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math.AP2026
Dirichlet Eigenvalues for the Logarithmic-Hardy operator
Tangrui Liao, Ying Wang, Minghua Yang
In this paper, we study the Dirichlet eigenvalue problem for the logarithmic Hardy operator, defined as the logarithmic Laplacian with a critical logarithmic potential, in a bounde…
math.AP2026
On the stability of the solutions to compressible Navier-Stokes equations
Qiaojie Dong, Min Li, Yatao Li +1
This paper investigates the continuous dependence (stability) of solutions to the barotropic compressible Navier--Stokes equations in critical Besov spaces. Using the Lagrangian ap…
math.AP2026
Well-posedness and vanishing rotational limit for the rotating incompressible Navier-Stokes equations in hybird Besov space
Zihua Guo, Zihao Song, Minghua Yang
We establish the well-posedness of the 3D rotating incompressible Navier-Stokes equations with critical initial data for , where is defi…