Edit Profile (opens in new tab) Hishida, Toshiaki Co-Author Distance Author ID: hishida.toshiaki Published as: Hishida, Toshiaki Documents Indexed: 39 Publications since 1991 1 Contribution as Editor Co-Authors: 11 Co-Authors with 14 Joint Publications 348 Co-Co-Authors all top 5 Co-Authors 25 single-authored 5 Farwig, Reinhard 2 Silvestre, Ana Leonor 2 Takahashi, Takéo 1 Galdi, Giovanni Paolo 1 Giga, Yoshikazu 1 Izumida, Ken-ichi 1 Kagei, Yoshiyuki 1 Kozono, Hideo 1 Kyed, Mads 1 Maremonti, Paolo 1 Müller, Detlef 1 Ogawa, Takayoshi 1 Schonbek, Maria Elena 1 Shibata, Yoshihiro 1 Yamada, Yoshio all top 5 Serials 3 Archive for Rational Mechanics and Analysis 2 Funkcialaj Ekvacioj. Serio Internacia 2 Journal of the Mathematical Society of Japan 2 Pacific Journal of Mathematics 2 RIMS Kokyuroku 2 Journal of Mathematical Fluid Mechanics 2 Analysis (München) 1 Journal of Mathematical Analysis and Applications 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Tokyo Journal of Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Sugaku Expositions 1 Advances in Mathematical Sciences and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Evolution Equations 1 Nihonkai Mathematical Journal 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 RIMS Kôkyûroku Bessatsu 1 Nonlinear Analysis. Theory, Methods & Applications 1 SN Partial Differential Equations and Applications all top 5 Fields 39 Partial differential equations (35-XX) 38 Fluid mechanics (76-XX) 4 Operator theory (47-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 436 times in 168 Documents Cited by ▼ Year ▼ An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle. Zbl 0949.35106Hishida, Toshiaki 64 1999 \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. Zbl 1169.76015Hishida, Toshiaki; Shibata, Yoshihiro 46 2009 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 44 2004 \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body. Zbl 1184.35241Hishida, Toshiaki 37 2006 Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408Farwig, Reinhard; Hishida, Toshiaki 30 2007 The Stokes operator with rotation effect in exterior domains. Zbl 0938.35114Hishida, Toshiaki 27 1999 Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173Farwig, Reinhard; Hishida, Toshiaki 19 2011 Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172Farwig, Reinhard; Hishida, Toshiaki 17 2011 Existence and regularizing properties of solutions for the nonstationary convection problem. Zbl 0755.35093Hishida, Toshiaki 15 1991 Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191Farwig, Reinhard; Hishida, Toshiaki 13 2009 Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle. Zbl 1405.35139Hishida, Toshiaki 13 2018 On a class of stable steady flows to the exterior convection problem. Zbl 0905.35065Hishida, Toshiaki 11 1997 The nonstationary Stokes and Navier-Stokes flows through an aperture. Zbl 1096.35103Hishida, Toshiaki 9 2004 Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains. Zbl 1446.35100Hishida, Toshiaki 9 2020 Global solutions for the heat convection equations in an exterior domain. Zbl 0779.35089Hishida, Toshiaki; Yamada, Yoshio 8 1992 Global existence and exponential stability of convection. Zbl 0862.35089Hishida, Toshiaki 8 1995 Decay estimates of the Stokes flow around a rotating obstacle. Zbl 1119.35052Hishida, Toshiaki 7 2007 On the relation between the large time behavior of the Stokes semigroup and the decay of steady Stokes flow at infinity. Zbl 1247.35092Hishida, Toshiaki 7 2011 \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains. Zbl 1343.35187Hishida, Toshiaki 7 2016 \(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains. Zbl 1004.35056Hishida, Toshiaki 6 2000 On the Navier-Stokes flow around a rigid body with a prescribed rotation. Zbl 1042.76513Hishida, Toshiaki 6 2001 Asymptotic behavior and stability of solutions to the exterior convection problem. Zbl 0809.76033Hishida, Toshiaki 5 1994 Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067Hishida, Toshiaki; Schonbek, Maria Elena 5 2016 Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases. Zbl 1394.35323Hishida, Toshiaki; Maremonti, Paolo 5 2018 Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions. Zbl 1366.76024Hishida, Toshiaki 4 2016 A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid. Zbl 1457.76070Hishida, Toshiaki; Silvestre, Ana Leonor; Takahashi, Takéo 4 2017 