Kozono, Hideo; Ushikoshi, Erika; Wakabayashi, Fumitaka Removability of time-dependent singularities of solutions to the Navier-Stokes equations. (English) Zbl 07808363 J. Differ. Equations 388, 59-81 (2024). MSC: 35Q30 76S05 35D30 35B65 35A21 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Differ. Equations 388, 59--81 (2024; Zbl 07808363) Full Text: DOI
Kozono, Hideo; Shimizu, Senjo Stability of stationary solutions to the Navier-Stokes equations in the Besov space. (English) Zbl 1523.35154 Math. Nachr. 296, No. 5, 1964-1982 (2023). MSC: 35J47 35Q30 35B35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{S. Shimizu}, Math. Nachr. 296, No. 5, 1964--1982 (2023; Zbl 1523.35154) Full Text: DOI
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition. (English) Zbl 1516.35306 J. Differ. Equations 365, 905-926 (2023). MSC: 35Q30 35B53 35B07 76D05 76D17 35B40 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Differ. Equations 365, 905--926 (2023; Zbl 1516.35306) Full Text: DOI arXiv
Kozono, Hideo; Ushikoshi, Erika; Wakabayashi, Fumitaka Removable time-dependent singularities of solutions to the Stokes equations. (English) Zbl 1501.35283 J. Differ. Equations 342, 472-489 (2023). MSC: 35Q30 35D30 35A21 76D07 35A02 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Differ. Equations 342, 472--489 (2023; Zbl 1501.35283) Full Text: DOI
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Liouville-type theorems for the new Taylor–Couette flow of the stationary Navier–Stokes equations. arXiv:2305.08451 Preprint, arXiv:2305.08451 [math.AP] (2023). MSC: 35Q30 35B53 76D05 BibTeX Cite \textit{H. Kozono} et al., ``Liouville-type theorems for the new Taylor--Couette flow of the stationary Navier--Stokes equations'', Preprint, arXiv:2305.08451 [math.AP] (2023) Full Text: arXiv OA License
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral. (English) Zbl 1496.35280 Indiana Univ. Math. J. 71, No. 3, 1299-1316 (2022). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 35Q30 35B53 35A02 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., Indiana Univ. Math. J. 71, No. 3, 1299--1316 (2022; Zbl 1496.35280) Full Text: DOI arXiv
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Asymptotic properties of steady solutions to the 3D axisymmetric Navier-Stokes equations with no swirl. (English) Zbl 1479.35620 J. Funct. Anal. 282, No. 2, Article ID 109289, 21 p. (2022). MSC: 35Q30 35B53 35B40 35B45 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Funct. Anal. 282, No. 2, Article ID 109289, 21 p. (2022; Zbl 1479.35620) Full Text: DOI arXiv
Farwig, Reinhard; Kozono, Hideo; Tsuda, Kazuyuki; Wegmann, David The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary. (English) Zbl 1478.35167 Nonlinear Anal., Real World Appl. 61, Article ID 103339, 17 p. (2021). MSC: 35Q30 35A22 PDFBibTeX XMLCite \textit{R. Farwig} et al., Nonlinear Anal., Real World Appl. 61, Article ID 103339, 17 p. (2021; Zbl 1478.35167) Full Text: DOI
Kozono, Hideo; Okada, Akira; Shimizu, Senjo Necessary and sufficient condition on initial data in the Besov space for solutions in the Serrin class of the Navier-Stokes equations. (English) Zbl 1514.35320 J. Evol. Equ. 21, No. 3, 3015-3033 (2021). MSC: 35Q30 76D05 35A02 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Evol. Equ. 21, No. 3, 3015--3033 (2021; Zbl 1514.35320) Full Text: DOI
Kozono, Hideo; Okada, Akira; Shimizu, Senjo Characterization of initial data in the homogeneous Besov space for solutions in the Serrin class of the Navier-Stokes equations. (English) Zbl 1433.35234 J. Funct. Anal. 278, No. 5, Article ID 108390, 47 p. (2020). MSC: 35Q30 76D05 35B45 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Funct. Anal. 278, No. 5, Article ID 108390, 47 p. (2020; Zbl 1433.35234) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Wegmann, David Maximal regularity of the Stokes operator in an exterior domain with moving boundary and application to the Navier-Stokes equations. (English) Zbl 1428.35286 Math. Ann. 375, No. 3-4, 949-972 (2019). MSC: 35Q30 35B40 35J65 76D05 76D07 35R37 35B65 76D03 PDFBibTeX XMLCite \textit{R. Farwig} et al., Math. Ann. 375, No. 3--4, 949--972 (2019; Zbl 1428.35286) Full Text: DOI
Kaneko, Kenta; Kozono, Hideo; Shimizu, Senjo Stationary solution to the Navier-Stokes equations in the scaling invariant Besov space and its regularity. (English) Zbl 1428.35298 Indiana Univ. Math. J. 68, No. 3, 857-880 (2019). MSC: 35Q30 35B65 35C06 76B03 PDFBibTeX XMLCite \textit{K. Kaneko} et al., Indiana Univ. Math. J. 68, No. 3, 857--880 (2019; Zbl 1428.35298) Full Text: DOI Link
