28 citations · 46 across the 4 of their papers we have counts for
4 papers
A formulation for dissolution in inhomogeneous temperature field
Hiroki Fukagawa, Takeshi Tsuji
We propose equations governing the dissolution in inhomogeneous temperature field in terms of the variational principle. The derived equations clarify that the interface energy bet…
A variational formulation for dissipative fluids with interfaces in an inhomogeneous temperature field
Hiroki Fukagawa, Chun Liu, Takeshi Tsuji
We propose a formalization for dissipative fluids with interfaces in an inhomogeneous temperature field from the viewpoint of a variational principle. Generally, the Lagrangian of…
A Variational Principle for Dissipative Fluid Dynamics
Hiroki Fukagawa, Youhei Fujitani
In the variational principle leading to the Euler equation for a perfect fluid, we can use the method of undetermined multiplier for holonomic constraints representing mass conserv…
Clebsch Potentials in the Variational Principle for a Perfect Fluid
Hiroki Fukagawa, Youhei Fujitani
Equations for a perfect fluid can be obtained by means of the variational principle both in the Lagrangian description and in the Eulerian one. It is known that we need additional…