論文 A remark on the uniqueness of Kozono-Nakao's mild $L^3$-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains Partial Differ. Equ. Appl.,(68) 2021 Author:Taniuchi, Yasushi
Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations Contemp. Math.,710:211-222 2018 Author:NAKAO, K; TANIUCHI, Y
Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains COMMUNICATIONS IN MATHEMATICAL PHYSICS,3(359):951-973 2018 Author:NAKAO, K; TANIUCHI, Y
An alternative proof of logarithmically improved Beale-Kato-Majda type extension criteria for smooth solutions to the Navier-Stokes equations Nonlinear Analysis,176:48-55 2018 Author:Nakao, K and Taniuchi, Y
Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in L^3 Archiv der Mathematik,104(6):539–550 2015 Author:Reinhard FARWIG, Tomoyuki NAKATSUKA, Yasushi TANIUCHI
Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains Comm.Partial Differential Equations,40(10):1884-1904 2015 Author:Reinhard FARWIG, Tomoyuki NAKATSUKA, Yasushi TANIUCHI
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations inunbounded domains Discrete and Continuous Dynamical System Ser.S,6(5):1215-1224 2013 Author:Farwig, R; Taniuchi, Y
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations inunbounded domains J. Evolution Equations,(11):485-508 2011 Author:Farwig, R; Taniuchi, Y
On the enegy equality of Navier-Stokes equations in general unbounded domains Arch. Math.,5(95):447-456 2010 Author:Farwig, R; Taniuchi, Y
On the two-dimensional Euler equations with spatially almost periodic initial data J. Mat. Fluid Mech.,4(12):594-612 2010 Author:Taniuchi, Y; Tashiro, T; Yoneda, T
On heat convection equations in a half space withnon-decaying data and Stokes semigroup on Besovspaces based on L^{\infty} J. Differential Equations,246(7):2601-2645 2009 Author:Taniuchi, Y
On the uniqueness of time-periodic solutions to the Navier-Stokes equations inunbounded domains Mathematische Zeitschrift,261(3):597-615 2009 Author:Taniuchi, Y
A remark on L^{\infty} solutions to the 2-D Navier-Stokes equations J. Math. Fluid Mech.,9:533-542 2007 Author:Sawada, O; Taniuchi, Y
Remarks of global solvability of 2-D Boussinesq equations with non-decaying initial data Fankcialaj Ekvacioj,49:39-57 2006 Author:Taniuchi, Y
On Boussinesq flow with nondecaying initial data Fankcialaj Ekvacioj,47:225-250 2004 Author:Sawada, O; Taniuchi, Y
The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces TOHOKU MATHEMATICAL JOURNAL,56(1):65-77 2004 Author:Ogawa, T; Taniuchi, Y
Uniformly local L-p estimate for 2-D vorticity equation and its application to Euler equations with initial vorticity in bmo COMMUNICATIONS IN MATHEMATICAL PHYSICS,248(1):169-186 2004 Author:Taniuchi, Y
Navier-Stokes equations in the Besov space near L^{\infty} and $BMO$ Kyushu Journal of Math.,57:303-324 2003 Author:Kozono, H; Ogawa, T; Taniuchi, Y
A note on blow-up criterion to the 3-D Euler equations in a bounded domain J. Math. Fluid Mech.,5:17-23 2003 Author:Ogawa, T; Taniuchi, Y
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain J. Differential Equations,190(1):39-63 2003 Author:Ogawa, T; Taniuchi, Y
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations Mathematische Zeitschrift,242(2):251-278 2002 Author:Kozono, H; Ogawa, T; Taniuchi, Y
A note on the Blow-up criterion criterion for the Inviscid 2-D Boussinesq Equations Lecture Note in Pure and Appl. Math. 223 Theory and Numerical Math.,:131-140 2001 Author:Taniuchi, Y
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces J. Korean Math. Soc.,37:1007-1019 2000 Author:Ogawa, T; Taniuchi, Y
Limiting case of the Sobolev inequality in BMO, with application to the Euler equations Commun. Math. Phys.,214:191-200 2000 Author:Kozono, H; Taniuchi, Y
Bilinear estimates in BMO and the Navier-Stokes equations Mathematische Zeitschrift,235:175-194 2000 Author:Kozono, H; Taniuchi, Y
On stability of periodic solutions of the Navier-Stokes equations in unbounded domains Hokkaido Mathematical Journal,28:147-173 1999 Author:Taniuchi, Y
On generalized energy equality of the Navier-Stokes equations Manuscripta Mathematica,94:365-384 1997 Author:Taniuchi, Y