@article{CTT100876092, author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai}, title = {Local regularity conditions on initial data for local energy solutions of the Navier-Stokes equations}, journal = {Partial Differential Equations and Applications}, year = 2022, } @article{CTT100876099, author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai}, title = {Regular sets and an ϵ-regularity theorem in terms of initial data for the Navier-Stokes equations}, journal = {Pure and Applied Analysis}, year = 2021, } @article{CTT100876095, author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai}, title = {Short time regularity of Navier-Stokes flows with locally L3 initial data and applications}, journal = {International Mathematics Research Notices. IMRN}, year = 2021, } @article{CTT100849087, author = {Hideyuki Miura and Yasunori Maekawa and Christophe Prange}, title = {Estimates for the Navier-Stokes equations in the half-space for nonlocalized data.}, journal = {Analysis & PDE}, year = 2020, } @article{CTT100837246, author = {Hideyuki Miura and Yasunori Maekawa and Christophe Prange}, title = {On Stability of Blow-Up Solutions of the Burgers Vortex Type for the Navier-Stokes Equations with a Linear Strain}, journal = {}, year = 2019, } @article{CTT100793991, author = {Hideyuki Miura and Yasunori Maekawa and Christophe Prange}, title = {Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space}, journal = {Communications in Mathematical Physics}, year = 2019, } @article{CTT100783002, author = {Yasunori Maekawa and Hideyuki Miura}, title = {On isomorphism for the space of solenoidal vector fields and its application to the incompressible flows}, journal = {SIAM Journal on Mathematical Analysis}, year = 2018, } @article{CTT100782997, author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai}, title = {Green tensor of the Stokes system and asymptotics of stationary Navier-Stokes flows in the half space}, journal = {Advances in Mathematics}, year = 2017, } @article{CTT100782995, author = {Pierre Germain and Tej-Eddine Ghoul and Hideyuki Miura}, title = {On uniqueness for the harmonic map heat flow in supercritical dimensions}, journal = {Communications on Pure and Applied Mathematics}, year = 2017, } @article{CTT100738631, author = {Yasunori Maekawa and Hideyuki Miura}, title = {On domain of Poisson operators and factorization for divergence form elliptic operators}, journal = {Manuscripta Mathematica}, year = 2017, } @article{CTT100707774, author = {Yasunori Maekawa and Hideyuki Miura}, title = {ON POISSON OPERATORS AND DIRICHLET-NEUMANN MAPS IN Hs FOR DIVERGENCE FORM ELLIPTIC OPERATORS WITH LIPSCHITZ COEFFICIENTS}, journal = {Transactions of the American Mathematical Society}, year = 2016, } @article{CTT100724019, author = {Tsubasa Itoh and Hideyuki Miura and Tsuyoshi Yoneda}, title = {Remark on Single Exponential Bound of the Vorticity Gradient for the Two-Dimensional Euler Flow Around a Corner}, journal = {Journal of Mathematical Fluid Mechanics}, year = 2016, } @article{CTT100801829, author = {前川 泰則 and Hideyuki Miura}, title = {ON ISOMORPHISM FOR THE SPACE OF SOLENOIDAL VECTOR FIELDS AND ITS APPLICATION TO THE STOKES PROBLEM (Mathematical Analysis of Viscous Incompressible Fluid)}, journal = {数理解析研究所講究録}, year = 2015, } @article{CTT100707775, author = {Yasunori Maekawa and Hideyuki Miura}, title = {Remark on the Helmholtz decomposition in domains with noncompact boundary}, journal = {Mathematische Annalen}, year = 2014, } @article{CTT100707776, author = {Yasunori Maekawa and Hideyuki Miura}, title = {On fundamental solutions for non-local parabolic equations with divergence free drift}, journal = {Advances in Mathematics}, year = 2013, } @article{CTT100707777, author = {Yasunori Maekawa and Hideyuki Miura}, title = {Upper bounds for fundamental solutions to non-local diffusion equations with divergence free drift}, journal = {Journal of Functional Analysis}, year = 2013, } @article{CTT100707779, author = {Kyungkeun Kang and Hideyuki Miura and Tai-Peng Tsai}, title = {Asymptotics of small exterior Navier-Stokes flows with non-decaying boundary data}, journal = {Communications in Partial Differential Equations}, year = 2012, } @article{CTT100793985, author = {Hideyuki Miura and Yoshikazu Giga}, title = {On Vorticity Directions near Singularities for the Navier-Stokes Flows with Infinite Energy}, journal = {}, year = 2011, } @article{CTT100707780, author = {Hideyuki Miura and Tai-Peng Tsai}, title = {Point singularities of 3D stationary Navier-Stokes flows}, journal = {Journal of Mathematical Fluid Mechanics}, year = 2010, } @article{CTT100793988, author = {Hideyuki Miura}, title = {Dissipative quasi-geostrophic equation for large initial data in the critical Sobolev space}, journal = {Communications in Mathematical Physics}, year = 2006, } @article{CTT100793987, author = {Hideyuki Miura and Okihiro Sawada}, title = {On the regularizing rate estimates of Koch-Tataru's solution to the Navier-Stokes equations}, journal = {}, year = 2006, } @article{CTT100793989, author = {Hideyuki Miura}, title = {Remark on uniqueness of mild solutions to the Navier-Stokes equations}, journal = {}, year = 2005, }