3 papers
math.AP2021
Global existence for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
In this paper, we study a doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow. In the special case p=2 our…
math.AP2021
Regularity estimates for the p-Sobolev flow
Tuomo Kuusi, Masashi Misawa, Kenta Nakamura
We study doubly nonlinear parabolic equation arising from the gradient flow for p-Sobolev type inequality, referred as p-Sobolev flow from now on, which includes the classical Yama…
math.AP2019
Asymptotic profile for diffusion wave terms of the compressible Navier-Stokes-Korteweg system
Takayuki Kobayashi, Masashi Misawa, Kazuyuki Tsuda
Asymptotic profile for diffusion wave terms of solutions to the compressible Navier-Stokes-Korteweg system is studied on . The diffusion wave with time decay estimate is studi…