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math.AP2024
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…
math.AP2023
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…
math.AP2023★ 1 cited
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…