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math.AP2017
Ill-Posedness of the Third Order NLS Equation with Raman Scattering Term
Nobu Kishimoto, Yoshio Tsutsumi
We consider the ill-posedness and well-posedness of the Cauchy problem for the third order NLS equation with Raman scattering term on the one dimensional torus. It is regarded as a…
math.AP2017
Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain
Nobu Kishimoto, Tsuyoshi Yoneda
We consider existence of global solutions to equations for three-dimensional rotating fluids in a periodic frame provided by a sufficiently large Coriolis force. The Coriolis force…