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math.AP2018
Navier--Stokes equations in a curved thin domain
Tatsu-Hiko Miura
We consider the three-dimensional incompressible Navier--Stokes equations in a curved thin domain with Navier's slip boundary conditions. The curved thin domain is defined as a reg…
math.NA2018
Hamilton--Jacobi equations on an evolving surface
Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura +1
We consider the well-posedness and numerical approximation of a Hamilton--Jacobi equation on an evolving hypersurface in . Definitions of viscosity sub- and supersolut…