Kozono, Hideo; Shimizu, Senjo Strong solutions of the Navier-Stokes equations based on the maximal Lorentz regularity theorem in Besov spaces. (English) Zbl 1412.35223 J. Funct. Anal. 276, No. 3, 896-931 (2019). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35D35 35B65 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{S. Shimizu}, J. Funct. Anal. 276, No. 3, 896--931 (2019; Zbl 1412.35223) Full Text: DOI
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta Finite energy of generalized suitable weak solutions to the Navier-Stokes equations and Liouville-type theorems in two dimensional domains. (English) Zbl 1513.35429 J. Differ. Equations 265, No. 4, 1227-1247 (2018). MSC: 35Q30 35B53 35D30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Differ. Equations 265, No. 4, 1227--1247 (2018; Zbl 1513.35429) Full Text: DOI arXiv
Kozono, Hideo; Shimizu, Senjo Strong solutions of the Navier-Stokes equations with singular data. (English) Zbl 1404.35325 Danchin, Raphaël (ed.) et al., Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3646-9/pbk; 978-1-4704-4807-3/ebook). Contemporary Mathematics 710, 163-173 (2018). MSC: 35Q30 76D03 76D05 35D35 35R06 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{S. Shimizu}, Contemp. Math. 710, 163--173 (2018; Zbl 1404.35325) Full Text: DOI
Kozono, Hideo; Shimizu, Senjo Navier-Stokes equations with external forces in time-weighted Besov spaces. (English) Zbl 06941723 Math. Nachr. 291, No. 11-12, 1781-1800 (2018). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{S. Shimizu}, Math. Nachr. 291, No. 11--12, 1781--1800 (2018; Zbl 06941723) Full Text: DOI
Kozono, Hideo; Shimizu, Senjo Navier-Stokes equations with external forces in Lorentz spaces and its application to the self-similar solutions. (English) Zbl 1379.35212 J. Math. Anal. Appl. 458, No. 2, 1693-1708 (2018). MSC: 35Q30 35B65 76D07 35A01 35B35 35C06 46E30 35D35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{S. Shimizu}, J. Math. Anal. Appl. 458, No. 2, 1693--1708 (2018; Zbl 1379.35212) Full Text: DOI
Wegmann, David; Farwig, Reinhard; Kozono, Hideo Decay of non-stationary Navier-Stokes flow with nonzero Dirichlet boundary data. (English) Zbl 1390.35238 Indiana Univ. Math. J. 66, No. 6, 2169-2185 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35B40 35J65 PDFBibTeX XMLCite \textit{D. Wegmann} et al., Indiana Univ. Math. J. 66, No. 6, 2169--2185 (2017; Zbl 1390.35238) Full Text: DOI Link Link
Farwig, Reinhard; Kozono, Hideo; Wegmann, David Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data. (English) Zbl 1367.35107 J. Math. Anal. Appl. 453, No. 1, 271-286 (2017). MSC: 35Q30 35D35 35D30 35B40 76D05 PDFBibTeX XMLCite \textit{R. Farwig} et al., J. Math. Anal. Appl. 453, No. 1, 271--286 (2017; Zbl 1367.35107) Full Text: DOI
Kozono, Hideo; Terasawa, Yutaka; Wakasugi, Yuta A remark on Liouville-type theorems for the stationary Navier-Stokes equations in three space dimensions. (English) Zbl 1354.35070 J. Funct. Anal. 272, No. 2, 804-818 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q30 35B53 76D05 35B45 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Funct. Anal. 272, No. 2, 804--818 (2017; Zbl 1354.35070) Full Text: DOI
Kozono, Hideo; Miura, Masanari; Sugiyama, Yoshie Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid. (English) Zbl 1343.35069 J. Funct. Anal. 270, No. 5, 1663-1683 (2016). MSC: 35G55 35Q30 92C17 35B40 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Funct. Anal. 270, No. 5, 1663--1683 (2016; Zbl 1343.35069) Full Text: DOI
Amann, Herbert (ed.); Giga, Yoshikazu (ed.); Kozono, Hideo (ed.); Okamoto, Hisashi (ed.); Yamazaki, Masao (ed.) Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata’s 60th birthday, Nara, Japan, March, 5–9, 2013. (English) Zbl 1341.35001 Advances in Mathematical Fluid Mechanics. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). ix, 482 p. (2016). MSC: 35-06 35Q35 35Q30 35Q05 76-06 76D05 00B25 00B30 PDFBibTeX XMLCite \textit{H. Amann} (ed.) et al., Recent developments of mathematical fluid mechanics. Proceedings of the international conference on mathematical fluid dynamics on the occasion of Yoshihiro Shibata's 60th birthday, Nara, Japan, March, 5--9, 2013. Basel: Birkhäuser/Springer (2016; Zbl 1341.35001) Full Text: DOI
Kanbayashi, Naoya; Kozono, Hideo; Okabe, Takahiro Remark on the stability of the large stationary solutions to the Navier-Stokes equations under the general flux condition. (English) Zbl 1306.35085 J. Math. Anal. Appl. 409, No. 1, 378-392 (2014). MSC: 35Q30 35B35 PDFBibTeX XMLCite \textit{N. Kanbayashi} et al., J. Math. Anal. Appl. 409, No. 1, 378--392 (2014; Zbl 1306.35085) Full Text: DOI
