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The technique of convex integration applied to deterministic partial differential equations of hydrodynamics has led to various non-uniqueness results very recently. We review such developments concerning this technique applied to stochastic partial differential equations of hydrodynamics and suggest some problems.

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Recent Developments on Convex Integration Technique Applied to Stochastic Partial Differential Equations

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  • 发表日期：

    2025年

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  • Kazuo Yamazaki

摘要

The technique of convex integration applied to deterministic partial differential equations of hydrodynamics has led to various non-uniqueness results very recently. We review such developments concerning this technique applied to stochastic partial differential equations of hydrodynamics and suggest some problems.