Edit Profile (opens in new tab) Kozono, Hideo Co-Author Distance Author ID: kozono.hideo Published as: Kozono, Hideo; Kozono, H. External Links: GND Documents Indexed: 133 Publications since 1985 11 Contributions as Editor Biographic References: 1 Publication Co-Authors: 56 Co-Authors with 123 Joint Publications 1,006 Co-Co-Authors all top 5 Co-Authors 21 single-authored 22 Sohr, Hermann 19 Farwig, Reinhard 15 Yamazaki, Masao 14 Yanagisawa, Taku 13 Ogawa, Takayoshi 13 Shimizu, Senjo 9 Sugiyama, Yoshie 6 Kim, Hyunseok 6 Terasawa, Yutaka 6 Wakasugi, Yuta 5 Hieber, Matthias 5 Maeda, Yoshiaki 5 Seyfert, Anton 5 Taniuchi, Yasushi 4 Giga, Yoshikazu 4 Naito, Hisashi 4 Wegmann, David 3 Heck, Horst 3 Ushikoshi, Erika 3 Wadade, Hidemitsu 2 Amann, Herbert 2 Miura, Masanari 2 Nakao, Mitsuhiro 2 Okada, Akira 2 Okamoto, Hisashi 2 Ozawa, Tohru 2 Takada, Ryo 2 Tanaka, Kazunaga 2 Tsutsumi, Yoshio 2 Yanagida, Eiji 1 Choe, Hi Jun 1 Denk, Robert 1 Hashimoto, Itsuko 1 Jimbo, Shuichi 1 Kagei, Yoshiyuki 1 Kanbayashi, Naoya 1 Kaneko, Kenta 1 Koike, Shigeaki 1 Mashiko, Yuki 1 Minamidate, Kouei 1 Okabe, Takahiro 1 Saal, Jürgen 1 Sakaguchi, Shigeru 1 Sato, Tokushi 1 Shibata, Yoshihiro 1 Shimada, Yukihiro 1 Simonett, Gieri 1 Tanisaka, Hirooki 1 Teramoto, Yoshiaki 1 Titi, Edriss Saleh 1 Tsuda, Kazuyuki 1 Wachi, Takuya 1 Wakabayashi, Fumitaka 1 Yahagi, Yumi 1 Yamazaki, Masaso 1 Yatsu, Naoki all top 5 Serials 12 Journal of Differential Equations 11 Indiana University Mathematics Journal 9 Mathematische Annalen 8 Journal of Functional Analysis 8 Mathematische Zeitschrift 7 RIMS Kokyuroku 6 Journal of Mathematical Analysis and Applications 4 Archive for Rational Mechanics and Analysis 4 Manuscripta Mathematica 4 Mathematische Nachrichten 4 Tôhoku Mathematical Journal. Second Series 4 Journal of Evolution Equations 3 Hokkaido Mathematical Journal 3 The Journal of Geometric Analysis 2 Journal of the Mathematical Society of Japan 2 Proceedings of the Japan Academy. Series A 2 Communications in Partial Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Kyushu Journal of Mathematics 2 Advanced Studies in Pure Mathematics 2 RIMS Kôkyûroku Bessatsu 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the Korean Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Tokyo Journal of Mathematics 1 Analysis 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Calculus of Variations and Partial Differential Equations 1 Advances in Differential Equations 1 Journal of Mathematical Fluid Mechanics 1 Nonlinear Analysis. Real World Applications 1 Lecture Notes in Numerical and Applied Analysis 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Springer Proceedings in Mathematics & Statistics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Mathematical Fluid Mechanics 1 London Mathematical Society. Newsletter all top 5 Fields 131 Partial differential equations (35-XX) 79 Fluid mechanics (76-XX) 12 Functional analysis (46-XX) 11 General and overarching topics; collections (00-XX) 7 Biology and other natural sciences (92-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 4 Real functions (26-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 2,472 times in 1,557 Documents Cited by ▼ Year ▼ Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 219 1994 The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi 195 2002 Bilinear estimates in \(BMO\) and the Navier-Stokes equations. Zbl 0970.35099Kozono, Hideo; Taniuchi, Yasushi 143 2000 Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Zbl 0985.46015Kozono, Hideo; Taniuchi, Yasushi 121 2000 Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Zbl 1343.35069Kozono, Hideo; Miura, Masanari; Sugiyama, Yoshie 93 2016 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 Periodic solutions of the Navier-Stokes equations in unbounded domains. Zbl 0860.35095Kozono, Hideo; Nakao, Mitsuhiro 63 1996 \(L^r\)-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains. Zbl 1179.35147Kozono, Hideo; Yanagisawa, Taku 58 2009 Navier-Stokes equations in the Besov space near \(L^\infty\) and BMO. Zbl 1067.35064Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi 57 2003 Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality. Zbl 1126.46023Kozono, Hideo; Sato, Tokushi; Wadade, Hidemitsu 55 2006 Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations. Zbl 1078.35087Kozono, Hideo; Shimada, Yukihiro 51 2004 A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions. Zbl 1354.35070Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 48 2017 Weak and classical solutions of the two-dimensional magnetohydrodynamic equations. Zbl 0683.76103Kozono, Hideo 45 1989 New a priori estimates for the Stokes equations in exterior domains. Zbl 0732.35068Kozono, Hideo; Sohr, Hermann 42 1991 Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082Kozono, Hideo; Sohr, Hermann 40 1996 Global \(L^ n\)-solution and its decay property for the Navier-Stokes equations in half-space \(R^ n_ +\). Zbl 0715.35062Kozono, Hideo 38 1989 Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO. Zbl 1151.46019Kozono, Hideo; Wadade, Hidemitsu 35 2008 Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains. Zbl 0934.35123Kozono, Hideo; Yamazaki, Masao 35 1999 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system. Zbl 1162.35040Kozono, Hideo; Sugiyama, Yoshie 33 2008 The Keller-Segel system of parabolic-parabolic type with initial data in weak \(L^{n/2}(\mathbb R^n)\) and its application to self-similar solutions. Zbl 1158.35101Kozono, Hideo; Sugiyama, Yoshie 33 2008 Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0848.35099Kozono, Hideo; Yamazaki, Masao 33 1995 On a new class of generalized solutions for the Stokes equations in exterior domains. Zbl 0770.35055Kozono, Hideo; Sohr, Hermann 31 1992 Leray’s problem on the stationary Navier-Stokes equations with inhomogeneous boundary data. Zbl 1169.35045Kozono, Hideo; Yanagisawa, Taku 31 2009 Exterior problem for the stationary Navier-Stokes equations in the Lorentz space. Zbl 0965.35117Kozono, Hideo; Yamazaki, Masao 30 1998 The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35089Kozono, Hideo; Yamazaki, Masao 30 1995 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations. Zbl 1060.35105Kozono, Hideo; Yatsu, Naoki 28 2004 Interior regularity criteria in weak spaces for the Navier-Stokes equations. Zbl 1177.35153Kim, Hyunseok; Kozono, Hideo 27 2004 Two-dimensional Navier-Stokes flow in unbounded domains. Zbl 0796.35129Kozono, Hideo; Ogawa, Takayoshi 26 1993 Some \(L^ p\) estimate for the exterior Stokes flow and an application to the non-stationary Navier-Stokes equations. Zbl 0759.35035Kozono, Hideo; Ogawa, Takayoshi 25 1992 On stability of Navier-Stokes flows in exterior domains. Zbl 0833.76016Kozono, Hideo; Ogawa, Takayoshi 25 1994 Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces. Zbl 1207.35178Kozono, Hideo; Sugiyama, Yoshie 25 2009 On a larger class of stable solutions to the Navier-Stokes equations in exterior domains. Zbl 0922.35119Kozono, Hideo; Yamazaki, Masao 24 1998 \(L^1\)-solutions of the Navier-Stokes equations in exterior domains. Zbl 0920.35108Kozono, Hideo 23 1998 Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523Kozono, Hideo; Sohr, Hermann 23 1997 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 A removable isolated singularity theorem for the stationary Navier-Stokes equations. Zbl 1095.35026Kim, Hyunseok; Kozono, Hideo 22 2006 Removable singularities of weak solutions to the Navier-Stokes equations. Zbl 0910.35090Kozono, Hideo 21 1998 Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains. Zbl 0762.35086Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann 19 1992 Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations. Zbl 0970.35106Kozono, Hideo 18 2000 Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries. Zbl 0798.35127Kozono, Hideo; Ogawa, Takayoshi 17 1994 Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces. Zbl 1412.35223Kozono, Hideo; Shimizu, Senjo 16 2019 Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system. Zbl 1255.35005Kozono, Hideo; Sugiyama, Yoshie; Yahagi, Yumi 15 2012 Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. Zbl 0767.35060Kozono, Hideo; Sohr, Hermann 14 1992 Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity. Zbl 1428.35298Kaneko, Kenta; Kozono, Hideo; Shimizu, Senjo 14 2019 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 13 2007 On stationary Navier-Stokes equations in unbounded domains. Zbl 0803.35107Kozono, Hideo; Sohr, Hermann 13 1993 Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle. Zbl 1288.35371Heck, Horst; Kim, Hyunseok; Kozono, Hideo 13 2013 Strong solutions to the Keller-Segel system with the weak \(L^{\frac n 2}\) initial data and its application to the blow-up rate. Zbl 1234.35065Kozono, Hideo; Sugiyama, Yoshie 12 2010 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 Navier-Stokes equations with external forces in time-weighted Besov spaces. Zbl 06941723Kozono, Hideo; Shimizu, Senjo 12 2018 Existence and uniqueness theorem on mild solutions to the Keller-Segel system in the scaling invariant space. Zbl 1242.34141Kozono, Hideo; Sugiyama, Yoshie; Wachi, Takuya 11 2012 Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains. Zbl 0781.35053Kozono, Hideo; Ogawa, Takayoshi 10 1993 Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations. Zbl 1433.35234Kozono, Hideo; Okada, Akira; Shimizu, Senjo 10 2020 A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains. Zbl 1464.35102Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 10 2020 Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems. Zbl 1303.35073Kozono, Hideo; Yanagisawa, Taku 10 2013 Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains. Zbl 0980.35127Kozono, Hideo 10 2001 Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Zbl 1437.35077Kozono, Hideo; Miura, Masanari; Sugiyama, Yoshie 9 2019 On the stationary Navier-Stokes equations in exterior domains. Zbl 1248.35147Kim, Hyunseok; Kozono, Hideo 9 2012 Global solution for the Yang-Mills gradient flow on \(4\)-manifolds. Zbl 0849.58018Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 8 1995 Stability of plane Couette flows with respect to small periodic perturbations. Zbl 1173.35627Heck, Horst; Kim, Hyunseok; Kozono, Hideo 8 2009 Well-posedness for the Benjamin equations. Zbl 1012.35075Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki 8 2001 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 Navier-Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions. Zbl 1379.35212Kozono, Hideo; Shimizu, Senjo 8 2018 Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. Zbl 1285.35065Farwig, Reinhard; Kozono, Hideo 8 2014 Global compensated compactness theorem for general differential operators of first order. Zbl 1269.47034Kozono, Hideo; Yanagisawa, Taku 7 2013 Global Div-Curl lemma on bounded domains in \(\mathbb R^3\). Zbl 1170.26005Kozono, Hideo; Yanagisawa, Taku 7 2009 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 On the stationary Navier-Stokes flows around a rotating