Open AccessSolvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator
Author(s) -
Zainouba Chebana,
Taki-Eddine Oussaeif
Publication year - 2022
Language(s) - English
DOI - 10.55059/ijm.2022.1.1/14
Subject(s) - uniqueness , mathematics , bessel function , nonlinear system , class (philosophy) , mathematical analysis , dynamics (music) , operator (biology) , parabolic partial differential equation , energy (signal processing) , energy method , partial differential equation , physics , computer science , biochemistry , chemistry , statistics , repressor , quantum mechanics , artificial intelligence , acoustics , transcription factor , gene
In this paper, we present a class of parabolic equation with nonlinear where we show two part of this study the theoretical part we prove the existence and uniqueness of the solution by energy inequality method. Then we present finite time blow up by using the energy method.