43 citations · 128 across the 13 of their papers we have counts for
13 papers
Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane
Shaoqing Chen, Yongzhong Sun
It has been conjectured that generic smooth solutions of the two-dimensional Euler equation exhibit linear growth of vorticity gradients. We prove an elementary arbitrary-backgroun…
On global-in-time weak solutions to a 2D full compressible non-resistive MHD system
Yang Li, Yongzhong Sun
In this paper, we consider a two-dimensional non-resistive magnetohydrodynamic model, taking the fluctuation of absolute temperature into account. Combining the method of weak conv…
Low Mach number limit on thin domains
Matteo Caggio, Donatella Donatelli, Sarka Necasova +1
We consider the compressible Navier-Stokes system describing the motion of a viscous fluid confined to a straight layer . We show that the weak solutio…
Large time behavior for a compressible two-fluid model with algebraic pressure closure and large initial data
Yang Li, Yongzhong Sun, Ewelina Zatorska
In this paper, we consider a compressible two-fluid system with a common velocity field and algebraic pressure closure in dimension one. Existence, uniqueness and stability of glob…
Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids
Yang Li, Yongzhong Sun
We consider a two-dimensional MHD model describing the evolution of viscous, compressible and electrically conducting fluids under the action of vertical magnetic field without res…
Homogenization of a non-homogeneous fluid
Eduard Feireisl, Yong Lu, Yongzhong Sun
We consider a non--homogeneous incompressible and heat conducting fluid confined to a 3D domain perforated by tiny holes. The ratio of the diameter of the holes and their mutual di…
Global weak solutions to the one-dimensional compressible heat-conductive MHD equations without resistivity
Yang Li, Yongzhong Sun
We investigate the initial-boundary value problem for one-dimensional compressible, heat-conductive, non-resistive MHD equations of viscous, ideal polytropic fluids in the Lagrangi…
Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity
Yang Li, Yongzhong Sun
We study the initial-boundary value problem for 1D compressible MHD equations of viscous non-resistive fluids in the Lagrangian mass coordinates. Based on the estimates of upper an…
Well-posedness of the plasma-vacuum interface problem for ideal incompressible MHD
Yongzhong Sun, Wei Wang, Zhifei Zhang
In this paper, we prove the local well-posedness of plasma-vacuum interface problem for ideal incompressible magnetohydrodynamics under the stability condition: the magnetic field…
On the motion of viscous, compressible and heat-conducting liquids
Eduard Feireisl, Antonin Novotny, Yongzhong Sun
We consider a system of equations governing the motion of a viscous, compressible, and heat conducting liquid-like fluid, with a general EOS of Mie-Grueneisen type. In addition, we…
Nonlinear stability of current-vortex sheet to the incompressible MHD equations
Yongzhong Sun, Wei Wang, Zhifei Zhang
In this paper, we solve a long-standing open problem: nonlinear stability of current-vortex sheet in the ideal incompressible Magneto-Hydrodynamics under the linear stability condi…
A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system
Eduard Feireisl, Antonin Novotny, Yongzhong Sun
We show that any weak solution to the full Navier-Stokes-Fourier system emanating from the data belonging to the Sobolev space W^{3,2} remains regular as long as the velocity gradi…
A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations
Yongzhong Sun, Chao Wang, Zhifei Zhang
We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The…