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The Hartree Equation for Infinitely Many Particles
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lewin, Mathieu Sabin, Julien |
| Copyright Year | 1987 |
| Abstract | We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the form f(−∆), describing an homogeneous Fermi gas. Under suitable assumptions on the interaction potential and on the momentum distribution f , we prove that the stationary state is asymptotically stable in dimension 2. More precisely, for any initial datum which is a small perturbation of f(−∆) in a Schatten space, the system weakly converges to the stationary state for large times. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://hal.archives-ouvertes.fr/docs/00/86/87/82/PDF/dispersion-article.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |