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math.AP2021★ 1 cited
Energy equality for the isentropic compressible Navier-Stokes equations without upper bound of the density
Yulin Ye, Yanqing Wang, Huan Yu
In this paper, we are concerned with the minimal regularity of both the density and the velocity for the weak solutions keeping energy equality in the isentropic compressible Navie…
math.AP2021★ 6 cited
The role of density in the energy conservation for the isentropic compressible Euler equations
Yanqing Wang, Yulin Ye, Huan Yu
In this paper, we study Onsager's conjecture on the energy conservation for the isentropic compressible Euler equations via establishing the energy conservation criterion involving…
math.AP2021
Local Well-posedness of Two Dimensional SQG Equation and Related Models
Huan Yu, Wanwan Zhang
In this paper, we present a new and elementary proof of the local existence and uniqueness of the classical solution to the Cauchy problem of the two-dimensional generalized surfac…