7 papers · 1 filter
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…