Back to Search
Start Over
Fractal dimension of random attractors for nonautonomous stochastic strongly damped wave equations on ℝN.
- Source :
-
Mathematical Methods in the Applied Sciences . Jul2024, Vol. 47 Issue 10, p8105-8134. 30p. - Publication Year :
- 2024
-
Abstract
- In this article, we investigate the dynamics of a nonautonomous stochastic strongly damped wave equation defined on ℝN$$ {\mathrm{\mathbb{R}}}^N $$. We first use the energy equation and tail‐estimates to prove the asymptotic compactness of the solutions and obtain the existence of a unique pullback random attractor for the equation with critical nonlinearity. Then, we give an upper bound of fractal dimension of the random attractor when the nonlinearity is of subcritical growth. The unboundedness of the physical space will impose difficulties on the estimation for the upper bound of fractal dimension of the random attractor. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTAL dimensions
*ATTRACTORS (Mathematics)
*ENERGY consumption
*FRACTALS
Subjects
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 47
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177678491
- Full Text :
- https://doi.org/10.1002/mma.10006