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math.AP2026
On the baroclinic instability of inviscid non-conducting Boussinesq equations with rotation in 3-D
Jingjing Mao, Yan-Lin Wang
In this paper, we prove the nonlinear instability of a given vertical shear of velocity between two rigid plane for the 3-D inviscid, non-conducting Boussinesq equations with rotat…
math.AP2025
Regularity and dynamics of weak solutions for one-dimensional compressible Navier-Stokes equations with vacuum
Jin Tan, Yan-Lin Wang, Lan Zhang
In the spirit of D. Hoff's weak solution theory for the compressible Navier-Stokes equations (CNS) with bounded density, in this paper we establish the global existence and regular…