5 papers
Results of Fractional Rough Burgers equation in space and its application
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time noise in space. For the higher dissipation $γ\in(\frac{4}{3},…
Non-implosion mechanism of 3D incompessible Euler equations
Wenjie Deng, Song Jiang, Minling Li +1
This paper studies the non-implosion mechanism for the 3D incompressible Euler equations. We prove that vorticity blows up in finite time, whereas the $(p\in…
Well-posedness of Generalized Fractional Singular Burgers equation driven by
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the generalized solution of Fractional Singular Burgers equation driving by . We establish a framework to describe the equatio…
Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations
Chen Liang, Zhaonan Luo, Zhaoyang Yin
In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that the…
Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion
Chen Liang, Zhaonan Luo, Zhaoyang Yin
This paper is devoted to the uniform vanishing damping limit of the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion. Firstly, we find that fractional stress ten…