Jiu, Quansen; Liu, Jitao; Niu, Dongjuan Global existence of weak solutions to the incompressible axisymmetric Euler equations without swirl. (English) Zbl 1462.35271 J. Nonlinear Sci. 31, No. 2, Paper No. 36, 24 p. (2021). MSC: 35Q31 76B03 76B47 35D30 35B07 35B65 PDF BibTeX XML Cite \textit{Q. Jiu} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 36, 24 p. (2021; Zbl 1462.35271) Full Text: DOI arXiv OpenURL
Jiu, Quansen; Niu, Dongjuan; Titi, Edriss S.; Xin, Zhouping Axisymmetric \(3D\) Euler-\(\alpha\) equations without swirl: existence, uniqueness, and Radon measure valued solutions. (English) Zbl 1454.76033 Pure Appl. Funct. Anal. 4, No. 3, 573-588 (2019). MSC: 76B47 35Q30 PDF BibTeX XML Cite \textit{Q. Jiu} et al., Pure Appl. Funct. Anal. 4, No. 3, 573--588 (2019; Zbl 1454.76033) Full Text: arXiv Link OpenURL
Yu, Huan; Zheng, Xiaoxin; Jiu, Quansen Remarks on well-posedness of the generalized surface quasi-geostrophic equation. (English) Zbl 1410.35148 Arch. Ration. Mech. Anal. 232, No. 1, 265-301 (2019). MSC: 35Q35 35Q31 76B45 35Q86 86A05 PDF BibTeX XML Cite \textit{H. Yu} et al., Arch. Ration. Mech. Anal. 232, No. 1, 265--301 (2019; Zbl 1410.35148) Full Text: DOI arXiv OpenURL
Jiu, Quansen; Lopes Filho, Milton C.; Niu, Dongjuan; Nussenzveig Lopes, Helena J. The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry. (English) Zbl 1398.35148 Physica D 376-377, 238-246 (2018). MSC: 35Q30 35Q31 35D30 35B06 76D05 PDF BibTeX XML Cite \textit{Q. Jiu} et al., Physica D 376--377, 238--246 (2018; Zbl 1398.35148) Full Text: DOI arXiv OpenURL
Jiu, Quansen; Li, Jun; Niu, Dongjuan Global existence of weak solutions to the three-dimensional Euler equations with helical symmetry. (English) Zbl 1360.35158 J. Differ. Equations 262, No. 10, 5179-5205 (2017). MSC: 35Q31 65M70 35D30 35J47 35A01 76B03 PDF BibTeX XML Cite \textit{Q. Jiu} et al., J. Differ. Equations 262, No. 10, 5179--5205 (2017; Zbl 1360.35158) Full Text: DOI OpenURL
Jiu, Quansen; Wang, Yuexun; Xin, Zhouping Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities. (English) Zbl 1319.35194 J. Differ. Equations 259, No. 7, 2981-3003 (2015). MSC: 35Q35 35B65 35B44 35Q31 76N10 PDF BibTeX XML Cite \textit{Q. Jiu} et al., J. Differ. Equations 259, No. 7, 2981--3003 (2015; Zbl 1319.35194) Full Text: DOI arXiv OpenURL
Jiu, Quansen; Wu, Jiahong; Yang, Wanrong Viscous approximation and weak solutions of the 3D axisymmetric Euler equations. (English) Zbl 1307.35226 Math. Methods Appl. Sci. 38, No. 3, 548-558 (2015). MSC: 35Q35 76D03 PDF BibTeX XML Cite \textit{Q. Jiu} et al., Math. Methods Appl. Sci. 38, No. 3, 548--558 (2015; Zbl 1307.35226) Full Text: DOI OpenURL
Jiu, Quansen; Zheng, Xiaoxin Global well-posedness of the compressible Euler with damping in Besov spaces. (English) Zbl 1248.35154 Math. Methods Appl. Sci. 35, No. 13, 1570-1586 (2012). MSC: 35Q31 35B40 76B03 30H25 PDF BibTeX XML Cite \textit{Q. Jiu} and \textit{X. Zheng}, Math. Methods Appl. Sci. 35, No. 13, 1570--1586 (2012; Zbl 1248.35154) Full Text: DOI OpenURL
Jiu, Quansen; Xin, Zhouping On strong convergence to 3D steady vortex sheets. (English) Zbl 1146.35068 J. Differ. Equations 239, No. 2, 448-470 (2007). Reviewer: Iuliana Oprea (Fort Collins) MSC: 35Q05 76B03 PDF BibTeX XML Cite \textit{Q. Jiu} and \textit{Z. Xin}, J. Differ. Equations 239, No. 2, 448--470 (2007; Zbl 1146.35068) Full Text: DOI OpenURL
Jiu, Quansen; Xin, Zhouping On strong convergence to 3D axisymmetric vortex sheets. (English) Zbl 1092.35087 J. Differ. Equations 223, No. 1, 33-50 (2006). Reviewer: Valeriu Al. Sava (Iaşi) MSC: 35Q35 76B03 76B47 PDF BibTeX XML Cite \textit{Q. Jiu} and \textit{Z. Xin}, J. Differ. Equations 223, No. 1, 33--50 (2006; Zbl 1092.35087) Full Text: DOI OpenURL
Jiu, Quan Sen; Xin, Zhou Ping Viscous approximations and decay rate of maximal vorticity function for 3D axisymmetric Euler equations. (English) Zbl 1064.35145 Acta Math. Sin., Engl. Ser. 20, No. 3, 385-404 (2004). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q35 76B03 35Q05 PDF BibTeX XML Cite \textit{Q. S. Jiu} and \textit{Z. P. Xin}, Acta Math. Sin., Engl. Ser. 20, No. 3, 385--404 (2004; Zbl 1064.35145) Full Text: DOI OpenURL
Jiu, Quansen Existence of weak solutions of two-dimensional Euler equations with initial vorticity in Lorentz space \(L_{(2,1)}(\mathbb{R}^ 2)\). (English) Zbl 1034.35091 Northeast. Math. J. 16, No. 3, 291-298 (2000). MSC: 35Q30 35D05 76D17 PDF BibTeX XML Cite \textit{Q. Jiu}, Northeast. Math. J. 16, No. 3, 291--298 (2000; Zbl 1034.35091) OpenURL
Jiu, Quansen A remark on existence and uniqueness of two-dimensional Euler equations. (English) Zbl 1010.35080 Math. Appl. 12, No. 4, 126-130 (1999). MSC: 35Q05 35D05 35Q30 PDF BibTeX XML Cite \textit{Q. Jiu}, Math. Appl. 12, No. 4, 126--130 (1999; Zbl 1010.35080) OpenURL
Jiu, Quansen; Gu, Jinsheng Some estimates on \(2\)-D Euler equations. (English) Zbl 1054.35516 Adv. Math., Beijing 28, No. 1, 57-64 (1999). MSC: 35Q30 76B03 PDF BibTeX XML Cite \textit{Q. Jiu} and \textit{J. Gu}, Adv. Math., Beijing 28, No. 1, 57--64 (1999; Zbl 1054.35516) OpenURL
Jiu, Quansen Existence of weak solutions of a 3-D Euler equations with axial symmetry. (English) Zbl 0930.35123 Acta Math. Sci. (Engl. Ed.) 19, No. 1, 107-113 (1999). Reviewer: Georg V.Jaiani (Tbilisi) MSC: 35Q30 76B03 35D05 PDF BibTeX XML Cite \textit{Q. Jiu}, Acta Math. Sci. (Engl. Ed.) 19, No. 1, 107--113 (1999; Zbl 0930.35123) OpenURL