Kozono, Hideo; Mashiko, Yuki; Takada, Ryo Existence of periodic solutions and their asymptotic stability to the Navier-Stokes equations with the Coriolis force. (English) Zbl 1300.35075 J. Evol. Equ. 14, No. 3, 565-601 (2014). MSC: 35Q30 76U05 35B10 35B40 35B35 PDFBibTeX XMLCite \textit{H. Kozono} et al., J. Evol. Equ. 14, No. 3, 565--601 (2014; Zbl 1300.35075) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality. (English) Zbl 1285.35065 J. Differ. Equations 256, No. 7, 2633-2658 (2014). MSC: 35Q30 35J65 76D05 35D30 PDFBibTeX XMLCite \textit{R. Farwig} and \textit{H. Kozono}, J. Differ. Equations 256, No. 7, 2633--2658 (2014; Zbl 1285.35065) Full Text: DOI
Kozono, Hideo; Yanagisawa, Taku \(L^r\)-Helmholtz decomposition and its application to the Navier-Stokes equations. (English) Zbl 1348.35172 Lin, Fanghua (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 3. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-267-1/hbk). Morningside Lectures in Mathematics 3, 237-290 (2013). MSC: 35Q30 35-02 76D05 58A12 58A14 35D30 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Yanagisawa}, Morningside Lect. Math. 3, 237--290 (2013; Zbl 1348.35172)
Heck, Horst; Kim, Hyunseok; Kozono, Hideo Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle. (English) Zbl 1288.35371 Math. Ann. 356, No. 2, 653-681 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q30 76D05 35D30 PDFBibTeX XMLCite \textit{H. Heck} et al., Math. Ann. 356, No. 2, 653--681 (2013; Zbl 1288.35371) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Yanagisawa, Taku Leray’s inequality in general multi-connected domains in \({\mathbb{R}^n}\). (English) Zbl 1248.35142 Math. Ann. 354, No. 1, 137-145 (2012). MSC: 35Q30 26D10 PDFBibTeX XMLCite \textit{R. Farwig} et al., Math. Ann. 354, No. 1, 137--145 (2012; Zbl 1248.35142) Full Text: DOI
Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes equations in exterior domains. (English) Zbl 1248.35147 J. Math. Anal. Appl. 395, No. 2, 486-495 (2012). MSC: 35Q30 35D30 76D03 PDFBibTeX XMLCite \textit{H. Kim} and \textit{H. Kozono}, J. Math. Anal. Appl. 395, No. 2, 486--495 (2012; Zbl 1248.35147) Full Text: DOI
Heck, Horst; Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes flows around a rotating body. (English) Zbl 1241.35148 Manuscr. Math. 138, No. 3-4, 315-345 (2012). MSC: 35Q30 74F10 35A01 76D05 PDFBibTeX XMLCite \textit{H. Heck} et al., Manuscr. Math. 138, No. 3--4, 315--345 (2012; Zbl 1241.35148) Full Text: DOI
Adachi, T. (ed.); Giga, Y. (ed.); Hishida, T. (ed.); Kagei, Y. (ed.); Kozono, H. (ed.); Ogawa, T. (ed.) Mathematical analysis on the Navier-Stokes equations and related topics, past and future. International conference in memory of Professor Tetsuro Miyakawa, Kobe, Japan, December 7–9, 2009. (English) Zbl 1298.35004 GAKUTO International Series. Mathematical Sciences and Applications 35. Tokyo: Gakkōtosho (ISBN 978-4-7625-0460-0). 241 p. (2011). MSC: 35-06 35Q30 76D05 76N10 00B30 PDFBibTeX XMLCite \textit{T. Adachi} (ed.) et al., Mathematical analysis on the Navier-Stokes equations and related topics, past and future. International conference in memory of Professor Tetsuro Miyakawa, Kobe, Japan, December 7--9, 2009. Tokyo: Gakkōtosho (2011; Zbl 1298.35004)
Farwig, R.; Kozono, H.; Sohr, H. Global Leray-Hopf weak solutions of the Navier-Stokes equations with nonzero time-dependent boundary values. (English) Zbl 1247.35090 Escher, Joachim (ed.) et al., Parabolic problems. The Herbert Amann Festschrift. Based on the conference on nonlinear parabolic problems held in celebration of Herbert Amann’s 70th birthday at the Banach Center in Bȩdlewo, Poland, May 10–16, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0074-7/hbk; 978-3-0348-0075-4/ebook). Progress in Nonlinear Differential Equations and Their Applications 80, 211-232 (2011). MSC: 35Q30 35J65 76D05 35D30 PDFBibTeX XMLCite \textit{R. Farwig} et al., Prog. Nonlinear Differ. Equ. Appl. 80, 211--232 (2011; Zbl 1247.35090) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence. (English) Zbl 1236.35103 Rend. Semin. Mat. Univ. Padova 125, 51-70 (2011). MSC: 35Q30 76D05 35J65 35D30 PDFBibTeX XMLCite \textit{R. Farwig} et al., Rend. Semin. Mat. Univ. Padova 125, 51--70 (2011; Zbl 1236.35103) Full Text: DOI EuDML Link
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Regularity of weak solutions for the Navier-Stokes equations via energy criteria. (English) Zbl 1374.35280 Rannacher, Rolf (ed.) et al., Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday. Selected papers of the international conference on mathematical fluid mechanics, Estoril, Portugal, May 21–25, 2007. Berlin: Springer (ISBN 978-3-642-04067-2/hbk; 978-3-642-04068-9/ebook). 215-227 (2010). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{R. Farwig} et al., in: Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday. Selected papers of the international conference on mathematical fluid mechanics, Estoril, Portugal, May 21--25, 2007. Berlin: Springer. 215--227 (2010; Zbl 1374.35280) Full Text: DOI
