4 citations · 4 across the 4 of their papers we have counts for
6 papers
Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations
Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
We study the regular sets of local energy solutions to the Navier-Stokes equations in terms of conditions on the initial data. It is shown that if a weighted norm of the init…
Short time regularity of Navier-Stokes flows with locally initial data and applications
Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
We prove short time regularity of suitable weak solutions of 3D incompressible Navier-Stokes equations near a point where the initial data is locally in . The result is applie…
On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain
Yasunori Maekawa, Hideyuki Miura, Christophe Prange
We study the three-dimensional Navier-Stokes equations in the presence of the axisymmetric linear strain, where the strain rate depends on time in a specific manner. It is known th…
Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space
Kyungkeun Kang, Hideyuki Miura, Tai-Peng Tsai
We derive refined estimates of the Green tensor of the stationary Stokes system in the half space. We then investigate the spatial asymptotics of stationary solutions of the incomp…
Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data
Kyungkuen Kang, Hideyuki Miura, Tai-Peng Tsai
We prove the unique existence of solutions of the 3D incompressible Navier-Stokes equations in an exterior domain with small non-decaying boundary data, for or $t \in (0,…
Point singularities of 3D stationary Navier-Stokes flows
Hideyuki Miura, Tai-Peng Tsai
This article characterizes the singularities of very weak solutions of 3D stationary Navier-Stokes equations in a punctured ball which are sufficiently small in weak .