A nonlinear parabolic equation with drift term. (December 2018)

• Record Type: Journal Article
• Authors: Farroni, Fernando; Moscariello, Gioconda
• Is Part Of: Nonlinear analysis. Volume 177(2018)Part B
• Page Start: 397
• Page End: 412
• Publication Date: 2018-12
• Subjects: 35K55 -- 35K61 -- 35K65 -- 35K92; Nonlinear parabolic equations -- Existence -- Asymptotic behaviour; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2018.04.021
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: 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.