Existence and stability results of nonlinear swelling equations with logarithmic source terms

Existence and stability results of nonlinear swelling equations with logarithmic source terms

We considered a swelling porous-elastic system characterized by two nonlinear variable exponent damping and logarithmic source terms. Employing the Faedo-Galerkin method, we established the local existence of weak solutions under suitable assumptions on the variable exponents functions. Furthermore,...

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Bibliographic Details
Main Authors: Mohammad Kafini, Mohammad M. Al-Gharabli, Adel M. Al-Mahdi
Format: Article
Language:English
Published: AIMS Press 2024-04-01
Series:AIMS Mathematics
Subjects:
swelling system
faedo-galerkin method
well-depth method
logarithmic sobolev inequality
variable exponents
general decay
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024627?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2024627?viewType=HTML

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