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17 papers
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…
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…
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…
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…
Global regularity and optimal decay estimates of large solutions to the compressible FENE system
Zhaonan Luo, Zhiying Meng, Zhaoyang Yin
In this paper, we are concerned with the compressible FENE dumbbell model. By virtue of the dissipative structure and the interpolation method, we firstly prove global regularity i…
Global existence and optimal decay rate of weak solutions to some inviscid Oldroyd-B models
Wenjie Deng, Zhaonan Luo, Zhaoyang Yin
This paper is devoted to global existence and optimal decay rate of weak solutions to some inviscid Oldroyd-B models with center diffusion. By virtue of the properties of Calderon-…
Optimal decay rate for the generalized Oldroyd-B model with only stress tensor diffusion in
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper, we are concerned with optimal decay rate for the 2-D generalized Oldroyd-B model with only stress tensor diffusion . In the case , we first establish o…
Global existence and optimal decay rate of weak solutions to the co-rotation Hooke dumbbell model
Wenjie Deng, Zhaonan Luo, Zhaoyang Yin
In this paper, we mainly study global existence and optimal decay rate of weak solutions to the co-rotation Hooke dumbbell model. This micro-macro model is a coupling of the…
Optimal decay rate for the 2-D compressible Oldroyd-B and Hall-MHD model
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper, we are concerned with long time behavior of the strong solutions to the 2-D compressible Oldroyd-B and Hall-MHD model. By virtue of the improved Fourier splitting me…
Large time behavior of global strong solutions to the 2-D compressible FENE dumbbell model
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper, we mainly study large time behavior of the strong solutions to the 2-D compressible finite extensible nonlinear elastic (FENE) dumbbell model. The Fourier splitting…
Global strong solutions and optimal decay to the compressible FENE dumbbell model
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper, we are concerned with the global well-posedness and decay rate for the strong solutions of the compressible finite extensible nonlinear elastic (FENE) dumbbell…
Global regularity and large time behavior for some inviscid Oldroyd-B models in
Wenjie Deng, Zhaonan Luo, Zhaoyang Yin
In this paper, we are concerned with global strong solutions and large time behavior for some inviscid Oldroyd-B models. We first establish the energy estimate and B-K-M criterion…
Global strong solutions and large time behavior to the compressible co-rotation FENE dumbbell model of polymeric flows near equilibrium
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper, we mainly study global well-posedness and optimal decay rate for the strong solutions of the compressible co-rotation finite extensible nonlinear elastic (FENE) dumb…
Large time behavior to the FENE dumbbell model of polymeric flows near equilibrium
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper we mainly study large time behavior for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. There is a lot results about the …
Vanishing viscosity limit to the FENE dumbbell model of polymeric flows
Zhaonan Luo, Wei Luo, Zhaoyang Yin
In this paper we mainly investigate the inviscid limit for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. By virtue of the Littlewood-Paley…
Global conservative solution for the periodic -Camassa-Holm equation
Wei Luo, Zhaoyang Yin
In this paper we mainly investigate the periodic -Camassa-Holm equation. We show the existence of global conservative solutions to the Cauchy problem of the periodic -Camassa…