Stochastics and Dynamics· 2026Q2
Strong convergence rate in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
- 3citations
- Q2SCImago
- 2026year
Short summary
The averaging principle for stochastic hyperbolic-parabolic equations with two time-scales is shown to have a strong convergence rate of 1/2 for the slow component to the averaged dynamics, improving on a previous rate of 1/4.
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Key points
- Investigates the averaging principle for stochastic hyperbolic-parabolic equations with two time-scales.
- Considers systems where both slow and fast components are perturbed by multiplicative noises.
- Proves a strong convergence rate of 1/2 for the slow component to the averaged dynamics.
- This rate improves upon the previously established order of 1/4.
AI-generated from the title and abstract; the full text is not read.
Abstract
In this article, we investigate averaging principle for stochastic hyperbolicparabolic equations with two time-scales, in which both the slow and fast components are perturbed by multiplicative noises. Particularly, we prove that the rate of strong convergence for the slow component to the averaged dynamics is of order 1/2, which significantly improves the order 1/4 established in our previous work.
The authors' abstract, as published at the source. Stochastics and Dynamics, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics