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## Taniuchi, Yasushi

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 Author ID: taniuchi.yasushi Published as: Taniuchi, Yasushi
 Documents Indexed: 32 Publications since 1997
all top 5

#### Co-Authors

 9 single-authored 8 Ogawa, Takayoshi 6 Farwig, Reinhard 5 Kozono, Hideo 3 Nakao, Kohei 2 Nakatsuka, Tomoyuki 2 Sawada, Okihiro 1 Schulz, Raphael 1 Tashiro, Tomoya 1 Yoneda, Tsuyoshi
all top 5

#### 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 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tohoku 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

#### Fields

 31 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

28 Publications have been cited 622 times in 468 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
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 blow-up criteria of smooth solutions to the 3-D Euler equations in a bounded domain. Zbl 1038.76014
Ogawa, Takayoshi; Taniuchi, Yasushi
2003
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
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 stability of periodic solutions of the Navier-Stokes equations in unbounded domains. Zbl 0924.35099
Taniuchi, Yasushi
1999
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
Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1231.35145
Farwig, Reinhard; Taniuchi, Yasushi
2011
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
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
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
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
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
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
Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains. Zbl 1260.35109
Farwig, Reinhard; Taniuchi, Yasushi
2013
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
Critical Sobolev inequality and its application to nonlinear evolution equations in the fluid mechanics. Zbl 0969.35534
Ogawa, Takayoshi; Taniuchi, Yasushi
2000
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
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
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 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
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
Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. Zbl 0980.35121
Ogawa, Takayoshi; 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
all top 5

#### Cited by 405 Authors

 34 Fan, Jishan 18 Chae, Dongho 18 Zhou, Yong 16 Zhang, Zhifei 15 Ozawa, Tohru 14 Gala, Sadek 13 Ye, Zhuan 12 Taniuchi, Yasushi 11 Liu, Qiao 11 Yuan, Baoquan 10 Takada, Ryo 10 Ye, Zhuan 10 Zhao, Jihong 9 Chen, Qionglei 9 Dong, Boqing 9 Wang, Yinxia 8 Iwabuchi, Tsukasa 8 Maremonti, Paolo 8 Ragusa, Maria Alessandra 8 Wang, Yuzhu 8 Wu, Jiahong 8 Yu, Xinwei 7 Farwig, Reinhard 7 Nakamura, Gen 7 Zhang, Zujin 6 Hou, Thomas Yizhao 6 Miao, Changxing 6 Shimizu, Senjo 6 Xu, Xiaojing 6 Yao, Zhengan 6 Zhao, Kun 5 Cui, Shangbin 5 Gallay, Thierry 5 Giga, Yoshikazu 5 Grujić, Zoran 5 Kozono, Hideo 5 Lei, Zhen 5 Mahalov, Alex 5 Ogawa, Takayoshi 5 Qiu, Hua 5 Tsutsui, Yohei 5 Wadade, Hidemitsu 5 Wolf, Jörg 5 Yuan, Jia 4 Gao, Hongjun 4 Hoshino, Gaku 4 Nakao, Kohei 4 Nakatsuka, Tomoyuki 4 Nguyen Thieu Huy 4 Pizzocchero, Livio 4 Xu, Fuyi 4 Yoneda, Tsuyoshi 4 Zhai, Zhichun 4 Zhu, Mingxuan 3 Berselli, Luigi Carlo 3 Chen, Zhimin 3 Cozzi, Elaine 3 Du, Yi 3 Fang, Daoyuan 3 Guo, Zhengguang 3 Ibrahim, Hassan 3 Jiang, Zaihong 3 Kang, Kyungkeun 3 Kelliher, James P. 3 Lee, Jihoon 3 Li, Fucai 3 Ma, Caochuan 3 Masmoudi, Nader 3 Morosi, Carlo 3 Mucha, Piotr Bogusław 3 Sawada, Okihiro 3 Shvydkoy, Roman V. 3 Skalák, Zdeněk 3 Slijepčević, Siniša 3 Tran, Chuong V. 3 Wang, Yanan 3 Wang, Yongfu 3 Wang, Yun 3 Yang, Minghua 3 Zelik, Sergey V. 3 Zhu, Xiangrong 2 Abe, Ken 2 Abe, Kenichi 2 Agelas, Leo 2 Alghamdi, Ahmad Mohammad 2 Bae, Hantaek 2 Benbernou, Samia 2 Bernicot, Frédéric 2 Chen, Xiaochun 2 Constantin, Peter 2 Cordoba, Diego 2 Dai, Mimi 2 Danchin, Raphaël 2 Dao, Nguyen Anh 2 Deng, Chao 2 Deng, Jian 2 Ding, Yong 2 Doering, Charles R. 2 Du, Lili 2 Dubois, Sandrine ...and 305 more Authors
all top 5

#### Cited in 118 Serials

 43 Journal of Mathematical Analysis and Applications 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 30 Journal of Differential Equations 18 Archive for Rational Mechanics and Analysis 17 Mathematical Methods in the Applied Sciences 16 Journal of Mathematical Fluid Mechanics 13 Communications in Mathematical Physics 11 Journal of Mathematical Physics 11 Applied Mathematics Letters 9 Journal of Functional Analysis 9 Nonlinear Analysis. Real World Applications 9 Journal of Evolution Equations 9 Communications on Pure and Applied Analysis 8 Applicable Analysis 8 Acta Applicandae Mathematicae 7 Computers & Mathematics with Applications 7 Applied Mathematics and Computation 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Communications in Partial Differential Equations 6 Applications of Mathematics 6 Abstract and Applied Analysis 6 Boundary Value Problems 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 Journal of Nonlinear Science 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 Discrete and Continuous Dynamical Systems 4 The Journal of Fourier Analysis and Applications 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Advances in Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of the Mathematical Society of Japan 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Journal of Inequalities and Applications 3 Acta Mathematica Sinica. English Series 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Annales Polonici Mathematici 2 Archiv der Mathematik 2 Manuscripta Mathematica 2 Numerische Mathematik 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 Journal of Applied Mathematics 2 Frontiers of Mathematics in China 2 Kinetic and Related Models 2 Asian-European Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 ISRN Mathematical Analysis 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 Mathematische Annalen 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 Tohoku 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 Science in China. Series A 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Applicationes Mathematicae 1 Electronic Journal of Differential Equations (EJDE) 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Novi Sad Journal of Mathematics 1 Revista Matemática Complutense 1 Analysis (München) ...and 18 more Serials
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#### Cited in 24 Fields

 427 Partial differential equations (35-XX) 363 Fluid mechanics (76-XX) 28 Functional analysis (46-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 13 Geophysics (86-XX) 12 Real functions (26-XX) 11 Biology and other natural sciences (92-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 3 Mechanics of deformable solids (74-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)