|
|||||
|
|
Stability estimates of the Boltzmann equation with quantum effects |
|
| Authors: | |
| Institution: | (1) Department of Mathematics, KIAS, Seoul, 130-722, Korea;(2) Department of Mathematical Sciences, Seoul National University, Seoul, Korea |
| Abstract: | We study uniform stability estimates to the Boltzmann equation for quantum particles such as Bose-Einstein particles and Fermi-Dirac particles. When the small amount of particles expands toward the vacuum, we show that continuous mild solutions are L 1-stable and also satisfy BV-type estimates using a nonlinear functional approach. PACS05.20 Dd |
| Keywords: | The Boltzmann equation Quantum particles L1-stability Nonlinear functional approach |
| 本文献已被 SpringerLink 等数据库收录！ | |