Giga, Yoshikazu; Gu, Zhongyang The Helmholtz decomposition of a \(BMO\) type vector field in general unbounded domains. (English) Zbl 07787947 Adv. Differ. Equ. 29, No. 5-6, 389-436 (2024). MSC: 30H35 PDFBibTeX XMLCite \textit{Y. Giga} and \textit{Z. Gu}, Adv. Differ. Equ. 29, No. 5--6, 389--436 (2024; Zbl 07787947) Full Text: DOI arXiv Link
Giga, Yoshikazu (ed.); Hieber, Matthias (ed.); Korn, Peter (ed.); Titi, Edriss S. (ed.) Mathematical advances in geophysical fluid dynamics. Abstracts from the workshop held November 13–19, 2022. (English) Zbl 1521.00016 Oberwolfach Rep. 19, No. 4, 2961-3003 (2022). MSC: 00B05 00B25 35-06 60-06 76-06 60H07 35B27 60H15 76M50 78M40 PDFBibTeX XMLCite \textit{Y. Giga} (ed.) et al., Oberwolfach Rep. 19, No. 4, 2961--3003 (2022; Zbl 1521.00016) Full Text: DOI
Giga, Yoshikazu; Gries, Mathis; Hieber, Matthias; Hussein, Amru; Kashiwabara, Takahito The primitive equations in the scaling-invariant space \(L^{\infty}(L^1)\). (English) Zbl 1481.35329 J. Evol. Equ. 21, No. 4, 4145-4169 (2021). MSC: 35Q35 35Q86 76D03 76M60 86A05 35A01 35A02 35D35 47D06 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Evol. Equ. 21, No. 4, 4145--4169 (2021; Zbl 1481.35329) Full Text: DOI arXiv
Giga, Yoshikazu; Gu, Zhongyang; Hsu, Pen-Yuan Continuous alignment of vorticity direction prevents the blow-up of the Navier-Stokes flow under the no-slip boundary condition. (English) Zbl 1447.35246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111579, 11 p. (2019). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 76D05 35B65 35B35 PDFBibTeX XMLCite \textit{Y. Giga} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111579, 11 p. (2019; Zbl 1447.35246) Full Text: DOI
Farwig, Reinhard; Giga, Yoshikazu; Hsu, Pen-Yuan On the continuity of the solutions to the Navier-Stokes equations with initial data in critical Besov spaces. (English) Zbl 1428.35285 Ann. Mat. Pura Appl. (4) 198, No. 5, 1495-1511 (2019). MSC: 35Q30 76D05 35B35 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{R. Farwig} et al., Ann. Mat. Pura Appl. (4) 198, No. 5, 1495--1511 (2019; Zbl 1428.35285) Full Text: DOI
Endo, Masakazu; Giga, Yoshikazu; Götz, Dario; Liu, Chun Stability of a two-dimensional Poiseuille-type flow for a viscoelastic fluid. (English) Zbl 1369.35057 J. Math. Fluid Mech. 19, No. 1, 17-45 (2017). MSC: 35Q35 35A01 35A02 35B35 76A05 76A10 76D03 PDFBibTeX XMLCite \textit{M. Endo} et al., J. Math. Fluid Mech. 19, No. 1, 17--45 (2017; Zbl 1369.35057) Full Text: DOI Link
Koba, Hajime; Liu, Chun; Giga, Yoshikazu Energetic variational approaches for incompressible fluid systems on an evolving surface. (English) Zbl 1358.37081 Q. Appl. Math. 75, No. 2, 359-389 (2017); erratum ibid. 76, No. 1, 147-152 (2018). MSC: 37E35 97M50 49S05 49Q20 35A15 35Q35 37N10 76M30 PDFBibTeX XMLCite \textit{H. Koba} et al., Q. Appl. Math. 75, No. 2, 359--389 (2017; Zbl 1358.37081) Full Text: DOI
Amann, Herbert; Giga, Yoshikazu; Okamoto, Hisashi; Kozono, Hideo; Yamazaki, Masaso The work of Yoshihiro Shibata. (English) Zbl 1337.01007 Amann, Herbert (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 (ISBN 978-3-0348-0938-2/hbk; 978-3-0348-0939-9/ebook). Advances in Mathematical Fluid Mechanics, 1-12 (2016). MSC: 01A70 35-03 74-03 PDFBibTeX XMLCite \textit{H. Amann} et al., in: 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. 1--12 (2016; Zbl 1337.01007) Full Text: DOI