Farwig, R.; Kozono, H.; Sohr, H. Global weak solutions of the Navier-Stokes system with nonzero boundary conditions. (English) Zbl 1291.35030 Funkc. Ekvacioj, Ser. Int. 53, No. 2, 231-247 (2010). MSC: 35D30 76D03 35Q30 76D05 PDFBibTeX XMLCite \textit{R. Farwig} et al., Funkc. Ekvacioj, Ser. Int. 53, No. 2, 231--247 (2010; Zbl 1291.35030) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Energy-based regularity criteria for the Navier-Stokes equations. (English) Zbl 1185.35162 J. Math. Fluid Mech. 11, No. 3, 428-442 (2009). MSC: 35Q30 76D03 76D05 35B65 35D30 PDFBibTeX XMLCite \textit{R. Farwig} et al., J. Math. Fluid Mech. 11, No. 3, 428--442 (2009; Zbl 1185.35162) Full Text: DOI
Kozono, Hideo; Yanagisawa, Taku Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected bounded domain. (English) Zbl 1185.35168 Pac. J. Math. 243, No. 1, 127-150 (2009). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 35D30 76D05 76D03 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Yanagisawa}, Pac. J. Math. 243, No. 1, 127--150 (2009; Zbl 1185.35168) Full Text: DOI
Heck, Horst; Kim, Hyunseok; Kozono, Hideo Stability of plane Couette flows with respect to small periodic perturbations. (English) Zbl 1173.35627 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3739-3758 (2009). MSC: 35Q30 76E05 PDFBibTeX XMLCite \textit{H. Heck} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3739--3758 (2009; Zbl 1173.35627) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann On the Stokes operator in general unbounded domains. (English) Zbl 1170.76011 Hokkaido Math. J. 38, No. 1, 111-136 (2009). MSC: 76D03 76D07 35Q30 PDFBibTeX XMLCite \textit{R. Farwig} et al., Hokkaido Math. J. 38, No. 1, 111--136 (2009; Zbl 1170.76011) Full Text: DOI
Kozono, Hideo; Yanagisawa, Taku Leray’s problem on the stationary Navier-Stokes equations with inhomogeneous boundary data. (English) Zbl 1169.35045 Math. Z. 262, No. 1, 27-39 (2009). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Yanagisawa}, Math. Z. 262, No. 1, 27--39 (2009; Zbl 1169.35045) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin’s condition. (English) Zbl 1154.35416 Rencławowicz, Joanna (ed.) et al., Parabolic and Navier-Stokes equations. Part 1. Proceedings of the confererence, Bȩdlewo, Poland, September 10–17, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 1, 175-184 (2008). MSC: 35Q30 35D10 35B65 76D05 76D03 PDFBibTeX XMLCite \textit{R. Farwig} et al., Banach Cent. Publ. 81, 175--184 (2008; Zbl 1154.35416) Full Text: Link
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Local in time regularity properties of the Navier-Stokes equations. (English) Zbl 1175.35100 Indiana Univ. Math. J. 56, No. 5, 2111-2131 (2007). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{R. Farwig} et al., Indiana Univ. Math. J. 56, No. 5, 2111--2131 (2007; Zbl 1175.35100) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann The Stokes resolvent problem in general unbounded domains. (English) Zbl 1127.35035 RIMS Kôkyûroku Bessatsu B1, 78-91 (2007). Reviewer: Josef Wloka (Kiel) MSC: 35Q30 46N20 PDFBibTeX XMLCite \textit{R. Farwig} et al., RIMS Kôkyûroku Bessatsu B1, 78--91 (2007; Zbl 1127.35035)
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data. (English) Zbl 1107.76022 J. Math. Soc. Japan 59, No. 1, 127-150 (2007). MSC: 76D03 35Q30 76D05 PDFBibTeX XMLCite \textit{R. Farwig} et al., J. Math. Soc. Japan 59, No. 1, 127--150 (2007; Zbl 1107.76022) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann On the Helmholtz decomposition in general unbounded domains. (English) Zbl 1121.35097 Arch. Math. 88, No. 3, 239-248 (2007). MSC: 35Q30 76D03 76D07 35Q35 PDFBibTeX XMLCite \textit{R. Farwig} et al., Arch. Math. 88, No. 3, 239--248 (2007; Zbl 1121.35097) Full Text: DOI
Kim, Hyunseok; Kozono, Hideo A removable isolated singularity theorem for the stationary Navier-Stokes equations. (English) Zbl 1095.35026 J. Differ. Equations 220, No. 1, 68-84 (2006). Reviewer: A. Cichocka (Katowice) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kim} and \textit{H. Kozono}, J. Differ. Equations 220, No. 1, 68--84 (2006; Zbl 1095.35026) Full Text: DOI
Farwig, Reinhard; Kozono, Hideo; Sohr, Hermann An \(L^q\)-approach to Stokes and Navier-Stokes equations in general domains. (English) Zbl 1111.35033 Acta Math. 195, No. 1, 21-53 (2005). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D07 76D05 PDFBibTeX XMLCite \textit{R. Farwig} et al., Acta Math. 195, No. 1, 21--53 (2005; Zbl 1111.35033) Full Text: DOI
Kim, Hyunseok; Kozono, Hideo Interior regularity criteria in weak spaces for the Navier-Stokes equations. (English) Zbl 1177.35153 Manuscr. Math. 115, No. 1, 85-100 (2004). Reviewer: Oleg Titow (Berlin) MSC: 35Q30 76N10 35D30 PDFBibTeX XMLCite \textit{H. Kim} and \textit{H. Kozono}, Manuscr. Math. 115, No. 1, 85--100 (2004; Zbl 1177.35153) Full Text: DOI
Kozono, Hideo; Shimada, Yukihiro Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations. (English) Zbl 1078.35087 Math. Nachr. 276, 63-74 (2004). Reviewer: Klaus Deckelnick (Magdeburg) MSC: 35Q30 42B25 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{Y. Shimada}, Math. Nachr. 276, 63--74 (2004; Zbl 1078.35087) Full Text: DOI
Kozono, Hideo; Yatsu, Naoki Extension criterion via two-components of vorticity on strong solutions to the 3D Navier-Stokes equations. (English) Zbl 1060.35105 Math. Z. 246, No. 1-2, 55-68 (2004). Reviewer: Uwe Kähler (Aveiro) MSC: 35Q30 35B65 76B99 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{N. Yatsu}, Math. Z. 246, No. 1--2, 55--68 (2004; Zbl 1060.35105) Full Text: DOI
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi Navier-Stokes equations in the Besov space near \(L^\infty\) and BMO. (English) Zbl 1067.35064 Kyushu J. Math. 57, No. 2, 303-324 (2003). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., Kyushu J. Math. 57, No. 2, 303--324 (2003; Zbl 1067.35064) Full Text: DOI
Kozono, Hideo; Ogawa, Takayoshi; Taniuchi, Yasushi The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. (English) Zbl 1055.35087 Math. Z. 242, No. 2, 251-278 (2002). Reviewer: B. G. Pachpatte (Aurangabad) MSC: 35Q30 35Q05 35L60 76B03 76D03 PDFBibTeX XMLCite \textit{H. Kozono} et al., Math. Z. 242, No. 2, 251--278 (2002; Zbl 1055.35087) Full Text: DOI
Choe, Hi Jun; Kozono, Hideo The Stokes problem for Lipschitz domains. (English) Zbl 1038.35052 Indiana Univ. Math. J. 51, No. 5, 1235-1260 (2002). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q30 76D07 76D03 PDFBibTeX XMLCite \textit{H. J. Choe} and \textit{H. Kozono}, Indiana Univ. Math. J. 51, No. 5, 1235--1260 (2002; Zbl 1038.35052) Full Text: DOI
Kozono, Hideo Uniqueness and regularity of solutions to the Navier-Stokes equations. (English) Zbl 0985.76504 RIMS Kokyuroku 1204, 58-70 (2001). MSC: 76D03 35B65 35Q30 PDFBibTeX XMLCite \textit{H. Kozono}, RIMS Kokyuroku 1204, 58--70 (2001; Zbl 0985.76504)
Kozono, Hideo On well-posedness of the Navier-Stokes equations. (English) Zbl 0992.35070 Neustupa, Jiří(ed.) et al., Mathematical fluid mechanics. Recent results and open questions. Basel: Birkhäuser. Adv. Math. Fluid Mech. 207-236 (2001). Reviewer: A.Cichocka (Katowice) MSC: 35Q30 76D03 35B35 35B60 35B40 PDFBibTeX XMLCite \textit{H. Kozono}, Adv. Math. Fluid Mech. 207--236, 207--236 (2001; Zbl 0992.35070)
Kozono, Hideo Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains. (English) Zbl 0980.35127 Math. Ann. 320, No. 4, 709-730 (2001). MSC: 35Q30 35B40 76D07 PDFBibTeX XMLCite \textit{H. Kozono}, Math. Ann. 320, No. 4, 709--730 (2001; Zbl 0980.35127) Full Text: DOI
Kozono, Hideo Weak solutions of the Navier-Stokes equations with test functions in the weak-\(L^n\) space. (English) Zbl 0997.35047 Tohoku Math. J., II. Ser. 53, No. 1, 55-79 (2001). Reviewer: Grzegorz Karch (Wrocław) MSC: 35Q30 76D03 35D05 PDFBibTeX XMLCite \textit{H. Kozono}, Tôhoku Math. J. (2) 53, No. 1, 55--79 (2001; Zbl 0997.35047) Full Text: DOI
Kozono, Hideo; Taniuchi, Yasushi Bilinear estimates and critical Sobolev inequality in BMO, with applications to the Navier-Stokes and the Euler equations. (English) Zbl 0968.35512 RIMS Kokyuroku 1146, 39-52 (2000). MSC: 35Q30 76B03 76D03 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{Y. Taniuchi}, RIMS Kokyuroku 1146, 39--52 (2000; Zbl 0968.35512)
Kozono, Hideo; Taniuchi, Yasushi Bilinear estimates in \(BMO\) and the Navier-Stokes equations. (English) Zbl 0970.35099 Math. Z. 235, No. 1, 173-194 (2000). Reviewer: Grzegorz Karch (Wrocław) MSC: 35Q30 35B40 76D03 35B65 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{Y. Taniuchi}, Math. Z. 235, No. 1, 173--194 (2000; Zbl 0970.35099) Full Text: DOI
Kozono, Hideo Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations. (English) Zbl 0970.35106 J. Funct. Anal. 176, No. 2, 153-197 (2000). Reviewer: Dan Polisevski (Bucureşti) MSC: 35Q30 76E09 76D05 PDFBibTeX XMLCite \textit{H. Kozono}, J. Funct. Anal. 176, No. 2, 153--197 (2000; Zbl 0970.35106) Full Text: DOI