body. Zbl 1241.35148Heck, Horst; Kim, Hyunseok; Kozono, Hideo 7 2012 On existence and uniqueness of a global classical solution of the two- dimensional Euler equation in a time dependent domain. Zbl 0522.35023Kozono, Hideo 7 1985 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected bounded domain. Zbl 1185.35168Kozono, Hideo; Yanagisawa, Taku 6 2009 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 Uniqueness and regularity of weak solutions to the Navier-Stokes equations. Zbl 0941.35065Kozono, Hideo 6 1998 On well-posedness of the Navier-Stokes equations. Zbl 0992.35070Kozono, Hideo 6 2001 \(L^r\)-Helmholtz decomposition and its application to the Navier-Stokes equations. Zbl 1348.35172Kozono, Hideo; Yanagisawa, Taku 6 2013 Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force. Zbl 1300.35075Kozono, Hideo; Mashiko, Yuki; Takada, Ryo 6 2014 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku 5 2012 The Stokes problem for Lipschitz domains. Zbl 1038.35052Choe, Hi Jun; Kozono, Hideo 5 2002 The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David 5 2021 On the energy decay of a weak solution of the MHD. equations in a three- dimensional exterior domain. Zbl 0635.76111Kozono, Hideo 5 1987 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class. Zbl 1188.35037Kozono, Hideo; Sugiyama, Yoshie; Takada, Ryo 4 2010 Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286Farwig, Reinhard; Kozono, Hideo; Wegmann, David 4 2019 Weak solutions of the Navier-Stokes equations with test functions in the weak-\(L^n\) space. Zbl 0997.35047Kozono, Hideo 4 2001 The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains. Zbl 1466.35146Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 Bilinear estimates and critical Sobolev inequality in BMO, with applications to the Navier-Stokes and the Euler equations. Zbl 0968.35512Kozono, Hideo; Taniuchi, Yasushi 3 2000 \(L^r\)-Helmholtz-Weyl decomposition for three dimensional exterior domains. Zbl 1472.35152Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107Farwig, Reinhard; Kozono, Hideo; Wegmann, David 3 2017 Hadamard variational formula for the Green’s function of the boundary value problem on the Stokes equations. Zbl 1293.35250Kozono, Hideo; Ushikoshi, Erika 3 2013 Strong solutions of the Navier-Stokes equations with singular data. Zbl 1404.35325Kozono, Hideo; Shimizu, Senjo 3 2018 A stable manifold theorem for the Yang-Mills gradient flow. Zbl 0779.58013Naito, Hisashi; Kozono, Hideo; Maeda, Yoshiaki 2 1990 Semilinear heat equations and the Navier-Stokes equation with distributions as initial data. Zbl 0793.35070Kozono, Hideo; Yamazaki, Masao 2 1993 Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl. Zbl 1479.35620Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 2 2022 Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions. Zbl 0932.35164Kozono, Hideo; Yamazaki, Masao 2 1998 On asymptotic stability for the Yang-Mills gradient flow. Zbl 0755.53021Kozono, Hideo; Maeda, Yoshiaki 1 1989 Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl. Zbl 1479.35620Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 2 2022 Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral. Zbl 1496.35280Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 1 2022 A characterization of harmonic \(L^r\)-vector fields in three dimensional exterior domains. Zbl 1498.53055Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2022 The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. Zbl 1478.35167Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David 5 2021 The Helmholtz-Weyl decomposition of \(L^r\) vector fields for two dimensional exterior domains. Zbl 