Abstract
We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions, which differs from the Vlasov-Poisson-Fokker-Planck in that it has the gravitational potential of the form (Formula Presented) instead of the Newtonian one. For the VMFP system, we establish the global-in-time existence of weak solutions under smallness assumption on either the initial mass or the coefficient of the pure Manev potential. The proof extends to several related kinetic systems.
| Original language | English |
|---|---|
| Pages (from-to) | 41-53 |
| Number of pages | 13 |
| Journal | Kinetic and Related Models |
| Volume | 16 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2023 Feb |
Bibliographical note
Funding Information:2020 Mathematics Subject Classification. Primary: 82C40, 35Q70. Key words and phrases. Vlasov–Fokker–Planck equation, Manev potential, global existence of weak solutions, averaging lemma. YPC has been supported by NRF grant (No. 2017R1C1B2012918 and 2022R1A2C100282011) and Yonsei University Research Fund of 2021-22-0301. IJJ has been supported by the New Faculty Startup Fund from Seoul National University and the National Research Foundation of Korea grant (No. 2019R1F1A1058486 and No. 2022R1C1C1011051). ∗Corresponding author: In-Jee Jeong.
Publisher Copyright:
© 2023, Kinetic and Related Models. All Rights Reserved.
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Modelling and Simulation