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math.AP2025
Mosco convergence framework for singular limits of gradient flows on Hilbert spaces with applications
Yoshikazu Giga, Michał Łasica, Piotr Rybka
We consider the question of convergence of a sequence of gradient flows defined on different Hilbert spaces. In order to give meaning to this idea, we introduce a notion of connect…
math.AP2025
Remarks on graph-like forward self-similar solutions to the surface diffusion flow equations
Yoshikazu Giga, Sho Katayama
We clarify existence and non-existence of graph-like forward self-similar solutions to the planar surface diffusion equations.
math.AP2025
On periodic traveling wave solutions with or without phase transition to the Navier-Stokes-Korteweg and the Euler-Korteweg equations
Yoshikazu Giga, Takahito Kashiwabara, Haruki Takemura
The Navier-Stokes-Korteweg and the Euler-Korteweg equations are considered in isothermal setting. These are diffuse interface models of two-phase flow. For the Navier-Stokes-Kortew…