Cauchy problem on the vlasov-fokker-planck equation coupled with the compressible euler equations through the friction force
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 687-700 |
| Journal / Publication | Kinetic and Related Models |
| Volume | 6 |
| Issue number | 4 |
| Publication status | Published - Dec 2013 |
| Externally published | Yes |
Link(s)
Abstract
We are concerned with a two-phase ow system consisting of the Vlasov-Fokker-Planck equation for particles coupled to the compressible Euler equations for the uid through the friction force. Global well-posedness of the Cauchy problem is established in perturbation framework, and rates of convergence of solutions toward equilibrium, which are algebraic in the whole space and exponential on torus, are also obtained under some additional conditions on initial data. The proof is based on the classical energy estimates © American Institute of Mathematical Sciences.
Research Area(s)
- Convergence rates., Euler equations, Fokker-Planck equations, Stability
Bibliographic Note
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Citation Format(s)
Cauchy problem on the vlasov-fokker-planck equation coupled with the compressible euler equations through the friction force. / Duan, Renjun; Liu, Shuangqian.
In: Kinetic and Related Models, Vol. 6, No. 4, 12.2013, p. 687-700.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