The Navier-Stokes flow around a rotating obstacle with time-dependent body force. Zbl 1179.35216Hishida, Toshiaki 2 2009 Lack of uniformity of \(L^ 2\) decay for viscous incompressible flows in exterior domains. Zbl 0783.76024Hishida, Toshiaki 2 1993 Attainability of time-periodic flow of a viscous liquid past an oscillating body. Zbl 1503.35132Galdi, Giovanni P.; Hishida, Toshiaki 2 2021 Mathematical analysis of the equations for incompressible viscous fluid around a rotating obstacle. Zbl 1391.76092Hishida, Toshiaki 2 2013 Remarks on a regularity criterion for weak solutions to the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 0974.35087Hishida, Toshiaki; Izumida, Ken-ichi 1 2000 The nonstationary Stokes and Navier-Stokes equations in aperture domains. Zbl 1033.35083Hishida, Toshiaki 1 2002 Attainability of time-periodic flow of a viscous liquid past an oscillating body. Zbl 1503.35132Galdi, Giovanni P.; Hishida, Toshiaki 2 2021 Decay estimates of gradient of a generalized Oseen evolution operator arising from time-dependent rigid motions in exterior domains. Zbl 1446.35100Hishida, Toshiaki 9 2020 Large time behavior of a generalized Oseen evolution operator, with applications to the Navier-Stokes flow past a rotating obstacle. Zbl 1405.35139Hishida, Toshiaki 13 2018 Navier-Stokes flow past a rigid body: attainability of steady solutions as limits of unsteady weak solutions, starting and landing cases. Zbl 1394.35323Hishida, Toshiaki; Maremonti, Paolo 5 2018 A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid. Zbl 1457.76070Hishida, Toshiaki; Silvestre, Ana Leonor; Takahashi, Takéo 4 2017 \(L^q\)-\(L^r\) estimate of the Oseen flow in plane exterior domains. Zbl 1343.35187Hishida, Toshiaki 7 2016 Stability of time-dependent Navier-Stokes flow and algebraic energy decay. Zbl 1354.35067Hishida, Toshiaki; Schonbek, Maria Elena 5 2016 Asymptotic structure of steady Stokes flow around a rotating obstacle in two dimensions. Zbl 1366.76024Hishida, Toshiaki 4 2016 Mathematical analysis of the equations for incompressible viscous fluid around a rotating obstacle. Zbl 1391.76092Hishida, Toshiaki 2 2013 Leading term at infinity of steady Navier-Stokes flow around a rotating obstacle. Zbl 1229.35173Farwig, Reinhard; Hishida, Toshiaki 19 2011 Asymptotic profile of steady Stokes flow around a rotating obstacle. Zbl 1229.35172Farwig, Reinhard; Hishida, Toshiaki 17 2011 On the relation between the large time behavior of the Stokes semigroup and the decay of steady Stokes flow at infinity. Zbl 1247.35092Hishida, Toshiaki 7 2011 \(L_{p}-L_{q}\) estimate of the Stokes operator and Navier-Stokes flows in the exterior of a rotating obstacle. Zbl 1169.76015Hishida, Toshiaki; Shibata, Yoshihiro 46 2009 Asymptotic profiles of steady Stokes and Navier-Stokes flows around a rotating obstacle. Zbl 1205.35191Farwig, Reinhard; Hishida, Toshiaki 13 2009 The Navier-Stokes flow around a rotating obstacle with time-dependent body force. Zbl 1179.35216Hishida, Toshiaki 2 2009 Stationary Navier-Stokes flow around a rotating obstacle. Zbl 1180.35408Farwig, Reinhard; Hishida, Toshiaki 30 2007 Decay estimates of the Stokes flow around a rotating obstacle. Zbl 1119.35052Hishida, Toshiaki 7 2007 \(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body. Zbl 1184.35241Hishida, Toshiaki 37 2006 \(L^q\)-theory of a singular ”winding” integral operator arising from fluid dynamics. Zbl 1057.35028Farwig, Reinhard; Hishida, Toshiaki; Müller, Detlef 44 2004 The nonstationary Stokes and Navier-Stokes flows through an aperture. Zbl 1096.35103Hishida, Toshiaki 9 2004 The nonstationary Stokes and Navier-Stokes equations in aperture domains. Zbl 1033.35083Hishida, Toshiaki 1 2002 On the Navier-Stokes flow around a rigid body with a prescribed rotation. Zbl 1042.76513Hishida, Toshiaki 6 2001 \(L^2\) theory for the operator \(\Delta +(k\times x)\cdot\nabla\) in exterior domains. Zbl 1004.35056Hishida, Toshiaki 6 2000 Remarks on a regularity criterion for weak solutions to the Navier-Stokes equations in \(\mathbb{R}^n\). Zbl 0974.35087Hishida, Toshiaki; Izumida, Ken-ichi 1 2000 An existence theorem for the Navier-Stokes flow in the exterior of a rotating obstacle. Zbl 0949.35106Hishida, Toshiaki 64 1999 The Stokes operator with rotation effect in exterior domains. Zbl 0938.35114Hishida, Toshiaki 27 1999 On a class of stable steady flows to the exterior