Solvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator

Zainouba Chebana; Taki eddine  Oussaeif

doi:10.55059/ijm.2022.1.1/14

Solvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator

Authors

Zainouba Chebana Department of Mathematics and Informatics, Oum El Bouaghi University, Dynamic and control systems laboratory, Oum El Bouaghi,Algeria
Taki eddine Oussaeif Department of Mathematics and Informatics, Oum El Bouaghi University, Dynamic and control systems laboratory, Oum El Bouaghi,Algeria

DOI:

https://doi.org/10.55059/ijm.2022.1.1/14

Keywords:

parabolic equation, Non linear eqautions, Existence, Uniquenes, Eenergy inequality method

Abstract

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.

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Published

2022-01-14

How to Cite

Chebana, Z., & Oussaeif, T. eddine . (2022). Solvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator. Innovative Journal of Mathematics (IJM), 1(1), 93–109. https://doi.org/10.55059/ijm.2022.1.1/14