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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…