4 papers
Global regularity and sharp decay rates to the 1D hypo-viscous compressible Navier-Stokes equations
Chen Liang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the global regularity and sharp decay rates for the isentropic hypo-viscous compressible Navier-Stokes equations in 1D. Firstly, we prove the global stabili…
A Besov-based integration-by-parts method for the incompressible Navier-Stokes equations
Xinyu Cheng, Zhaonan Luo, Sheng Wang
This note introduces a novel numerical analysis framework for the incompressible Navier-Stokes equations based on Besov spaces. The key contribution of this note is to establish th…
Global well-posedness and uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model
Xinyu Cheng, Zhaonan Luo, Zhaojie Yang +1
In this paper, we consider global strong solutions and the uniform-in-time vanishing damping limit for the inviscid Oldroyd-B model in , where and . The well-recogni…
Viscosity-uniform error estimates for a semi-implicit Fourier method in Besov spaces
Xinyu Cheng, Zhaonan Luo, Sheng Wang
We prove error estimates for a semi-implicit Fourier--Galerkin method for two-dimensional incompressible flow on the torus, with viscosity . The temporal error is first…