1466.35146Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 \(L^r\)-Helmholtz-Weyl decomposition for three dimensional exterior domains. Zbl 1472.35152Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 3 2021 Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains. Zbl 1479.35363Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 1 2021 Asymptotic behavior of solutions to elliptic and parabolic equations with unbounded coefficients of the second order in unbounded domains. Zbl 1475.35134Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 1 2021 Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier-Stokes equations. Zbl 1514.35320Kozono, Hideo; Okada, Akira; Shimizu, Senjo 1 2021 Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations. Zbl 1433.35234Kozono, Hideo; Okada, Akira; Shimizu, Senjo 10 2020 A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains. Zbl 1464.35102Hieber, Matthias; Kozono, Hideo; Seyfert, Anton; Shimizu, Senjo; Yanagisawa, Taku 10 2020 Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces. Zbl 1412.35223Kozono, Hideo; Shimizu, Senjo 16 2019 Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity. Zbl 1428.35298Kaneko, Kenta; Kozono, Hideo; Shimizu, Senjo 14 2019 Time global existence and finite time blow-up criterion for solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Zbl 1437.35077Kozono, Hideo; Miura, Masanari; Sugiyama, Yoshie 9 2019 Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. Zbl 1428.35286Farwig, Reinhard; Kozono, Hideo; Wegmann, David 4 2019 Navier-Stokes equations with external forces in time-weighted Besov spaces. Zbl 06941723Kozono, Hideo; Shimizu, Senjo 12 2018 Navier-Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions. Zbl 1379.35212Kozono, Hideo; Shimizu, Senjo 8 2018 Strong solutions of the Navier-Stokes equations with singular data. Zbl 1404.35325Kozono, Hideo; Shimizu, Senjo 3 2018 Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains. Zbl 1513.35429Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 1 2018 A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions. Zbl 1354.35070Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta 48 2017 Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1367.35107Farwig, Reinhard; Kozono, Hideo; Wegmann, David 3 2017 Asymptotic behavior of radially symmetric solutions for a quasilinear hyperbolic fluid model in higher dimensions. Zbl 1364.35271Hashimoto, Itsuko; Kozono, Hideo 1 2017 Decay of non-stationary Navier-Stokes flow with nonzero Dirichlet boundary data. Zbl 1390.35238Wegmann, David; Farwig, Reinhard; Kozono, Hideo 1 2017 Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. Zbl 1343.35069Kozono, Hideo; Miura, Masanari; Sugiyama, Yoshie 93 2016 The work of Yoshihiro Shibata. Zbl 1337.01007Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso 1 2016 Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. Zbl 1285.35065Farwig, Reinhard; Kozono, Hideo 8 2014 Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force. Zbl 1300.35075Kozono, Hideo; Mashiko, Yuki; Takada, Ryo 6 2014 Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition. Zbl 1306.35085Kanbayashi, Naoya; Kozono, Hideo; Okabe, Takahiro 1 2014 Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle. Zbl 1288.35371Heck, Horst; Kim, Hyunseok; Kozono, Hideo 13 2013 Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems. Zbl 1303.35073Kozono, Hideo; Yanagisawa, Taku 10 2013 Global compensated compactness theorem for general differential operators of first order. Zbl 1269.47034Kozono, Hideo; Yanagisawa, Taku 7 2013 \(L^r\)-Helmholtz decomposition and its application to the Navier-Stokes equations. Zbl 1348.35172Kozono, Hideo; Yanagisawa, Taku 