The Interaction of a Countable Number of Eddy Flows for the Bryan–Pidduck Model
We consider the nonlinear integro-differential Boltzmann equation for the model of rough spheres.An approximate solution is constructed in the form of a linear combination of a countable number of the Maxwell modes with certain coefficient functions that depend on time and spatial coordinate.Sufficient conditions for an arbitrarily small uniform-integral error are obtained.
Authors
- V. D. Gordevskyy (ORCID: https://orcid.org/0000-0003-3642-8036)
- O. O. Hukalov (ORCID: https://orcid.org/0000-0003-2099-5036)
Institutions
- National Academy of Sciences of Ukraine (UA)
- B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine (UA)
- V. N. Karazin Kharkiv National University (UA)
Publication Details
- Journal
- Zurnal matematiceskoj fiziki analiza geometrii
- Published
- 2025-03-25
- DOI
- https://doi.org/10.15407/mag21.02.05
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00