theory of the spatially homogeneous Boltzmann-Nordheim equation for bosons, in dimension d⩾3. We show existence and uniqueness locally in time for any initial data in L∞(1+|v|s) with finite mass and energy, for a suitable s, as well as the instantaneous creation of moments of all order. | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.publisher | Journal of Statistical Physics | |
| dc.subject | Boltzmann-Nordheim equation | |
| dc.subject | kinetic model for bosons | |
| dc.subject | Bose-Einstein condensation | |
| dc.subject | subcritical solutions | |
| dc.subject | local Cauchy problem | |
| dc.title | On the Cauchy Problem for the Homogeneous Boltzmann-Nordheim Equation for Bosons: Local Existence, Uniqueness and Creation of Moments | |
| dc.type | Article | |
