Open AccessWell-posedness results for a sixth-order logarithmic Boussinesq equation
Author(s) -
Erhan Pışkin,
Nazlı Irkil
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1913985p
Subject(s) - mathematics , logarithm , sobolev space , order (exchange) , galerkin method , infinity , mathematical analysis , finite element method , finance , economics , physics , thermodynamics
The main goal of this paper is to study for a sixth-order logarithmic Boussinesq equation. We obtain several results: Firstly, by using Feado-Galerkin method and a logaritmic Sobolev inequality, we proved global existence of solutions. Later, we proved blow up property in infinity time of solutions. Finally, we showed the decay estimates result of the solutions.