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
Furukawa, Ken; Giga, Yoshikazu; Kashiwabara, Takahito The hydrostatic approximation for the primitive equations by the scaled Navier-Stokes equations under the no-slip boundary condition. (English) Zbl 1503.35131 J. Evol. Equ. 21, No. 3, 3331-3373 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 35Q86 76D05 76U60 86A05 35A01 35A02 PDFBibTeX XMLCite \textit{K. Furukawa} et al., J. Evol. Equ. 21, No. 3, 3331--3373 (2021; Zbl 1503.35131) Full Text: DOI arXiv
Saito, Hirokazu; Zhang, Xin Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains. (English) Zbl 1473.35413 Discrete Contin. Dyn. Syst. 41, No. 10, 4609-4643 (2021). MSC: 35Q30 76D05 76T06 35J15 35A02 PDFBibTeX XMLCite \textit{H. Saito} and \textit{X. Zhang}, Discrete Contin. Dyn. Syst. 41, No. 10, 4609--4643 (2021; Zbl 1473.35413) Full Text: DOI arXiv
Babutzka, Jens; Kunstmann, Peer Christian \(L^p\)-Helmholtz decomposition on periodic domains and applications to Navier-Stokes equations. (English) Zbl 1444.76042 J. Math. Fluid Mech. 20, No. 3, 1093-1121 (2018). MSC: 76D05 76D03 46E30 PDFBibTeX XMLCite \textit{J. Babutzka} and \textit{P. C. Kunstmann}, J. Math. Fluid Mech. 20, No. 3, 1093--1121 (2018; Zbl 1444.76042) Full Text: DOI
Bolkart, Martin; Giga, Yoshikazu; Suzuki, Takuya Analyticity of the Stokes semigroup in BMO-type spaces. (English) Zbl 1393.35160 J. Math. Soc. Japan 70, No. 1, 153-177 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q35 76D07 PDFBibTeX XMLCite \textit{M. Bolkart} et al., J. Math. Soc. Japan 70, No. 1, 153--177 (2018; Zbl 1393.35160) Full Text: DOI
Nguyen, Thieu Huy; Trinh, Viet Duoc; Vu, Thi Ngoc Ha; Vu, Thi Mai Boundedness, almost periodicity and stability of certain Navier-Stokes flows in unbounded domains. (English) Zbl 1378.35223 J. Differ. Equations 263, No. 12, 8979-9002 (2017). MSC: 35Q30 35B35 35B10 76D05 76D07 76D03 PDFBibTeX XMLCite \textit{T. H. Nguyen} et al., J. Differ. Equations 263, No. 12, 8979--9002 (2017; Zbl 1378.35223) Full Text: DOI
Abe, Ken; Giga, Yoshikazu; Schade, Katharina; Suzuki, Takuya On the Stokes resolvent estimates for cylindrical domains. (English) Zbl 1396.35045 J. Evol. Equ. 17, No. 1, 17-49 (2017). MSC: 35Q30 35B44 35B45 76D07 PDFBibTeX XMLCite \textit{K. Abe} et al., J. Evol. Equ. 17, No. 1, 17--49 (2017; Zbl 1396.35045) Full Text: DOI Link
Bolkart, Martin; Giga, Yoshikazu On \(L^\infty \)-BMO estimates for derivatives of the Stokes semigroup. (English) Zbl 1354.35065 Math. Z. 284, No. 3-4, 1163-1183 (2016). MSC: 35Q30 76D07 35B45 35B44 PDFBibTeX XMLCite \textit{M. Bolkart} and \textit{Y. Giga}, Math. Z. 284, No. 3--4, 1163--1183 (2016; Zbl 1354.35065) Full Text: DOI
Simader, Christian G.; Sohr, Hermann; Varnhorn, Werner Necessary and sufficient conditions for the existence of Helmholtz decompositions in general domains. (English) Zbl 1304.35506 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 245-262 (2014). Reviewer: Nicolae Pop (Baia Mare) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{C. G. Simader} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 60, No. 1, 245--262 (2014; Zbl 1304.35506) Full Text: DOI
Maekawa, Yasunori; Miura, Hideyuki Remark on the Helmholtz decomposition in domains with noncompact boundary. (English) Zbl 1295.35184 Math. Ann. 359, No. 3-4, 1077-1095 (2014). MSC: 35F05 46E30 PDFBibTeX XMLCite \textit{Y. Maekawa} and \textit{H. Miura}, Math. Ann. 359, No. 3--4, 1077--1095 (2014; Zbl 1295.35184) Full Text: DOI arXiv
Hishida, Toshiaki On the relation between the large time behavior of the Stokes semigroup and the decay of steady Stokes flow at infinity. (English) Zbl 1247.35092 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, 343-355 (2011). MSC: 35Q30 76D07 PDFBibTeX XMLCite \textit{T. Hishida}, Prog. Nonlinear Differ. Equ. Appl. 80, 343--355 (2011; Zbl 1247.35092) Full Text: DOI
Dreher, Michael; Wang, Ya-Guang Decay estimates for a thermoelastic system in waveguides. (English) Zbl 1195.35055 J. Differ. Equations 248, No. 9, 2368-2398 (2010). Reviewer: Igor Bock (Bratislava) MSC: 35B40 35G15 35B05 74F05 PDFBibTeX XMLCite \textit{M. Dreher} and \textit{Y.-G. Wang}, J. Differ. Equations 248, No. 9, 2368--2398 (2010; Zbl 1195.35055) 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
Abels, Helmut; Terasawa, Yutaka On Stokes operators with variable viscosity in bounded and unbounded domains. (English) Zbl 1172.35050 Math. Ann. 344, No. 2, 381-429 (2009). Reviewer: Milan Pokorný (Praha) MSC: 35Q30 76D07 47A60 47F05 47A10 PDFBibTeX XMLCite \textit{H. Abels} and \textit{Y. Terasawa}, Math. Ann. 344, No. 2, 381--429 (2009; Zbl 1172.35050) Full Text: DOI