Chen, Qiong Lei; Hao, Xiao Nan; Li, Jing Yue Global Fujita-Kato’s type solutions and long-time behavior for the multidimensional chemotaxis model. (English) Zbl 07490403 Acta Math. Sin., Engl. Ser. 38, No. 2, 311-330 (2022). MSC: 35Q92 35G55 35M31 92C17 PDF BibTeX XML Cite \textit{Q. L. Chen} et al., Acta Math. Sin., Engl. Ser. 38, No. 2, 311--330 (2022; Zbl 07490403) Full Text: DOI OpenURL
Chen, Qionglei; Hao, Xiaonan Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation. (English) Zbl 1483.35004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112746, 19 p. (2022). MSC: 35A01 35A02 35K51 35K59 35Q35 92C17 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{X. Hao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112746, 19 p. (2022; Zbl 1483.35004) Full Text: DOI OpenURL
Nguyen, Huy Q. Global solutions for the Muskat problem in the scaling invariant Besov space \(\dot{B}_{\infty , 1}^1\). (English) Zbl 1480.35412 Adv. Math. 394, Article ID 108122, 28 p. (2022). MSC: 35R35 35K59 35Q35 35A01 35A02 PDF BibTeX XML Cite \textit{H. Q. Nguyen}, Adv. Math. 394, Article ID 108122, 28 p. (2022; Zbl 1480.35412) Full Text: DOI arXiv OpenURL
Lai, Baishun; Miao, Changxing; Zheng, Xiaoxin Global regularity of weak solutions to the generalized Leray equations and its applications. (English) Zbl 1479.35622 Trans. Am. Math. Soc. 374, No. 10, 7449-7497 (2021). MSC: 35Q30 35B40 76D05 76D07 35B65 35D30 35C06 26A33 35R11 PDF BibTeX XML Cite \textit{B. Lai} et al., Trans. Am. Math. Soc. 374, No. 10, 7449--7497 (2021; Zbl 1479.35622) Full Text: DOI arXiv OpenURL
Wu, Di Blow-up criterion and examples of global solutions of forced Navier-Stokes equations. (English) Zbl 1460.35267 Acta Appl. Math. 170, 99-122 (2020). MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{D. Wu}, Acta Appl. Math. 170, 99--122 (2020; Zbl 1460.35267) Full Text: DOI arXiv OpenURL
Zhai, Xiaoping Global wellposedness and large time behavior of solutions to the Hall-magnetohydrodynamics equations. (English) Zbl 1462.35256 Z. Anal. Anwend. 39, No. 4, 395-419 (2020). MSC: 35Q30 35B40 35B65 76W05 81V70 35A01 35A02 PDF BibTeX XML Cite \textit{X. Zhai}, Z. Anal. Anwend. 39, No. 4, 395--419 (2020; Zbl 1462.35256) Full Text: DOI OpenURL
Du, Lihuai; Zhang, Ting Local and global strong solutions to the stochastic incompressible Navier-Stokes equations in critical Besov space. (English) Zbl 1428.35283 J. Math. Anal. Appl. 481, No. 1, Article ID 123472, 16 p. (2020). MSC: 35Q30 35D35 35R60 76D05 PDF BibTeX XML Cite \textit{L. Du} and \textit{T. Zhang}, J. Math. Anal. Appl. 481, No. 1, Article ID 123472, 16 p. (2020; Zbl 1428.35283) Full Text: DOI arXiv OpenURL
Sun, Jinyi; Cui, Shangbin Sharp well-posedness and ill-posedness of the three-dimensional primitive equations of geophysics in Fourier-Besov spaces. (English) Zbl 1453.35152 Nonlinear Anal., Real World Appl. 48, 445-465 (2019). MSC: 35Q35 35Q86 35B30 35R25 76U05 86A05 86A10 PDF BibTeX XML Cite \textit{J. Sun} and \textit{S. Cui}, Nonlinear Anal., Real World Appl. 48, 445--465 (2019; Zbl 1453.35152) Full Text: DOI OpenURL
Lai, Baishun; Miao, Changxing; Zheng, Xiaoxin Forward self-similar solutions of the fractional Navier-Stokes equations. (English) Zbl 1420.35192 Adv. Math. 352, 981-1043 (2019). MSC: 35Q30 35B40 76D05 35R11 35B44 35C06 35B65 PDF BibTeX XML Cite \textit{B. Lai} et al., Adv. Math. 352, 981--1043 (2019; Zbl 1420.35192) Full Text: DOI arXiv OpenURL
