1 citations · 2 across the 9 of their papers we have counts for
9 papers
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…
Extension theorem for in a domain
Zhongyang Gu
The space, also known as the local space, is the space which is uniformly locally in addition. In this article, we establish an extension theorem for the $b…
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…
Normal trace for vector fields of bounded mean oscillation
Yoshikazu Giga, Zhongyang Gu
We introduce various spaces of vector fields of bounded mean oscillation () defined in a domain so that normal trace on the boundary is bounded when its divergence is well con…