Blow up and global existence of solution for a riser problem with logarithmic nonlinearity

Authors :: Irkıl, Nazlı
Pişkin, Erhan
Dicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümü
Pişkin, Erhan
Source :: Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi.
Publication Year :: 2021
Publisher :: Kare Publishing, 2021.
Abstract: WOS:000754310800004 In this work, we analyze the influence of the logarithmic source term on solutions to quasilinear riser equation. Firstly, we prove blow up results. Later, we obtain that solutions are global with negative initial energy.

Subjects :: Riser equation
Mathematics::Analysis of PDEs
Blow up
Global existence
Logarithmic nonlinearity

ISSN :: 13047205
Database :: OpenAIRE
Journal :: Sigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
Accession number :: edsair.doi.dedup.....574b3670e33c952cae02b8f14cbbb637
Full Text :: https://doi.org/10.14744/sigma.2021.00042

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