Paicu, Marius; Zhang, Ping Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction. (English) Zbl 1431.35107 Sci. China, Math. 62, No. 6, 1175-1204 (2019). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D03 42B25 35D35 PDF BibTeX XML Cite \textit{M. Paicu} and \textit{P. Zhang}, Sci. China, Math. 62, No. 6, 1175--1204 (2019; Zbl 1431.35107) Full Text: DOI arXiv OpenURL
Pan, Xinghong; Zhu, Lu The combined quasineutral and low Mach number limit of the Navier-Stokes-Poisson system. (English) Zbl 1407.35164 Z. Angew. Math. Phys. 70, No. 1, Paper No. 29, 21 p. (2019). MSC: 35Q35 76W05 PDF BibTeX XML Cite \textit{X. Pan} and \textit{L. Zhu}, Z. Angew. Math. Phys. 70, No. 1, Paper No. 29, 21 p. (2019; Zbl 1407.35164) Full Text: DOI OpenURL
Zhang, Jianlin; Qin, Yuming Exact solutions for the Cauchy problem to the 3D spherically symmetric incompressible Navier-Stokes equations. (English) Zbl 1438.35313 Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 778-790 (2018). MSC: 35Q30 35Q35 35D35 76N10 76N15 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Y. Qin}, Acta Math. Sci., Ser. B, Engl. Ed. 38, No. 3, 778--790 (2018; Zbl 1438.35313) Full Text: DOI OpenURL
Ngo, Van-Sang; Scrobogna, Stefano Dispersive effects of weakly compressible and fast rotating inviscid fluids. (English) Zbl 1379.35227 Discrete Contin. Dyn. Syst. 38, No. 2, 749-789 (2018). MSC: 35Q31 35A01 35A02 76N10 76U05 35D35 86A05 35B45 35Q86 PDF BibTeX XML Cite \textit{V.-S. Ngo} and \textit{S. Scrobogna}, Discrete Contin. Dyn. Syst. 38, No. 2, 749--789 (2018; Zbl 1379.35227) Full Text: DOI arXiv OpenURL
Farwig, Reinhard Jean Leray: Sur le mouvement d’un liquide visqueux emplissant l’espace. Acta Math. 63 (1934), 193–248. (English) Zbl 1373.76004 Jahresber. Dtsch. Math.-Ver. 119, No. 4, 249-272 (2017). MSC: 76-03 76D05 01A70 PDF BibTeX XML Cite \textit{R. Farwig}, Jahresber. Dtsch. Math.-Ver. 119, No. 4, 249--272 (2017; Zbl 1373.76004) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{T. H. Nguyen} et al., J. Differ. Equations 263, No. 12, 8979--9002 (2017; Zbl 1378.35223) Full Text: DOI OpenURL
Peng, Weimin; Zhou, Yi Global well-posedness of incompressible Navier-Stokes equations with two slow variables. (English) Zbl 1366.35115 Chin. Ann. Math., Ser. B 38, No. 3, 787-794 (2017). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{W. Peng} and \textit{Y. Zhou}, Chin. Ann. Math., Ser. B 38, No. 3, 787--794 (2017; Zbl 1366.35115) Full Text: DOI OpenURL
Jia, Junxiong; Peng, Jigen; Gao, Jinghuai Well-posedness for compressible MHD systems with highly oscillating initial data. (English) Zbl 1346.76209 J. Math. Phys. 57, No. 8, 081514, 38 p. (2016). MSC: 76W05 76N10 49K40 30H25 PDF BibTeX XML Cite \textit{J. Jia} et al., J. Math. Phys. 57, No. 8, 081514, 38 p. (2016; Zbl 1346.76209) Full Text: DOI arXiv OpenURL
Peng, Weimin; Zhou, Yi Global well-posedness of axisymmetric Navier-Stokes equations with one slow variable. (English) Zbl 1333.35163 Discrete Contin. Dyn. Syst. 36, No. 7, 3845-3856 (2016). MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{W. Peng} and \textit{Y. Zhou}, Discrete Contin. Dyn. Syst. 36, No. 7, 3845--3856 (2016; Zbl 1333.35163) Full Text: DOI OpenURL
