Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms

In this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Further...

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Bibliographic Details
Published in:Boundary value problems 2021-07, Vol.2021 (1), p.1-14, Article 63
Main Author: Park, Sun-Hye
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Blow-up
Boundary value problems
Bounds of blow-up time
Damping
Difference and Functional Equations
Energy
High initial energy
Lower bounds
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Upper bounds
Variable exponent
Viscoelasticity
Von Karman equation
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Summary:In this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Furthermore, we estimate not only the upper bound but also the lower bound of the blow-up time.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-021-01537-2