Drift diffusion equations with fractional diffusion on compact Lie groups
نویسندگان
چکیده
Abstract In this work we investigate the well-posed for diffusion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The by strongly elliptic is considered as a special case and in particular fractional with respect Laplacian. general studied within Hörmander classes sub-Riemannian structure group (encoded system of vector fields). Applications sub-Laplacians, powers more corresponding quasi-geostrophic model drift D are investigated. Examples $$\text {SU}(2)$$ SU ( 2 ) problems analysed.
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ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2022
ISSN: ['1424-3199', '1424-3202']
DOI: https://doi.org/10.1007/s00028-022-00825-3