6 2013 Hadamard variational formula for the Green’s function of the boundary value problem on the Stokes equations. Zbl 1293.35250Kozono, Hideo; Ushikoshi, Erika 3 2013 Existence and uniqueness theorem on weak solutions to the parabolic-elliptic Keller-Segel system. Zbl 1255.35005Kozono, Hideo; Sugiyama, Yoshie; Yahagi, Yumi 15 2012 Existence and uniqueness theorem on mild solutions to the Keller-Segel system in the scaling invariant space. Zbl 1242.34141Kozono, Hideo; Sugiyama, Yoshie; Wachi, Takuya 11 2012 On the stationary Navier-Stokes equations in exterior domains. Zbl 1248.35147Kim, Hyunseok; Kozono, Hideo 9 2012 On the stationary Navier-Stokes flows around a rotating body. Zbl 1241.35148Heck, Horst; Kim, Hyunseok; Kozono, Hideo 7 2012 Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). Zbl 1248.35142Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku 5 2012 Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. Zbl 1236.35103Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 8 2011 Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. Zbl 1247.35090Farwig, R.; Kozono, H.; Sohr, H. 6 2011 Strong solutions to the Keller-Segel system with the weak \(L^{\frac n 2}\) initial data and its application to the blow-up rate. Zbl 1234.35065Kozono, Hideo; Sugiyama, Yoshie 12 2010 Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. Zbl 1291.35030Farwig, R.; Kozono, H.; Sohr, H. 5 2010 Non-existence of finite-time self-similar solutions of the Keller-Segel system in the scaling invariant class. Zbl 1188.35037Kozono, Hideo; Sugiyama, Yoshie; Takada, Ryo 4 2010 Regularity of weak solutions for the Navier-Stokes equations via energy criteria. Zbl 1374.35280Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 3 2010 \(L^r\)-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains. Zbl 1179.35147Kozono, Hideo; Yanagisawa, Taku 58 2009 Leray’s problem on the stationary Navier-Stokes equations with inhomogeneous boundary data. Zbl 1169.35045Kozono, Hideo; Yanagisawa, Taku 31 2009 Global strong solution to the semi-linear Keller-Segel system of parabolic-parabolic type with small data in scale invariant spaces. Zbl 1207.35178Kozono, Hideo; Sugiyama, Yoshie 25 2009 On the Stokes operator in general unbounded domains. Zbl 1170.76011Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 22 2009 Stability of plane Couette flows with respect to small periodic perturbations. Zbl 1173.35627Heck, Horst; Kim, Hyunseok; Kozono, Hideo 8 2009 Global Div-Curl lemma on bounded domains in \(\mathbb R^3\). Zbl 1170.26005Kozono, Hideo; Yanagisawa, Taku 7 2009 Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected bounded domain. Zbl 1185.35168Kozono, Hideo; Yanagisawa, Taku 6 2009 Energy-based regularity criteria for the Navier-Stokes equations. Zbl 1185.35162Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 5 2009 Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO. Zbl 1151.46019Kozono, Hideo; Wadade, Hidemitsu 35 2008 Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system. Zbl 1162.35040Kozono, Hideo; Sugiyama, Yoshie 33 2008 The Keller-Segel system of parabolic-parabolic type with initial data in weak \(L^{n/2}(\mathbb R^n)\) and its application to self-similar solutions. Zbl 1158.35101Kozono, Hideo; Sugiyama, Yoshie 33 2008 Maximal regularity of the Stokes operator in general unbounded domains of \(\mathbb R^n\). Zbl 1171.35448Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 7 2008 Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. Zbl 1154.35416Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 6 2008 Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. Zbl 1107.76022Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 