Measure-valued solution to the inelastic Boltzmann equation for hard potentials without angular cutoff
- Title
- Measure-valued solution to the inelastic Boltzmann equation for hard potentials without angular cutoff
- Authors
- Qi, Kunlun; JANG, JIN WOO
- Date Issued
- 2024-02-08
- Publisher
- AIP Publishing
- Abstract
- We present a concise summary of our latest findings regarding the global existence of the spatially uniform inelastic Boltzmann equation without angular cutoff [1]. Our results establish the global existence of measure-valued solutions for the general hard potential long-range interaction within the collision kernel. The initial condition only requires a constraint in terms of the (2 + κ)-moment for κ > 0, with no entropy assumption needed. To validate our conclusions, it is essential to develop an enhanced Povzner-type inequality.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/120237
- ISSN
- 0094-243X
- Article Type
- Conference
- Citation
- 32ND INTERNATIONAL SYMPOSIUM ON RAREFIED GAS DYNAMICS, 2024-02-08
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- There are no files associated with this item.
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