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math.AP2014
On a time-discrete approach to solving Navier-Stokes systems
Kazuhiro Horihata
We present a new scheme for solving Navier-Stokes systems. This is inspired by material differentiation and combined with discrete Morse semi-flow. The solution has the first energ…
math.AP2014
On a new harmonic heat flow with the reverse Hölder inequalities
Kazuhiro Horihata
This paper first proposes a new approximate scheme to construct a harmonic heat flow between a parabolic cylinder to a sphere. Y.Chen and M.Struwe have proved an existence and…