convection problem. Zbl 0905.35065Hishida, Toshiaki 11 1997 Global existence and exponential stability of convection. Zbl 0862.35089Hishida, Toshiaki 8 1995 Asymptotic behavior and stability of solutions to the exterior convection problem. Zbl 0809.76033Hishida, Toshiaki 5 1994 Lack of uniformity of \(L^ 2\) decay for viscous incompressible flows in exterior domains. Zbl 0783.76024Hishida, Toshiaki 2 1993 Global solutions for the heat convection equations in an exterior domain. Zbl 0779.35089Hishida, Toshiaki; Yamada, Yoshio 8 1992 Existence and regularizing properties of solutions for the nonstationary convection problem. Zbl 0755.35093Hishida, Toshiaki 15 1991 all cited Publications top 5 cited Publications all top 5 Cited by 164 Authors 18 Hishida, Toshiaki 17 Nečasová, Šárka 16 Galdi, Giovanni Paolo 11 Deuring, Paul 11 Farwig, Reinhard 10 Kračmar, Stanislav 9 Hieber, Matthias 9 Kyed, Mads 7 Silvestre, Ana Leonor 6 Geissert, Matthias 6 Neustupa, Jiří 6 Nguyen Thieu Huy 5 Ferreira, Lucas Catão de Freitas 4 An, Rong 4 Li, Kaitai 4 Maekawa, Yasunori 4 Ōeda, Kazuo 4 Penel, Patrick 4 Shibata, Yoshihiro 4 Takahashi, Takéo 4 Vu Thi Ngoc Ha 3 Heck, Horst 3 Higaki, Mitsuo 3 Kim, Dugyu 3 Kozono, Hideo 3 Krbec, Miroslav 3 Rojas-Medar, Marko Antonio 3 Schumacher, Katrin 3 Villamizar-Roa, Elder Jesús 3 Xuan, Pham Truong 2 Boldrini, José Luiz 2 Chen, Tuowei 2 Climent-Ezquerra, Blanca 2 Hansel, Tobias 2 Kashiwabara, Takahito 2 Komo, Christian 2 Taniuchi, Yasushi 2 Trinh Viet Duoc 2 Zhang, Yongqian 1 Abada, Nadjet 1 Alarcón, Salomón 1 Amann, Herbert 1 Antontsev, Stanislav Nikolaevich 1 Bae, Hyeong-Ohk 1 Boulmezaoud, Tahar Zamène 1 Campiti, Michele 1 Chen, Qionglei 1 Cumsille, Patricio 1 Dai, Qun 1 de Almeida, Marcelo Fernandes 1 de Araujo, Anderson Luis Albuquerque 1 Borges de Oliveira, Hermenegildo 1 Decaster, Agathe 1 Dintelmann, Eva Charlotte 1 Disser, Karoline 1 Eiter, Thomas Walter 1 Faria, Luiz F. O. 1 Furati, Khaled M. 1 Furukawa, Ken 1 Gao, Hongjun 1 Georgiev, Vladimir S. 1 Giga, Yoshikazu 1 Gong, Wei 1 Guenther, Ronald B. 1 Guidoboni, Giovanna 1 Haller-Dintelmann, Robert 1 Han, Pigong 1 Hao, Zhiwei 1 Hu, Weiwei 1 Hussein, Amru 1 Iftimie, Dragoş 1 Inoue, Hiroshi 1 Ishimura, Naoyuki 1 Iturriaga, Leonelo 1 Jin, Bumja 1 Kang, Kyungkeun 1 Karch, Grzegorz 1 Kaulakytė, Kristina 1 Kerdid, Nabil 1 Kim, Hyunseok 1 Kirane, Mokhtar 1 Koba, Hajime 1 Kousar, Nabeela 1 Kozulinas, Nikolajus 1 Krčmar, Stanislav 1 Le, The Sac 1 Li, Jingyue 1 Li, Libo 1 Li, Yuxiang 1 Liu, Feng 1 Liu, Hui 1 Liu, Xiaopan 1 Liu, Ying 1 Lorca, Sebastian Antonio 1 Lorenzi, Luca 1 Maity, Debayan 1 Mallea-Zepeda, Exequiel 1 Maremonti, Paolo 1 Mateos, Mariano 1 Medková, Dagmar ...and 64 more Authors all top 5 Cited in 59 Serials 17 Journal of Differential Equations 13 Archive for Rational Mechanics and Analysis 13 Journal of Mathematical Fluid Mechanics 8 Journal of the Mathematical Society of Japan 6 Journal of Mathematical Analysis and Applications 5 Mathematische Nachrichten 5 Discrete and Continuous Dynamical Systems 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Japan Academy. Series A 4 Communications on Pure and Applied Analysis 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematics Letters 3 Journal of Evolution Equations 3 Nonlinear Analysis. Theory, Methods & Applications 2 Computers & Mathematics with Applications 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Quarterly of Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Revista Matemática Complutense 2 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of the Institute of Mathematics of Jussieu 2 SN Partial Differential Equations and Applications 1 Physica A 1 Acta Mathematica Vietnamica 1 Annales Polonici Mathematici 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Bulletin of the Korean Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Applications of Mathematics 1 Communications in Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Analysis (München) 1 Nonlinear Analysis. Modelling and Control 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Elliptic and Parabolic Equations all top 5 Cited in 19 Fields 159 Partial differential equations (35-XX) 148 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 9 Numerical analysis (65-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 Functional analysis (46-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year