32 citations · 142 across the 27 of their papers we have counts for
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math.CA2017★ 19 cited
Elastic curves and phase transitions
Tatsuya Miura
This paper is devoted to classical variational problems for planar elastic curves of clamped endpoints, so-called Euler's elastica problem. We investigate a straightening limit tha…
math.AP2017
On singular limit equations for incompressible fluids in moving thin domains
Tatsu-Hiko Miura
We consider the incompressible Euler and Navier-Stokes equations in a three-dimensional moving thin domain. Under the assumption that the moving thin domain degenerates into a two-…