1 citations · 2 across the 9 of their papers we have counts for
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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…
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…
On a dryout point for a stationary incompressible thermal fluid with phase transition in a pipe
Yoshikazu Giga, Zhongyang Gu
A dryout point is recognized as the position where the phase transition from liquid to vapor occurs. In the one-dimensional case, by solving the stationary incompressible Navier-St…
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…
The Helmholtz decomposition of a type vector field in general unbounded domains
Yoshikazu Giga, Zhongyang Gu
We consider a space of vector fields with bounded mean oscillation whose ``normal'' component to the boundary is well-controlled. In the case when the dimension , w…
The Helmholtz decomposition of a type vector field in a slightly perturbed half space
Yoshikazu Giga, Zhongyang Gu
We introduce a space of vector fields with bounded mean oscillation whose normal component to the boundary is well-controlled. We establish its Helmholtz decomposition in the…
The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain
Yoshikazu Giga, Zhongyang Gu
We introduce a space of vector fields with bounded mean oscillation whose ``tangential'' and ``normal'' components to the boundary behave differently. We establish its Helmholtz de…