Work

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

Year: 2025

Type: article

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

Source: Stochastic Partial Differential Equations Analysis and Computations

DOI: 10.1007/s40072-025-00356-1

Authors: Soumya Ranjan Behera, Ananta K. Majee

Institution: Indian Institute of Technology Delhi

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Council of Scientific and Industrial Research, India

OpenAlex ID: W4409410688