## Taniuchi, Yasushi

Compute Distance To:
 Author ID: taniuchi.yasushi Published as: Taniuchi, Yasushi
 Documents Indexed: 33 Publications since 1997 1 Contribution as Editor Co-Authors: 12 Co-Authors with 24 Joint Publications 275 Co-Co-Authors
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### Co-Authors

 10 single-authored 8 Ogawa, Takayoshi 6 Farwig, Reinhard 5 Kozono, Hideo 3 Nakao, Kohei 2 Nakatsuka, Tomoyuki 2 Sawada, Okihiro 1 Ishige, Kazuhiro 1 Ozawa, Tohru 1 Schulz, Raphael 1 Shimizu, Senjo 1 Tashiro, Tomoya 1 Yoneda, Tsuyoshi
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### Serials

 5 RIMS Kokyuroku 3 Communications in Mathematical Physics 3 Mathematische Zeitschrift 3 Journal of Mathematical Fluid Mechanics 2 Archiv der Mathematik 2 Funkcialaj Ekvacioj. Serio Internacia 2 Hokkaido Mathematical Journal 2 Journal of Differential Equations 2 SN Partial Differential Equations and Applications 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tôhoku Mathematical Journal. Second Series 1 Communications in Partial Differential Equations 1 Kyushu Journal of Mathematics 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series S
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### Fields