Kozono, Hideo; Yamazaki, Masao Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains. (English) Zbl 0934.35123 Nonlinear Anal., Theory Methods Appl. 38, No. 8, A, 959-970 (1999). Reviewer: Hans-Christoph Grunau (Bayreuth) MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Nonlinear Anal., Theory Methods Appl. 38, No. 8, 959--970 (1999; Zbl 0934.35123) Full Text: DOI
Kozono, Hideo; Sohr, Hermann Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains. (English) Zbl 0943.35067 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 5, 535-561 (1999). Reviewer: L.Debnath (Orlando) MSC: 35Q30 35A05 35B40 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 5, 535--561 (1999; Zbl 0943.35067) Full Text: DOI Numdam EuDML
Kozono, Hideo; Yamazaki, Masao Exterior problem for the Navier-Stokes equations, existence, uniqueness and stability of stationary solutions. (English) Zbl 0932.35164 Heywood, J. G. (ed.) et al., Theory of the Navier-Stokes equations. Proceedings of the third international conference on the Navier-Stokes equations: theory and numerical methods, Oberwolfach, Germany, June 5–11, 1994. Singapore: World Scientific. Ser. Adv. Math. Appl. Sci. 47, 86-98 (1998). Reviewer: I.Sh.Mogilevskij (Ferrara) MSC: 35Q30 76D03 76D05 35B35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Ser. Adv. Math. Appl. Sci. 47, 86--98 (1998; Zbl 0932.35164)
Kozono, Hideo; Yamazaki, Masao On a larger class of stable solutions to the Navier-Stokes equations in exterior domains. (English) Zbl 0922.35119 Math. Z. 228, No. 4, 751-785 (1998). Reviewer: O.Dementev (Chelyabinsk) MSC: 35Q30 35B35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Math. Z. 228, No. 4, 751--785 (1998; Zbl 0922.35119) Full Text: DOI
Kozono, Hideo \(L^1\)-solutions of the Navier-Stokes equations in exterior domains. (English) Zbl 0920.35108 Math. Ann. 312, No. 2, 319-340 (1998). Reviewer: L.Debnath (Orlando) MSC: 35Q30 35B40 35D05 PDFBibTeX XMLCite \textit{H. Kozono}, Math. Ann. 312, No. 2, 319--340 (1998; Zbl 0920.35108) Full Text: DOI
Kozono, Hideo Removable singularities of weak solutions to the Navier-Stokes equations. (English) Zbl 0910.35090 Commun. Partial Differ. Equations 23, No. 5-6, 949-966 (1998). Reviewer: I.Sh.Mogilevskij (Ferrara) MSC: 35Q30 35A20 35D10 PDFBibTeX XMLCite \textit{H. Kozono}, Commun. Partial Differ. Equations 23, No. 5--6, 949--966 (1998; Zbl 0910.35090) Full Text: DOI
Kozono, Hideo Uniqueness and regularity of weak solutions to the Navier-Stokes equations. (English) Zbl 0941.35065 Kozono, Hideo (ed.) et al., Recent topics on mathematical theory of viscous incompressible fluid. Proceedings of the regional workshop, Tsukuba University, Japan, December 2-12, 1996. Tokyo: Kinokuniya. Lect. Notes Numer. Appl. Anal. 16, 161-208 (1998). Reviewer: T.Petrila (Cluj-Napoca) MSC: 35Q30 76D03 35D05 35D10 PDFBibTeX XMLCite \textit{H. Kozono}, Lect. Notes Numer. Appl. Anal. 16, 161--208 (1998; Zbl 0941.35065)
Kozono, Hideo (ed.); Shibata, Yoshihiro (ed.) Recent topics on mathematical theory of viscous incompressible fluid. Proceedings of the regional workshop, Tsukuba University, Japan, December 2–12, 1996. (English) Zbl 0892.00038 Lecture Notes in Numerical and Applied Analysis. 16. Tokyo: Kinokuniya. 270 p. (1998). MSC: 00B25 35-06 76-06 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} (ed.) and \textit{Y. Shibata} (ed.), Recent topics on mathematical theory of viscous incompressible fluid. Proceedings of the regional workshop, Tsukuba University, Japan, December 2--12, 1996. Tokyo: Kinokuniya (1998; Zbl 0892.00038)
Kozono, Hideo; Yamazaki, Masao Exterior problem for the stationary Navier-Stokes equations in the Lorentz space. (English) Zbl 0965.35117 Math. Ann. 310, No. 2, 279-305 (1998). Reviewer: Il’ya Sh.Mogilevskij (Tver) MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Math. Ann. 310, No. 2, 279--305 (1998; Zbl 0965.35117) Full Text: DOI
Kozono, Hideo; Sohr, Hermann Regularity criterion of weak solutions to the Navier-Stokes equations. (English) Zbl 1023.35523 Adv. Differ. Equ. 2, No. 4, 535-554 (1997). MSC: 35Q30 35D10 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Adv. Differ. Equ. 2, No. 4, 535--554 (1997; Zbl 1023.35523)
Kozono, Hideo; Yamazaki, Masao The Cauchy problem in the Lorentz space for the Navier-Stokes equation in exterior domains. (English) Zbl 0891.35115 Agemi, R. (ed.) et al., Nonlinear waves. Proceedings of the 4th MSJ International Research Institute, Sapporo, Japan, July 10–21, 1995. Tokyo: Gakkōtosho. GAKUTO Int. Ser., Math. Sci. Appl. 10, 243-248 (1997). MSC: 35Q30 35A05 35A07 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, GAKUTO Int. Ser., Math. Sci. Appl. 10, 243--248 (1997; Zbl 0891.35115)
Kozono, Hideo; Nakao, Mitsuhiro Strong periodic solutions of the Navier-Stokes equations in unbounded domains. (English) Zbl 0890.35103 Agemi, R. (ed.) et al., Nonlinear waves. Proceedings of the 4th MSJ International Research Institute, Sapporo, Japan, July 10–21, 1995. Tokyo: Gakkōtosho. GAKUTO Int. Ser., Math. Sci. Appl. 10, 237-242 (1997). MSC: 35Q30 35B10 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Nakao}, GAKUTO Int. Ser., Math. Sci. Appl. 10, 237--242 (1997; Zbl 0890.35103)
Kozono, Hideo; Sohr, Hermann; Yamazaki, Masao Representation formula, net force and energy relation to the stationary Navier-Stokes equations in 3-dimensional exterior domains. (English) Zbl 0890.35102 Kyushu J. Math. 51, No. 1, 239-260 (1997). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 35D05 76D05 PDFBibTeX XMLCite \textit{H. Kozono} et al., Kyushu J. Math. 51, No. 1, 239--260 (1997; Zbl 0890.35102) Full Text: DOI
Kozono, Hideo; Yamazaki, Masao The Navier-Stokes equation with distributions as initial data and application to self-similar solutions. (English) Zbl 0874.35087 Bony, J.-M. (ed.) et al., New trends in microlocal analysis. Tokyo: Springer. 125-141 (1997). Reviewer: A.Cichocka (Katowice) MSC: 35Q30 46N20 35A05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, in: New trends in microlocal analysis. Tokyo: Springer. 125--141 (1997; Zbl 0874.35087)
Kozono, Hideo; Sohr, Hermann Remark on uniqueness of weak solutions to the Navier-Stokes equations. (English) Zbl 0864.35082 Analysis 16, No. 3, 255-271 (1996). Reviewer: O.Dementev (Chelyabinsk) MSC: 35Q30 76D05 35D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Analysis 16, No. 3, 255--271 (1996; Zbl 0864.35082) Full Text: DOI
Kozono, Hideo; Nakao, Mitsuhiro Periodic solutions of the Navier-Stokes equations in unbounded domains. (English) Zbl 0860.35095 Tôhoku Math. J., II. Ser. 48, No. 1, 33-50 (1996). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 47H20 35B10 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Nakao}, Tôhoku Math. J. (2) 48, No. 1, 33--50 (1996; Zbl 0860.35095) Full Text: DOI
Kozono, Hideo; Yamazaki, Masao The stability of small stationary solutions in Morrey spaces of the Navier-Stokes equation. (English) Zbl 0853.35089 Indiana Univ. Math. J. 44, No. 4, 1307-1336 (1995). Reviewer: H.Kozono (Nagoya) MSC: 35Q30 35B35 35A05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Indiana Univ. Math. J. 44, No. 4, 1307--1336 (1995; Zbl 0853.35089) Full Text: DOI
Kozono, Hideo; Yamazaki, Masao Small stable stationary solutions in Morrey spaces of the Navier-Stokes equation. (English) Zbl 0853.35088 Proc. Japan Acad., Ser. A 71, No. 9, 199-201 (1995). MSC: 35Q30 35B35 46E35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Proc. Japan Acad., Ser. A 71, No. 9, 199--201 (1995; Zbl 0853.35088) Full Text: DOI
Kozono, Hideo; Yamazaki, Masao The Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). (English) Zbl 0843.35075 Concus, Paul (ed.) et al., Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 160-174 (1995). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, in: Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 160--174 (1995; Zbl 0843.35075)
Kozono, Hideo; Yamazaki, Masao Local and global unique solvability of the Navier-Stokes exterior problem with Cauchy data in the space \(L^{n,\infty}\). (English) Zbl 0848.35099 Houston J. Math. 21, No. 4, 755-799 (1995). Reviewer: Th.Sonar (Hamburg) MSC: 35Q35 35Q30 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Houston J. Math. 21, No. 4, 755--799 (1995; Zbl 0848.35099)
Kozono, Hideo; Yamazaki, Masao The exterior problem for the non-stationary Navier-Stokes equation with data in the space \(L^{n,\infty}\). (English. Abridged French version) Zbl 0834.35099 C. R. Acad. Sci., Paris, Sér. I 320, No. 6, 685-690 (1995). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, C. R. Acad. Sci., Paris, Sér. I 320, No. 6, 685--690 (1995; Zbl 0834.35099)
Kozono, Hideo; Ogawa, Takayoshi On stability of Navier-Stokes flows in exterior domains. (English) Zbl 0833.76016 Arch. Ration. Mech. Anal. 128, No. 1, 1-31 (1994). Reviewer: J.Bemelmans (Aachen) MSC: 76D05 35Q30 35B35 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ogawa}, Arch. Ration. Mech. Anal. 128, No. 1, 1--31 (1994; Zbl 0833.76016) Full Text: DOI EuDML
Kozono, Hideo; Yamazaki, Masao Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data. (English) Zbl 0803.35068 Commun. Partial Differ. Equations 19, No. 5-6, 959-1014 (1994). MSC: 35K55 35Q30 35K15 46E30 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, Commun. Partial Differ. Equations 19, No. 5--6, 959--1014 (1994; Zbl 0803.35068) Full Text: DOI
Kozono, Hideo; Ogawa, Takayoshi Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries. (English) Zbl 0798.35127 Math. Z. 216, No. 1, 1-30 (1994). Reviewer: H.Kozono (Nagoya) MSC: 35Q30 76D05 35B40 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ogawa}, Math. Z. 216, No. 1, 1--30 (1994; Zbl 0798.35127) Full Text: DOI EuDML
