Asymptotic stability estimates for some evolution problems with singular convection field

We establish asymptotic stability estimates for solutions to evolution problems with singular convection term. Such quantitative estimates provide a measure with respect to the time variable of the distance between the solution to a parabolic problem from the one of the its elliptic stationary count...

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Bibliographic Details
Published in:Ricerche di matematica 2022-11, Vol.71 (2), p.441-457
Main Author: Farroni, Fernando
Format: Article
Language:English
Subjects:
Algebra
Analysis
Asymptotic properties
Convection
Estimates
Evolution
Geometry
Mathematics
Mathematics and Statistics
Numerical Analysis
Probability Theory and Stochastic Processes
Stability
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Description
Summary:We establish asymptotic stability estimates for solutions to evolution problems with singular convection term. Such quantitative estimates provide a measure with respect to the time variable of the distance between the solution to a parabolic problem from the one of the its elliptic stationary counterpart.
ISSN:0035-5038
1827-3491
DOI:10.1007/s11587-020-00537-1