What question did this study set out to answer?

The central aim is to establish a strengthened large deviation principle (LDP) for stochastic primitive equations modeling anisotropic geophysical flows.

March 15, 2026Infinite Dimensional Analysis Quantum Probability and Related Topics

Strengthened Large Deviation Principle via Pathwise Regularity for Anisotropic Stochastic Primitive Equations

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The central aim is to establish a strengthened large deviation principle (LDP) for stochastic primitive equations modeling anisotropic geophysical flows.
Utilized the weak convergence method to establish an LDP in a specified space.
Analyzed the solutions' pathwise regularity under small noise conditions.
Addressed the challenges of intrinsic anisotropy, particularly in the convection term.
Demonstrated that solutions possess enhanced pathwise regularity, belonging almost surely to a particular space.
Strengthened the LDP to a finer topology, providing a more precise asymptotic behavior description.
Showed notable differences from traditional anisotropic Navier-Stokes cases.

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Implication

This research demonstrates enhanced pathwise regularity and strengthens large deviation principles in stochastic geophysical flow models, suggesting improved understanding of their behavior.

Cite This Study

Sun et al. (2026) studied this question.

synapsesocial.com/papers/69b64d5cb42794e3e660e40d https://doi.org/10.1142/s0219025726500025

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Implication

This research demonstrates enhanced pathwise regularity and strengthens large deviation principles in stochastic geophysical flow models, suggesting improved understanding of their behavior.

Strengthened Large Deviation Principle via Pathwise Regularity for Anisotropic Stochastic Primitive Equations

Key Points

Discussion

Implication

Cite This Study

Strengthened Large Deviation Principle via Pathwise Regularity for Anisotropic Stochastic Primitive Equations

Key Points

Discussion

Implication

Cite This Study

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