Kozono, Hideo; Sohr, Hermann On stationary Navier-Stokes equations in unbounded domains. (English) Zbl 0803.35107 Ric. Mat. 42, No. 1, 69-86 (1993). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Ric. Mat. 42, No. 1, 69--86 (1993; Zbl 0803.35107)
Kozono, Hideo; Yamazaki, Masao Semilinear heat equations and the Navier-Stokes equation with distributions as initial data. (English. Abridged French version) Zbl 0793.35070 C. R. Acad. Sci., Paris, Sér. I 317, No. 12, 1127-1132 (1993). MSC: 35Q30 46E35 35K55 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{M. Yamazaki}, C. R. Acad. Sci., Paris, Sér. I 317, No. 12, 1127--1132 (1993; Zbl 0793.35070)
Kozono, Hideo; Ogawa, Takayoshi Two-dimensional Navier-Stokes flow in unbounded domains. (English) Zbl 0796.35129 Math. Ann. 297, No. 1, 1-31 (1993). Reviewer: Hideo Kozono (Fukuoka) MSC: 35Q30 35B40 47D06 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ogawa}, Math. Ann. 297, No. 1, 1--31 (1993; Zbl 0796.35129) Full Text: DOI EuDML
Kozono, Hideo; Ogawa, Takayoshi Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains. (English) Zbl 0781.35053 Arch. Ration. Mech. Anal. 122, No. 1, 1-17 (1993). Reviewer: I.Sh.Mogilevskij (Tver’) MSC: 35Q30 76D05 35B40 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ogawa}, Arch. Ration. Mech. Anal. 122, No. 1, 1--17 (1993; Zbl 0781.35053) Full Text: DOI
Kozono, Hideo; Ogawa, Takayoshi; Sohr, Hermann Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains. (English) Zbl 0762.35086 Manuscr. Math. 74, No. 3, 253-275 (1992). Reviewer: K.Deckelnick (Freiburg i.Br.) MSC: 35Q30 35B40 76F05 PDFBibTeX XMLCite \textit{H. Kozono} et al., Manuscr. Math. 74, No. 3, 253--275 (1992; Zbl 0762.35086) Full Text: DOI EuDML
Kozono, Hideo; Sohr, Hermann On a new class of generalized solutions for the Stokes equations in exterior domains. (English) Zbl 0770.35055 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 2, 155-181 (1992). Reviewer: Y.Kivshar (Düsseldorf) MSC: 35Q30 35D05 76D07 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 19, No. 2, 155--181 (1992; Zbl 0770.35055) Full Text: Numdam EuDML
Kozono, Hideo; Sohr, Hermann Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains. (English) Zbl 0767.35060 J. Math. Soc. Japan 44, No. 2, 307-330 (1992). Reviewer: V.A.Sava (Iaşi) MSC: 35Q30 76D05 35D10 46N20 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, J. Math. Soc. Japan 44, No. 2, 307--330 (1992; Zbl 0767.35060) Full Text: DOI
Kozono, Hideo; Ogawa, Takayoshi Some \(L^ p\) estimate for the exterior Stokes flow and an application to the non-stationary Navier-Stokes equations. (English) Zbl 0759.35035 Indiana Univ. Math. J. 41, No. 3, 789-808 (1992). MSC: 35Q30 76D07 76D05 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ogawa}, Indiana Univ. Math. J. 41, No. 3, 789--808 (1992; Zbl 0759.35035) Full Text: DOI
Kozono, Hideo; Sohr, Hermann New a priori estimates for the Stokes equations in exterior domains. (English) Zbl 0732.35068 Indiana Univ. Math. J. 40, No. 1, 1-27 (1991). Reviewer: I.Sh.Mogilevskij (Tver) MSC: 35Q30 35J55 35D05 35B65 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{H. Sohr}, Indiana Univ. Math. J. 40, No. 1, 1--27 (1991; Zbl 0732.35068) Full Text: DOI
Kozono, Hideo; Ozawa, Tohru Stability in \(L^ r\) for the Navier-Stokes flow in an \(n\)-dimensional bounded domain. (English) Zbl 0717.76032 J. Math. Anal. Appl. 152, No. 1, 35-45 (1990). Reviewer: V.A.Sava MSC: 76D05 35Q30 35B65 PDFBibTeX XMLCite \textit{H. Kozono} and \textit{T. Ozawa}, J. Math. Anal. Appl. 152, No. 1, 35--45 (1990; Zbl 0717.76032) Full Text: DOI
Kozono, Hideo Strong solution for the Navier-Stokes flow in the half-space. (English) Zbl 0708.35064 The Navier-Stokes equations theory and numerical methods, Proc. Conf., Oberwolfach/FRG 1988, Lect. Notes Math. 1431, 84-86 (1990). Reviewer: Y.R.Romanovsky MSC: 35Q30 35B35 PDFBibTeX XML
Kozono, Hideo Global \(L^ n\)-solution and its decay property for the Navier-Stokes equations in half-space \(R^ n_ +\). (English) Zbl 0715.35062 J. Differ. Equations 79, No. 1, 79-88 (1989). Reviewer: H.Jeggle MSC: 35Q30 35B40 PDFBibTeX XMLCite \textit{H. Kozono}, J. Differ. Equations 79, No. 1, 79--88 (1989; Zbl 0715.35062) Full Text: DOI
Kozono, Hideo On a decay property of weak solution for semilinear evolution equation of parabolic type and its applications. (English) Zbl 0609.35010 Math. Z. 196, 21-38 (1987). MSC: 35B40 35K55 35Q30 PDFBibTeX XMLCite \textit{H. Kozono}, Math. Z. 196, 21--38 (1987; Zbl 0609.35010) Full Text: DOI EuDML