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math.AP2026
Local-in-time strong solvability of Navier--Stokes type variational inequalities by Rothe's method
Takahito Kashiwabara
We consider parabolic variational inequalities in a Hilbert space , which have a non-monotone nonlinearity of Navier--Stokes type represented by a bilinear operator $B: V \times…
math.AP2026
Single exponential -upper bounds for the primitive equations
Takahito Kashiwabara
The three dimensional primitive equations with full viscosity are considered in a horizontally periodic box , which are subject to either the homogeneous Neumann or Dirichlet co…