130 citations · 203 across the 8 of their papers we have counts for
8 papers
Global well-posedness of 2D incompressible MHD equations without magnetic diffusion
Shijin Ding, Ronghua Pan, Yi Zhu
In recent years, the global existence of classical solutions to the Cauchy problem for 2D incompressible viscous MHD equations without magnetic diffusion has been proved in \cite{R…
Modeling Aurora Type Phenomena by Short Wave-Long Wave Interactions in Multi-Dimensional Large MHD Flows
Hermano Frid, Daniel R. Marroquin, Ronghua Pan
We establish the convergence of an approximation scheme to a model for aurora type phenomena. The latter, mathematically, means a system describing the short wave-long wave (SW-LW)…
Global classical solutions of 3D viscous MHD system without magnetic diffusion on periodic boxes
Ronghua Pan, Yi Zhou, Yi Zhu
In this paper, we study the global existence of classical solutions to the three dimensional incompressible viscous magneto-hydrodynamical system without magnetic diffusion on peri…
On classical solutions for viscous polytropic fluids with degenerate viscosities and vacuum
Yachun Li, Ronghua Pan, Shengguo Zhu
In this paper, we consider the three-dimensional isentropic Navier-Stokes equations for compressible fluids with viscosities depending on density in a power law and allowing initia…
Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics
Geng Chen, Ronghua Pan, Shengguo Zhu
For the Euler equations of isentropic gas dynamics in one space dimension, also knowns as p-system in Lagrangian coordinate, it is known that the density can be arbitrarily close t…
On classical solutions to 2D Shallow water equations with degenerate viscosities
Yachun Li, Ronghua Pan, Shengguo Zhu
In this paper, the -D isentropic Navier-Stokes systems for compressible fluids with density-dependent viscosity coefficients are considered. In particular, we assume that the vi…