Academic Organization | Academic Assembly School of Science and Technology Institute of Science | TEL | ||
---|---|---|---|---|

Education and Research Organization | Faculty of Science Department of Mathematics Course of Mathematical Sciences | FAX | ||

Position | Professor | Mail Address | ||

Address | 松本市旭３ー１ー１ | Web site |

Modified:09/08/2023

- Books, Articles, etc.
**Articles**

On uniqueness of mild $L^{3,\infty}$-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains

Mathematische Annalen 2023

Author:Yasushi TANIUCHI

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

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