Upper bounds for the blow up time for the Kirchhoff- type equation

Authors : Yavuz DİNÇ, Erhan PİŞKİN, Prof.dr.cemil TUNC

Pages : 352-362

Doi:10.31801/cfsuasmas.1146782

View : 36 | Download : 56

Publication Date : 2023-06-23

Article Type : Research Paper

Abstract :In this research, we take into account the Kirchhoff type equation with variable exponent. The Kirchhoff type equation is known as a kind of evolution equations,namely, PDEs, where t is an independent variable. This type problem can be extensively used in many mathematical models of various applied sciences such as flows of electrorheological fluids, thin liquid films, and so on. This research, we investigate the upper bound for blow up time under suitable conditions.
Keywords : Blow up, Kirchhoff type equation, variable exponent