Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals

Guangying Lv; Jinqiao Duan

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arXiv · 1410.7691

Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals

Guangying Lv·Jinqiao Duan

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Abstract

This work is about the existence of martingale solutions and weak solutions for a stochastic nonlocal Burgers equation on bounded intervals. The existence of a martingale solution is shown by using a Galerkin approximation, Prokhorov's theorem and Skorokhod's embedding theorem. The same Galerkin approximation also leads to the existence of weak solution for the corresponding deterministic nonlocal Burgers equation on a bounded domain.

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BibTeX RIS

Guangying Lv, Jinqiao Duan. 2014-10-28. Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals. https://arxiv.org/abs/1410.7691

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