Drift diffusion equations with fractional diffusion on compact Lie groups
- Author
- Duvan Cardona Sanchez (UGent) , Julio Delgado and Michael Ruzhansky (UGent)
- Organization
- Project
- Abstract
- In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elliptic operators is considered as a special case and in particular the fractional diffusion with respect to the Laplacian. The general case is studied within the Hormander classes associated to a sub-Riemannian structure on the group (encoded by a Hormander system of vector fields). Applications to diffusion equations for fractional sub-Laplacians, fractional powers of more general subelliptic operators and the corresponding quasi-geostrophic model with drift D are investigated. Examples on SU(2) for diffusion problems with fractional diffusion are analysed.
- Keywords
- Mathematics (miscellaneous), Diffusion equations, Quasi-geostrophic model, Diffusion with drift, Pseudo-differential operators, LAPLACIAN, REGULARITY, OPERATORS
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01GYSS1F50SKB982NVD6KTRKMW
- MLA
- Cardona Sanchez, Duvan, et al. “Drift Diffusion Equations with Fractional Diffusion on Compact Lie Groups.” JOURNAL OF EVOLUTION EQUATIONS, vol. 22, no. 4, 2022, doi:10.1007/s00028-022-00825-3.
- APA
- Cardona Sanchez, D., Delgado, J., & Ruzhansky, M. (2022). Drift diffusion equations with fractional diffusion on compact Lie groups. JOURNAL OF EVOLUTION EQUATIONS, 22(4). https://doi.org/10.1007/s00028-022-00825-3
- Chicago author-date
- Cardona Sanchez, Duvan, Julio Delgado, and Michael Ruzhansky. 2022. “Drift Diffusion Equations with Fractional Diffusion on Compact Lie Groups.” JOURNAL OF EVOLUTION EQUATIONS 22 (4). https://doi.org/10.1007/s00028-022-00825-3.
- Chicago author-date (all authors)
- Cardona Sanchez, Duvan, Julio Delgado, and Michael Ruzhansky. 2022. “Drift Diffusion Equations with Fractional Diffusion on Compact Lie Groups.” JOURNAL OF EVOLUTION EQUATIONS 22 (4). doi:10.1007/s00028-022-00825-3.
- Vancouver
- 1.Cardona Sanchez D, Delgado J, Ruzhansky M. Drift diffusion equations with fractional diffusion on compact Lie groups. JOURNAL OF EVOLUTION EQUATIONS. 2022;22(4).
- IEEE
- [1]D. Cardona Sanchez, J. Delgado, and M. Ruzhansky, “Drift diffusion equations with fractional diffusion on compact Lie groups,” JOURNAL OF EVOLUTION EQUATIONS, vol. 22, no. 4, 2022.
@article{01GYSS1F50SKB982NVD6KTRKMW,
abstract = {{In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elliptic operators is considered as a special case and in particular the fractional diffusion with respect to the Laplacian. The general case is studied within the Hormander classes associated to a sub-Riemannian structure on the group (encoded by a Hormander system of vector fields). Applications to diffusion equations for fractional sub-Laplacians, fractional powers of more general subelliptic operators and the corresponding quasi-geostrophic model with drift D are investigated. Examples on SU(2) for diffusion problems with fractional diffusion are analysed.}},
articleno = {{84}},
author = {{Cardona Sanchez, Duvan and Delgado, Julio and Ruzhansky, Michael}},
issn = {{1424-3199}},
journal = {{JOURNAL OF EVOLUTION EQUATIONS}},
keywords = {{Mathematics (miscellaneous),Diffusion equations,Quasi-geostrophic model,Diffusion with drift,Pseudo-differential operators,LAPLACIAN,REGULARITY,OPERATORS}},
language = {{eng}},
number = {{4}},
pages = {{33}},
title = {{Drift diffusion equations with fractional diffusion on compact Lie groups}},
url = {{http://doi.org/10.1007/s00028-022-00825-3}},
volume = {{22}},
year = {{2022}},
}
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