5 papers · 1 filter
Periodic Solutions to the Steady Viscous Burgers Equation: A Constructive Example
Quansen Jiu, Yuhan Cao
In this paper, we consider the periodic problem to steady viscous Burgers equation with an periodic and external force. Our main aim is to construct periodic solutions to this mode…
Non-uniform Continuity for the MHD equations with only Magnetic Diffusion
Quansen Jiu, Yaowei Xie
In this paper, we prove the non-uniform continuity of the data-to-solution map for the incompressible magnetohydrodynamic (MHD) equations with only magnetic diffusion in Sobolev sp…
Global Regularity for Non-resistive or Non-viscous MHD System on the Torus
Quansen Jiu, Yaowei Xie, Zhihong Yan
In this paper, we establish the global well-posedness of the incompressible magnetohydrodynamics (MHD) system on dimensional periodic boxes with either no magnetic…
On Liouiville Type Theorem for the 3D Isentropic Navier-Stokes System without D-condition
Quansen Jiu, Jie Tan, Zhihong Yan
In this paper, we establish Liouville-type theorems for the steady compressible Navier-Stokes system. Assuming a smooth solution \(u \in L^p(\mathbb{R}^3)\), \(3 \le p \le \frac{9}…
Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity
Quansen Jiu, Lin Ma, Fengchao Wang
In this paper, we consider the initial-boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions i…