A nonlinear parabolic equation with drift term

We consider weak solutions to a nonlinear evolution diffusion–convection equation with an unbounded convection field. We provide existence and uniqueness results as well as the asymptotic behaviour of solutions.

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Bibliographic Details
Published in:Nonlinear analysis 2018-12, Vol.177, p.397-412
Main Authors: Farroni, Fernando, Moscariello, Gioconda
Format: Article
Language:English
Subjects:
Asymptotic properties
Convection
Nonlinear equations
Studies
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Description
Summary:We consider weak solutions to a nonlinear evolution diffusion–convection equation with an unbounded convection field. We provide existence and uniqueness results as well as the asymptotic behaviour of solutions.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2018.04.021