2 papers
math.AP2026
A Generalized Framework for Singular Fractional Burgers Equations with Stochastic Forcing
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we investigate the regularization effect of fractional stochastic forcing on Burgers-type equations with fractional dissipation, with an application to the Degasperi…
math.AP2025
Well-posedness and regularity for the Fractional Rough Burgers equation in Sobolev spaces with an application
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time white noise in space. For the higher dissipation , w…