Giga, Yoshikazu; Saal, Jürgen Uniform exponential stability of the Ekman spiral. (English) Zbl 1314.35101 Ark. Mat. 53, No. 1, 105-126 (2015). MSC: 35Q35 76U05 35R05 35B44 86A10 PDFBibTeX XMLCite \textit{Y. Giga} and \textit{J. Saal}, Ark. Mat. 53, No. 1, 105--126 (2015; Zbl 1314.35101) Full Text: DOI
Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya On the Stokes semigroup in some non-Helmholtz domains. (English) Zbl 1321.35009 Arch. Math. 104, No. 2, 177-187 (2015). Reviewer: Ilia V. Boikov (Penza) MSC: 35J05 35Q30 76D07 PDFBibTeX XMLCite \textit{K. Abe} et al., Arch. Math. 104, No. 2, 177--187 (2015; Zbl 1321.35009) Full Text: DOI Link
Giga, Yoshikazu; Hsu, Pen-Yuan; Maekawa, Yasunori A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion. (English) Zbl 1311.35044 Commun. Partial Differ. Equations 39, No. 10, 1906-1935 (2014). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35B53 76D05 35Q30 PDFBibTeX XMLCite \textit{Y. Giga} et al., Commun. Partial Differ. Equations 39, No. 10, 1906--1935 (2014; Zbl 1311.35044) Full Text: DOI arXiv
Abe, Ken; Giga, Yoshikazu The \(L^\infty\)-Stokes semigroup in exterior domains. (English) Zbl 1293.35231 J. Evol. Equ. 14, No. 1, 1-28 (2014). MSC: 35Q35 35K90 76D07 PDFBibTeX XMLCite \textit{K. Abe} and \textit{Y. Giga}, J. Evol. Equ. 14, No. 1, 1--28 (2014; Zbl 1293.35231) Full Text: DOI
Abe, Ken; Giga, Yoshikazu Analyticity of the Stokes semigroup in spaces of bounded functions. (English) Zbl 1288.35383 Acta Math. 211, No. 1, 1-46 (2013). MSC: 35Q35 PDFBibTeX XMLCite \textit{K. Abe} and \textit{Y. Giga}, Acta Math. 211, No. 1, 1--46 (2013; Zbl 1288.35383) Full Text: DOI
Giga, Yoshikazu; Saal, Jürgen An approach to rotating boundary layers based on vector Radon measures. (English) Zbl 1267.28013 J. Math. Fluid Mech. 15, No. 1, 89-127 (2013). MSC: 28B05 28C05 76D05 76U05 35Q30 PDFBibTeX XMLCite \textit{Y. Giga} and \textit{J. Saal}, J. Math. Fluid Mech. 15, No. 1, 89--127 (2013; Zbl 1267.28013) Full Text: DOI Link
Giga, Yoshikazu; Mahalov, Alex; Yoneda, Tsuyoshi On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data. (English) Zbl 1270.35343 J. Math. Fluid Mech. 13, No. 3, 459-467 (2011). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{Y. Giga} et al., J. Math. Fluid Mech. 13, No. 3, 459--467 (2011; Zbl 1270.35343) Full Text: DOI
Giga, Yoshikazu; Miura, Hideyuki On vorticity directions near singularities for the Navier-Stokes flows with infinite energy. (English) Zbl 1216.35087 Commun. Math. Phys. 303, No. 2, 289-300 (2011). MSC: 35Q30 76D05 76D03 35B44 76D17 PDFBibTeX XMLCite \textit{Y. Giga} and \textit{H. Miura}, Commun. Math. Phys. 303, No. 2, 289--300 (2011; Zbl 1216.35087) Full Text: DOI
Giga, Yoshikazu; Jo, Hideaki; Mahalov, Alex; Yoneda, Tsuyoshi On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data. (English) Zbl 1143.76417 Physica D 237, No. 10-12, 1422-1428 (2008). MSC: 76D03 76U05 35Q30 PDFBibTeX XMLCite \textit{Y. Giga} et al., Physica D 237, No. 10--12, 1422--1428 (2008; Zbl 1143.76417) Full Text: DOI
Giga, Yoshikazu; Inui, Katsuya; Mahalov, Alex; Matsui, Shin’ya; Saal, Jürgen Rotating Navier-Stokes equations in \({\mathbb R}^{3}_{+}\) with initial data nondecreasing at infinity: The Ekman boundary layer problem. (English) Zbl 1130.76025 Arch. Ration. Mech. Anal. 186, No. 2, 177-224 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 76D03 76U05 35Q30 PDFBibTeX XMLCite \textit{Y. Giga} et al., Arch. Ration. Mech. Anal. 186, No. 2, 177--224 (2007; Zbl 1130.76025) Full Text: DOI