3 papers
math.AP2026
On existence of a collapsed bubble with surface tension in viscous incompressible fluid
Yoshikazu Giga, Zhongyang Gu
We consider the one-phase free boundary problem for the incompressible Navier-Stokes equations in (). The surface tension is taken into account. The initial d…
math.AP2024
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…
math.AP2024
Anomalous smoothing effect on the incompressible Navier-Stokes-Fourier limit from Boltzmann with periodic velocity
Zhongyang Gu, Xin Hu, Tsuyoshi Yoneda
Adding some nontrivial terms composed from a microstructure, we prove the existence of a global-in-time weak solution, whose enstrophy is bounded for all the time, to an incompress…