Well-posedness results for a sixth-order logarithmic boussinesq equation
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CitationPişkin, E. ve Irkıl, N. (2019). Well-posedness results for a sixth-order logarithmic boussinesq equation. Filomat, 33(13), 3985-4000.
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.