34 2007 On the Helmholtz decomposition in general unbounded domains. Zbl 1121.35097Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 29 2007 Local in time regularity properties of the Navier-Stokes equations. Zbl 1175.35100Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 13 2007 The Stokes resolvent problem in general unbounded domains. Zbl 1127.35035Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 4 2007 Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality. Zbl 1126.46023Kozono, Hideo; Sato, Tokushi; Wadade, Hidemitsu 55 2006 A removable isolated singularity theorem for the stationary Navier-Stokes equations. Zbl 1095.35026Kim, Hyunseok; Kozono, Hideo 22 2006 Sobolev’s imbedding theorem in the limiting case with Lorentz space and BMO. Zbl 1141.46315Kozono, Hideo; Minamidate, Kouei; Wadade, Hidemitsu 1 2006 An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. Zbl 1111.35033Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann 69 2005 Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations. Zbl 1078.35087Kozono, Hideo; Shimada, Yukihiro 51 2004 Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations. Zbl 1060.35105Kozono, Hideo; Yatsu, Naoki 28 2004 Interior regularity criteria in weak spaces for the Navier-Stokes equations. Zbl 1177.35153Kim, Hyunseok; Kozono, Hideo 27 2004 Navier-Stokes equations in the Besov space near \(L^\infty\) and BMO. Zbl 1067.35064Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi 57 2003 The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Zbl 1055.35087Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi 195 2002 The Stokes problem for Lipschitz domains. Zbl 1038.35052Choe, Hi Jun; Kozono, Hideo 5 2002 Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains. Zbl 0980.35127Kozono, Hideo 10 2001 Well-posedness for the Benjamin equations. Zbl 1012.35075Kozono, Hideo; Ogawa, Takayoshi; Tanisaka, Hirooki 8 2001 On well-posedness of the Navier-Stokes equations. Zbl 0992.35070Kozono, Hideo 6 2001 Weak solutions of the Navier-Stokes equations with test functions in the weak-\(L^n\) space. Zbl 0997.35047Kozono, Hideo 4 2001 Rapid decay of solutions to the non-stationary Stokes equations in exterior domains. Zbl 0991.35525Kozono, Hideo 1 2001 Bilinear estimates in \(BMO\) and the Navier-Stokes equations. Zbl 0970.35099Kozono, Hideo; Taniuchi, Yasushi 143 2000 Limiting case of the Sobolev inequality in BMO, with application to the Euler equations. Zbl 0985.46015Kozono, Hideo; Taniuchi, Yasushi 121 2000 Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations. Zbl 0970.35106Kozono, Hideo 18 2000 Bilinear estimates and critical Sobolev inequality in BMO, with applications to the Navier-Stokes and the Euler equations. Zbl 0968.35512Kozono, Hideo; Taniuchi, Yasushi 3 2000 Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains. Zbl 0934.35123Kozono, Hideo; Yamazaki, Masao 35 1999 Exterior problem for the stationary Navier-Stokes equations in the Lorentz space. Zbl 0965.35117Kozono, Hideo; Yamazaki, Masao 30 1998 On a larger class of stable solutions to the Navier-Stokes equations in exterior domains. Zbl 0922.35119Kozono, Hideo; Yamazaki, Masao 24 1998 \(L^1\)-solutions of the Navier-Stokes equations in exterior domains. Zbl 0920.35108Kozono, Hideo 23 1998 Removable singularities of weak solutions to the Navier-Stokes equations. Zbl 0910.35090Kozono, Hideo 21 1998 Uniqueness and regularity of weak solutions to the Navier-Stokes equations. Zbl 0941.35065Kozono, Hideo 6 1998 Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions. Zbl 0932.35164Kozono, Hideo; Yamazaki, Masao 2 1998 A Yang-Mills-Higgs gradient flow on \(\mathbb{R}^3\) blowing