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.
| Original language | English |
|---|---|
| Pages (from-to) | 687-700 |
| Journal | Kinetic and Related Models |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Dec 2013 |
| Externally published | Yes |
Bibliographical note
Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].Research Keywords
- Convergence rates.
- Euler equations
- Fokker-Planck equations
- Stability
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