Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

Abstract We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.

Bibliographic Details
Main Authors: Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï, Mourad Benzahi
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Boundary Value Problems
Subjects:
Kirchhoff equation
Partial differential equations
Blow-up
Distributed delay term
Viscoelastic term
Logarithmic nonlinearity
Online Access:https://doi.org/10.1186/s13661-024-01843-5

Internet

https://doi.org/10.1186/s13661-024-01843-5

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