up at infinity. Zbl 0920.58020Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 1 1998 Regularity criterion of weak solutions to the Navier-Stokes equations. Zbl 1023.35523Kozono, Hideo; Sohr, Hermann 23 1997 Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. Zbl 0890.35102Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao 12 1997 The Navier-Stokes equation with distributions as initial data and application to self-similar solutions. Zbl 0874.35087Kozono, Hideo; Yamazaki, Masao 1 1997 Periodic solutions of the Navier-Stokes equations in unbounded domains. Zbl 0860.35095Kozono, Hideo; Nakao, Mitsuhiro 63 1996 Remark on uniqueness of weak solutions to the Navier-Stokes equations. Zbl 0864.35082Kozono, Hideo; Sohr, Hermann 40 1996 Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0848.35099Kozono, Hideo; Yamazaki, Masao 33 1995 The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35089Kozono, Hideo; Yamazaki, Masao 30 1995 Global solution for the Yang-Mills gradient flow on \(4\)-manifolds. Zbl 0849.58018Kozono, Hideo; Maeda, Yoshiaki; Naito, Hisashi 8 1995 The exterior problem for the non-stationary Navier-Stokes equation with data in the space \(L^{n,\infty}\). Zbl 0834.35099Kozono, Hideo; Yamazaki, Masao 1 1995 The Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). Zbl 0843.35075Kozono, Hideo; Yamazaki, Masao 1 1995 Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation. Zbl 0853.35088Kozono, Hideo; Yamazaki, Masao 1 1995 Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. Zbl 0803.35068Kozono, Hideo; Yamazaki, Masao 219 1994 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,204 Authors 66 Kozono, Hideo 39 Fan, Jishan 39 Farwig, Reinhard 31 Chae, Dongho 28 Gala, Sadek 26 Ogawa, Takayoshi 25 Winkler, Michael 22 Ozawa, Tohru 20 Sawano, Yoshihiro 19 Ferreira, Lucas Catão de Freitas 19 Galdi, Giovanni Paolo 19 Haroske, Dorothee D. 18 Shimizu, Senjo 18 Zhang, Zhifei 18 Zhou, Yong 17 Skrzypczak, Leszek 17 Yang, Dachun 16 Sohr, Hermann 16 Yuan, Baoquan 15 Dong, Boqing 15 Wolf, Jörg 15 Yuan, Wen 15 Zhao, Jihong 14 Liu, Qiao 14 Ragusa, Maria Alessandra 14 Taniuchi, Yasushi 13 Amrouche, Chérif 13 Hieber, Matthias 13 Karch, Grzegorz 13 Kim, Hyunseok 13 Lu, Guozhen 13 Sugiyama, Yoshie 13 Zhang, Zujin 12 Giga, Yoshikazu 12 Iwabuchi, Tsukasa 12 Kang, Kyungkeun 12 Pileckas, Konstantin 12 Wadade, Hidemitsu 11 Berselli, Luigi Carlo 11 He, Cheng 11 Jin, Bumja 11 Pan, Xinghong 11 Skalák, Zdeněk 11 Takada, Ryo 11 Yang, Minghua 10 Han, Pigong 10 Hishida, Toshiaki 10 Lemarié-Rieusset, Pierre Gilles 10 Maremonti, Paolo 10 Neustupa, Jiří 10 Pan, Xingbin 10 Wang, Yinxia 10 Wang, Yuzhu 10 Yanagisawa, Taku 9 Chang, Tongkeun 9 Chen, Qionglei 9 Feireisl, Eduard 9 Nečasová, Šárka 9 Nguyen Thieu Huy 9 Wang, Yun 9 Ye, Zhuan 8 Bae, Hyeong-Ohk 8 Danchin, Raphaël 8 Deuring, Paul 8 Schonbek, Maria Elena 8 Sun, Jinyi 8 Vu Thi Ngoc Ha 8 Xiang, Zhaoyin 8 Xu, Jiang 8 Yu, Xinwei 7 Biler, Piotr 7 Choe, Hi Jun 7 Guo, Zhengguang 7 Jia, Yan 7 Li, Zijin 7 Miura, Hideyuki 7 Domingues de Moura, Susana 7 Okabe, Takahiro 7 Terasawa, Yutaka 7 Tsai, Tai-Peng 7 Van Goethem, Nicolas 7 Villamizar-Roa, Elder Jesús 7 Wu, Fan 6 Barker, Tobias 6 Chen, Lu 6 Chen, Zhimin 6 Cui, Shangbin 6 de Souza, Manassés X. 6 Fu, Zunwei 6 Grujić, Zoran 6 Hoshino, Gaku 6 Hou, Thomas Yizhao 6 Ishige, Kazuhiro 6 Lam, Nguyen 6 Lee, Jihoon 6 Maekawa, Yasunori 6 Masmoudi, Nader 6 Meslameni, Mohamed 6 Mucha, Piotr Bogusław 6 Nakamura, Gen ...and 1,104 more Authors all top 5 Cited in 223 Serials 128 Journal of Differential Equations 103 Journal of Mathematical Analysis and Applications 73 Nonlinear Analysis. 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