Journal of Mathematical Fluid Mechanics· 2026Q1
The Large Deviation Principle for the Stochastic 3D Primitive Equations with Transport Noise
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- Q1SCImago
- 2026year
Short summary
A small-noise large deviation principle is proven for the 3D primitive equations with transport noise and turbulent pressure, handling noise acting on full horizontal velocity.
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Key points
- Proves a small-noise large deviation principle for 3D primitive equations.
- Includes transport noise and turbulent pressure.
- Addresses noise acting on the full horizontal velocity, a significant mathematical challenge.
- Covers both Stratonovich and Itô noise interpretations.
AI-generated from the title and abstract; the full text is not read.
Abstract
Abstract We prove the small-noise large deviation principle for the three-dimensional primitive equations with transport noise and turbulent pressure. Transport noise is important for geophysical fluid dynamics applications, as it takes into account the effect of small scales on the large scale dynamics. The main mathematical challenge is that we allow for the transport noise to act on the full horizontal velocity, therefore leading to a non-trivial turbulent pressure, which requires an involved analysis to obtain the necessary energy bounds. Both Stratonovich and Itô noise are treated.
The authors' abstract, as published at the source. Journal of Mathematical Fluid Mechanics, 2026 · DOI ↗
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