94 citations · 219 across the 11 of their papers we have counts for
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Global Existence and Asymptotic Equivalence to Barenblatt-type Solutions for the Physical Vacuum Free Boundary Problem of Damped Compressible Euler Equations in M-D
Huihui Zeng
For the physical vacuum free boundary problem of the damped compressible Euler equations in both 2D and 3D, we prove the global existence of smooth solutions and justify their time…
On the Free Boundary Problems of 3-D Compressible Euler Equations Coupled or Uncoupled With a Nonlinear Poisson Equation
Tao Luo, Konstantina Trivisa, Huihui Zeng
For the problem of the non-isentropic compressible Euler Equations coupled with a nonlinear Poisson equation with the electric potential satisfying the Dirichlet boundary condition…
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 Solution to the Vacuum Free Boundary Problem with Physical Singularity of Compressible Euler Equations with Damping and Gravity
Huihui Zeng
The global existence of smooth solutions to the vacuum free boundary problem with physical singularity of compressible Euler equations with damping and gravity is proved in space d…
Time-Asymptotics of Physical Vacuum Free Boundaries for Compressible Inviscid Flows with Damping
Huihui Zeng
In this paper, we prove the leading term of time-asymptotics of the moving vacuum boundary for compressible inviscid flows with damping to be that for Barenblatt self-similar solut…
Almost Global Solutions to the Three-dimensional Isentropic Inviscid Flows with Damping in Physical Vacuum Around Barenlatt Solutions
Huihui Zeng
For the three-dimensional vacuum free boundary problem with physical singularity that the sound speed is -Hlder continuous across the vacuum boundary of…
On the Free Surface Motion of Highly Subsonic Heat-conducting Inviscid Flows
Tao Luo, Huihui Zeng
For a free surface problem of a highly subsonic heat-conducting inviscid flow, motivated by a geometric approach developed by Christodoulou and Lindblad in the study of the free su…
Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem with Degenerate Density Dependent Viscosities
Tao Luo, Zhouping Xin, Huihui Zeng
The nonlinear asymptotic stability of Lane-Emden solutions is proved in this paper for spherically symmetric motions of viscous gaseous stars with the density dependent shear and b…
On Nonlinear Asymptotic Stability of the Lane-Emden Solutions for the Viscous Gaseous Star Problem
Tao Luo, Zhouping Xin, Huihui Zeng
This paper proves the nonlinear asymptotic stability of the Lane-Emden solutions for spherically symmetric motions of viscous gaseous stars if the adiabatic constant lies in th…
Global Solutions to the Gas-Vacuum Interface Problem of Isentropic Compressible Inviscid Flows with Damping in Spherically Symmetric Motions and Physical Vacuum
Huihui Zeng
For the physical vacuum free boundary problem with the sound speed being -Hlder continuous near vacuum boundaries of the three-dimensional compressible E…
Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with Damping
Tao Luo, Huihui Zeng
For the physical vacuum free boundary problem with the sound speed being -Hlder continuous near vacuum boundaries of the one-dimensional compressible Eul…
Well-Posedness for the Motion of Physical Vacuum of the Three-dimensional Compressible Euler Equations with or without Self-Gravitation
Tao Luo, Zhouping Xin, Huihui Zeng
This paper concerns the well-posedness theory of the motion of physical vacuum for the compressible Euler equations with or without self-gravitation. First, a general uniqueness th…