TANIUCHI, YASUSHI | Shinshu University Researcher Directory

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

Profile

Assigned Class: Graduate School, Division of Science and Technology
Interdisciplinary Graduate School of Science and Technology

Research Field: Partial Differential Equations

Current Subject: 非線形偏微分方程式の関数解析学的研究（特にNavier-Stokes方程式の解の適切性に関する研究）

Academic Background: Graduate School
Nagoya University , (多元数理科学研究科) , 1998
Nagoya University , (Graduate School, Division of Engineering) , 1995

College
Nagoya University , (Faculty of Science) , 1993

Research

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

Shinshu University Researcher Directory

TANIUCHI YASUSHI

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Research

TANIUCHI　YASUSHI