 33 Partial differential equations (35-XX) 29 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 723 times in 536 Documents Cited by Year
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2002
Bilinear estimates in $$BMO$$ and the Navier-Stokes equations. Zbl 0970.35099
Kozono, Hideo; Taniuchi, Yasushi
2000
Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Zbl 0985.46015
Kozono, Hideo; Taniuchi, Yasushi
2000
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2003
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain. Zbl 1038.76014
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
A note on the blow-up criterion for the inviscid 2-D Boussinesq equations. Zbl 0991.35070
Taniuchi, Yasushi
2002
A remark on $$L^{\infty}$$ solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437
2007
On the Boussinesq flow with nondecaying initial data. Zbl 1118.35037
2004
On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains. Zbl 1167.35034
Taniuchi, Yasushi
2009
On stability of periodic solutions of the Navier-Stokes equations in unbounded domains. Zbl 0924.35099
Taniuchi, Yasushi
1999
Uniformly local $$L^p$$ estimate for 2-D vorticity equations and its applications to Euler equations with initial vorticity in bmo. Zbl 1056.76009
Taniuchi, Yasushi
2004
On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169
Farwig, Reinhard; Taniuchi, Yasushi
2010
On generalized energy equality of the Navier-Stokes equations. Zbl 0896.35106
Taniuchi, Yasushi
1997
On the two-dimensional Euler equations with spatially almost periodic initial data. Zbl 1270.35357
Taniuchi, Yasushi; Tashiro, Tomoya; Yoneda, Tsuyoshi
2010
A note on blow-up criterion to the 3-D Euler equations in a bounded domain. Zbl 1044.35046
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in $$L^3$$. Zbl 1321.35133
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
2015
Remarks on global solvability of 2-D Boussinesq equations with non-decaying initial data. Zbl 1179.35250
Taniuchi, Yasushi
2006
The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces. Zbl 1083.35096
Ogawa, Takayoshi; Taniuchi, Yasushi
2004
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145
Farwig, Reinhard; Taniuchi, Yasushi
2011
Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains. Zbl 1397.35176
Nakao, Kohei; Taniuchi, Yasushi
2018
Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
2015
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109
Farwig, Reinhard; Taniuchi, Yasushi
2013
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
An alternative proof of logarithmically improved Beale-Kato-Majda type extension criteria for smooth solutions to the Navier-Stokes equations. Zbl 1403.35207
Nakao, Kohei; Taniuchi, Yasushi
2018
Bilinear estimates and critical Sobolev inequality in BMO, with applications to the Navier-Stokes and the Euler equations. Zbl 0968.35512
Kozono, Hideo; Taniuchi, Yasushi
2000
Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations. Zbl 1404.35329
Nakao, Kohei; Taniuchi, Yasushi
2018
Spatial asymptotic profiles of solutions to the Navier-Stokes system in a rotating frame with fast decaying data. Zbl 1401.76159
Farwig, Reinhard; Schulz, Raphael; Taniuchi, Yasushi
2018
Critical Sobolev inequality and its application to nonlinear evolution equations in the fluid mechanics. Zbl 0969.35534
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
On heat convection equations in a half space with non-decaying data and Stokes semi-group on Besov spaces based on $$L^{\infty }$$. Zbl 1171.35100
Taniuchi, Yasushi
2009
Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains. Zbl 1397.35176
Nakao, Kohei; Taniuchi, Yasushi
2018
An alternative proof of logarithmically improved Beale-Kato-Majda type extension criteria for smooth solutions to the Navier-Stokes equations. Zbl 1403.35207
Nakao, Kohei; Taniuchi, Yasushi
2018
Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations. Zbl 1404.35329
Nakao, Kohei; Taniuchi, Yasushi
2018
Spatial asymptotic profiles of solutions to the Navier-Stokes system in a rotating frame with fast decaying data. Zbl 1401.76159
Farwig, Reinhard; Schulz, Raphael; Taniuchi, Yasushi
2018
Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in $$L^3$$. Zbl 1321.35133
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
2015
Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains. Zbl 1334.35203
Farwig, Reinhard; Nakatsuka, Tomoyuki; Taniuchi, Yasushi
2015
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109
Farwig, Reinhard; Taniuchi, Yasushi
2013
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145
Farwig, Reinhard; Taniuchi, Yasushi
2011
On the energy equality of Navier-Stokes equations in general unbounded domains. Zbl 1202.35169
Farwig, Reinhard; Taniuchi, Yasushi
2010
On the two-dimensional Euler equations with spatially almost periodic initial data. Zbl 1270.35357
Taniuchi, Yasushi; Tashiro, Tomoya; Yoneda, Tsuyoshi
2010
On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains. Zbl 1167.35034
Taniuchi, Yasushi
2009
On heat convection equations in a half space with non-decaying data and Stokes semi-group on Besov spaces based on $$L^{\infty }$$. Zbl 1171.35100
Taniuchi, Yasushi
2009
A remark on $$L^{\infty}$$ solutions to the 2-D Navier-Stokes equations. Zbl 1132.35437
2007
Remarks on global solvability of 2-D Boussinesq equations with non-decaying initial data. Zbl 1179.35250
Taniuchi, Yasushi
2006
On the Boussinesq flow with nondecaying initial data. Zbl 1118.35037
2004
Uniformly local $$L^p$$ estimate for 2-D vorticity equations and its applications to Euler equations with initial vorticity in bmo. Zbl 1056.76009
Taniuchi, Yasushi
2004
The limiting uniqueness criterion by vorticity for Navier-Stokes equations in Besov spaces. Zbl 1083.35096
Ogawa, Takayoshi; Taniuchi, Yasushi
2004
Navier-Stokes equations in the Besov space near $$L^\infty$$ and BMO. Zbl 1067.35064
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2003
On blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain. Zbl 1038.76014
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
A note on blow-up criterion to the 3-D Euler equations in a bounded domain. Zbl 1044.35046
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi
2002
A note on the blow-up criterion for the inviscid 2-D Boussinesq equations. Zbl 0991.35070
Taniuchi, Yasushi
2002
Bilinear estimates in $$BMO$$ and the Navier-Stokes equations. Zbl 0970.35099
Kozono, Hideo; Taniuchi, Yasushi
2000
Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Zbl 0985.46015
Kozono, Hideo; Taniuchi, Yasushi
2000
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
Bilinear estimates and critical Sobolev inequality in BMO, with applications to the Navier-Stokes and the Euler equations. Zbl 0968.35512
Kozono, Hideo; Taniuchi, Yasushi
2000
Critical Sobolev inequality and its application to nonlinear evolution equations in the fluid mechanics. Zbl 0969.35534
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
On stability of periodic solutions of the Navier-Stokes equations in unbounded domains. Zbl 0924.35099
Taniuchi, Yasushi
1999
On generalized energy equality of the Navier-Stokes equations. Zbl 0896.35106
Taniuchi, Yasushi
1997
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### Cited by 455 Authors

