3 papers
math.AP2026
Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The -Plane
Robin Ming Chen, Tian Dai, Dehua Wang +1
We study the spectral stability of periodic shear flows for the two-dimensional Navier--Stokes equations on the -plane in the long-wave regime. It is known that non-rotating per…
math.AP2026
Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations
Lin-An Li, Dehua Wang, Yi Wang
We investigate the vanishing viscosity limit for the one-dimensional compressible Navier-Stokes equations in the regime of two interacting shock waves from the same characteristic…
math.AP2026
On weak solutions for the stationary Cahn-Hillard-Navier-Stokes equations with singular potential
Zhilei Liang, Sen Liu, Jiangyu Shuai +1
The stationary Navier--Stokes--Cahn--Hilliard equations are considered, governing the motion of a compressible, two-phase fluid mixture with a diffuse interface. The free energy de…