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On Vacuum Free Boundary Problem of the Spherically Symmetric Euler Equations with Damping and Solid Core
Yan-Lin Wang
In this paper, the global existence of smooth solution and the long-time asymptotic stability of the equilibrium to vacuum free boundary problem of the spherically symmetric Euler…
Zero-viscosity Limit for Boussinesq Equations with Vertical Viscosity and Navier Boundary in the Half Plane
Mengni Li, Yan-Lin Wang
In this paper we study the zero-viscosity limit of -D Boussinesq equations with vertical viscosity and zero diffusivity, which is a nonlinear system with partial dissipation ari…
Nonlinear Asymptotic Stability of Gravitational Hydrostatic Equilibrium for Viscous White Dwarfs with Symmetric Perturbations
Tao Luo, Yan-Lin Wang, Huihui Zeng
We prove the nonlinear asymptotic stability of the gravitational hydrostatic equilibrium for the general equation of state of pressure-density relation in the framework of vacuum f…
Global Gevrey hypoellipticity for the twisted Laplacian on forms
Wei-Xi Li, Alberto Parmeggiani, Yan-Lin Wang
We study in this paper the global hypoellipticity property in the Gevrey category for the generalized twisted Laplacian on forms. Different from the 0-form case, where the twisted…