Blow up and global existence of solution for a riser problem with logarithmic nonlinearity
1Mardin Said Nursi Anatolian High School, Mardin, Turkey
2Dicle University, Department of Mathematics, Diyarbakır, Turkey
2Dicle University, Department of Mathematics, Diyarbakır, Turkey
Sigma J Eng Nat Sci 2021; 39(): 56-63 DOI: 10.14744/sigma.2021.00042
Abstract
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
Keywords: Blow up, global existence, logarithmic nonlinearity, riser equation.
