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On a biharmonic coupled system with non-standard nonlinearity: Existence, blow up and numerics.
- Source :
-
Asymptotic Analysis . 2024, Vol. 138 Issue 1/2, p69-99. 31p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider a coupled system of two biharmonic equations with damping and source terms of variable-exponent nonlinearities, supplemented with initial and mixed boundary conditions. We establish an existence and uniqueness result of a weak solution, under suitable assumptions on the variable exponents. Then, we show that solutions with negative-initial energy blow up in finite time. To illustrate our theoritical findings, we present two numerical examples. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BIHARMONIC equations
*EXPONENTS
Subjects
Details
- Language :
- English
- ISSN :
- 09217134
- Volume :
- 138
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Asymptotic Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 177194471
- Full Text :
- https://doi.org/10.3233/ASY-231891