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<p>In this article, we establish the Freidlin-Wentzell type large deviation principle for stochastic fractional conservation laws with small multiplicative noise in the kinetic formulation framework. The weak convergence method and the doubling of variables method play a crucial role. As a consequence, we also establish the central limit theorem and moderate deviation principle for the underlying problem under constant initial data.</p>

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Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle

  • 期刊论文

  • 发表日期：

    2025年4月14日

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  • Soumya Ranjan Behera,
  • Ananta K. Majee

摘要

In this article, we establish the Freidlin-Wentzell type large deviation principle for stochastic fractional conservation laws with small multiplicative noise in the kinetic formulation framework. The weak convergence method and the doubling of variables method play a crucial role. As a consequence, we also establish the central limit theorem and moderate deviation principle for the underlying problem under constant initial data.