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math.AP2021
Gaussian bounds of fundamental matrix and maximal regularity for Lamé system with rough coefficients
Huan Xu
The purpose of this paper is twofold. First, we use a classical method to establish Gaussian bounds of the fundamental matrix of a generalized parabolic Lamé system with only bound…
math.AP2021★ 1 cited
Maximal regularity for solutions to inhomogeneous incompressible Navier-Stokes equations
Huan Xu
This paper is devoted to the maximal regularity and asymptotic behavior for solutions to the inhomogeneous incompressible Navier-Stokes equations under a scaling-invariant sm…
math.AP2015★ 1 cited
On the Well-posedness of 2-D Incompressible Navier-Stokes Equations with Variable Viscosity in Critical Spaces
Huan Xu, Yongsheng Li, Xiaoping Zhai
In this paper, we first prove the local well-posedness of the 2-D incompressible Navier-Stokes equations with variable viscosity in critical Besov spaces with negative regularity i…