 36 Fan, Jishan 21 Gala, Sadek 19 Chae, Dongho 19 Zhou, Yong 18 Ozawa, Tohru 16 Zhang, Zhifei 14 Taniuchi, Yasushi 12 Ragusa, Maria Alessandra 12 Yuan, Baoquan 11 Liu, Qiao 11 Takada, Ryo 10 Zhao, Jihong 9 Chen, Qionglei 9 Dong, Boqing 9 Wang, Yinxia 9 Ye, Zhuan 8 Farwig, Reinhard 8 Iwabuchi, Tsukasa 8 Maremonti, Paolo 8 Nguyen Thieu Huy 8 Shimizu, Senjo 8 Wang, Yuzhu 8 Wu, Jiahong 8 Yu, Xinwei 7 Nakamura, Gen 7 Zhang, Zujin 6 Hou, Thomas Yizhao 6 Kozono, Hideo 6 Miao, Changxing 6 Ogawa, Takayoshi 6 Tsutsui, Yohei 6 Vu Thi Ngoc Ha 6 Wolf, Jörg 6 Xu, Xiaojing 6 Yao, Zhengan 6 Zhao, Kun 5 Cui, Shangbin 5 Gallay, Thierry 5 Giga, Yoshikazu 5 Grujić, Zoran 5 Lei, Zhen 5 Mahalov, Alex 5 Qiu, Hua 5 Wadade, Hidemitsu 5 Yuan, Jia 4 Berselli, Luigi Carlo 4 Gao, Hongjun 4 Guo, Zhengguang 4 Hoshino, Gaku 4 Kang, Kyungkeun 4 Nakao, Kohei 4 Nakatsuka, Tomoyuki 4 Pizzocchero, Livio 4 Schulz, Raphael 4 Xu, Fuyi 4 Yoneda, Tsuyoshi 4 Zhai, Zhichun 4 Zhu, Mingxuan 3 Bae, Hantaek 3 Chen, Zhimin 3 Cozzi, Elaine 3 Dai, Mimi 3 Dao, Nguyen Anh 3 Du, Yi 3 Fang, Daoyuan 3 Ibrahim, Hassan 3 Jiang, Zaihong 3 Kanamaru, Ryo 3 Kelliher, James P. 3 Lee, Jihoon 3 Lemarié-Rieusset, Pierre Gilles 3 Li, Fucai 3 Liu, Han 3 Ma, Caochuan 3 Masmoudi, Nader 3 Morosi, Carlo 3 Mucha, Piotr Bogusław 3 Okabe, Takahiro 3 Pham, Truong Xuan 3 Sawada, Okihiro 3 Shang, Zhaoyang 3 Shvydkoy, Roman V. 3 Skalák, Zdeněk 3 Slijepčević, Siniša 3 Tran, Chuong V. 3 Van Nguyen, Thi 3 Wang, Yanan 3 Wang, Yanqing 3 Wang, Yongfu 3 Wang, Yun 3 Yang, Jiaqi 3 Yang, Minghua 3 Zelik, Sergey V. 3 Zhu, Xiangrong 2 Abe, Ken 2 Agelas, Leo 2 Benbernou, Samia 2 Bernicot, Frédéric 2 Bisconti, Luca 2 Bradshaw, Zachary ...and 355 more Authors
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### Cited in 133 Serials

 47 Journal of Mathematical Analysis and Applications 32 Journal of Differential Equations 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 20 Journal of Mathematical Fluid Mechanics 18 Archive for Rational Mechanics and Analysis 17 Mathematical Methods in the Applied Sciences 14 Journal of Evolution Equations 13 Communications in Mathematical Physics 12 Journal of Mathematical Physics 11 Applied Mathematics Letters 10 Nonlinear Analysis. Real World Applications 9 Applicable Analysis 9 Journal of Functional Analysis 9 Communications on Pure and Applied Analysis 9 Boundary Value Problems 8 Acta Applicandae Mathematicae 8 Communications in Partial Differential Equations 7 Computers & Mathematics with Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Applied Mathematics and Computation 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Applications of Mathematics 6 Discrete and Continuous Dynamical Systems 6 Abstract and Applied Analysis 6 SN Partial Differential Equations and Applications 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 Journal of Nonlinear Science 5 Journal of Inequalities and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Science China. Mathematics 4 Communications on Pure and Applied Mathematics 4 Physica D 4 Acta Mathematicae Applicatae Sinica. English Series 4 Revista Matemática Iberoamericana 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 The Journal of Fourier Analysis and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annales Polonici Mathematici 3 Journal of the Mathematical Society of Japan 3 Mathematische Annalen 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Acta Mathematica Sinica. English Series 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Numerische Mathematik 2 Asymptotic Analysis 2 Journal of Dynamics and Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Calculus of Variations and Partial Differential Equations 2 Physics of Fluids 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Kinetic and Related Models 2 Asian-European Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 ISRN Mathematical Analysis 2 Analysis and Mathematical Physics 2 Journal of Function Spaces 2 Proceedings of the American Mathematical Society. Series B 2 AIMS Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 Annales de l’Institut Fourier 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Hiroshima Mathematical Journal 1 Indiana University Mathematics Journal 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 European Journal of Applied Mathematics ...and 33 more Serials
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### Cited in 30 Fields

 491 Partial differential equations (35-XX) 411 Fluid mechanics (76-XX) 29 Functional analysis (46-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 17 Biology and other natural sciences (92-XX) 15 Geophysics (86-XX) 12 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 8 Operator theory (47-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Numerical analysis (65-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of deformable solids (74-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)