Dong, Bo-Qing; Jia, Yan Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations. (English) Zbl 1342.35214 Nonlinear Anal., Real World Appl. 30, 41-58 (2016). MSC: 35Q30 35B35 35D30 76D05 PDF BibTeX XML Cite \textit{B.-Q. Dong} and \textit{Y. Jia}, Nonlinear Anal., Real World Appl. 30, 41--58 (2016; Zbl 1342.35214) Full Text: DOI OpenURL
Youssfi, Abdellah Schrödinger group and function spaces. (English) Zbl 1353.46029 J. Math. Anal. Appl. 433, No. 1, 578-586 (2016). MSC: 46E35 47D08 PDF BibTeX XML Cite \textit{A. Youssfi}, J. Math. Anal. Appl. 433, No. 1, 578--586 (2016; Zbl 1353.46029) Full Text: DOI OpenURL
Zhao, Jihong; Zhang, Ting; Liu, Qiao Global well-posedness for the dissipative system modeling electro-hydrodynamics with large vertical velocity component in critical Besov space. (English) Zbl 1304.35585 Discrete Contin. Dyn. Syst. 35, No. 1, 555-582 (2015). MSC: 35Q35 35K15 35K55 76A05 76W05 78A35 35Q82 PDF BibTeX XML Cite \textit{J. Zhao} et al., Discrete Contin. Dyn. Syst. 35, No. 1, 555--582 (2015; Zbl 1304.35585) Full Text: DOI OpenURL
Tsai, Tai-Peng Forward discretely self-similar solutions of the Navier-Stokes equations. (English) Zbl 1293.35218 Commun. Math. Phys. 328, No. 1, 29-44 (2014). MSC: 35Q30 76D05 76D07 35B45 35C06 PDF BibTeX XML Cite \textit{T.-P. Tsai}, Commun. Math. Phys. 328, No. 1, 29--44 (2014; Zbl 1293.35218) Full Text: DOI arXiv OpenURL
Dong, Bo-Qing; Zhang, Zhifei On the weak-strong uniqueness of Koch-Tataru’s solution for the Navier-Stokes equations. (English) Zbl 1285.35064 J. Differ. Equations 256, No. 7, 2406-2422 (2014). MSC: 35Q30 35D30 35D35 76D05 76D03 PDF BibTeX XML Cite \textit{B.-Q. Dong} and \textit{Z. Zhang}, J. Differ. Equations 256, No. 7, 2406--2422 (2014; Zbl 1285.35064) Full Text: DOI OpenURL
Kukavica, Igor; Rusin, Walter; Ziane, Mohammed A class of solutions of the Navier-Stokes equations with large data. (English) Zbl 1290.35186 J. Differ. Equations 255, No. 7, 1492-1514 (2013). Reviewer: Il’ya Sh. Mogilevskii (Tver’) MSC: 35Q30 35K15 35A01 35B65 PDF BibTeX XML Cite \textit{I. Kukavica} et al., J. Differ. Equations 255, No. 7, 1492--1514 (2013; Zbl 1290.35186) Full Text: DOI OpenURL
Haspot, Boris Well-posedness for density-dependent incompressible fluids with non-Lipschitz velocity. (English. French summary) Zbl 1383.35160 Ann. Inst. Fourier 62, No. 5, 1717-1763 (2012). MSC: 35Q35 76D03 76D05 35B30 PDF BibTeX XML Cite \textit{B. Haspot}, Ann. Inst. Fourier 62, No. 5, 1717--1763 (2012; Zbl 1383.35160) Full Text: DOI arXiv Link OpenURL
Chemin, Jean-Yves About weak-strong uniqueness for the 3D incompressible Navier-Stokes system. (English) Zbl 1231.35142 Commun. Pure Appl. Math. 64, No. 12, 1587-1598 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D05 PDF BibTeX XML Cite \textit{J.-Y. Chemin}, Commun. Pure Appl. Math. 64, No. 12, 1587--1598 (2011; Zbl 1231.35142) Full Text: DOI OpenURL
Chemin, Jean-Yves; Gallagher, Isabelle; Paicu, Marius Global regularity for some classes of large solutions to the Navier-Stokes equations. (English) Zbl 1229.35168 Ann. Math. (2) 173, No. 2, 983-1012 (2011). MSC: 35Q30 76D03 76D05 35B44 PDF BibTeX XML Cite \textit{J.-Y. Chemin} et al., Ann. Math. (2) 173, No. 2, 983--1012 (2011; Zbl 1229.35168) Full Text: DOI arXiv OpenURL
Zhang, Ting; Fang, Daoyuan Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations. (English) Zbl 1222.35146 Proc. Am. Math. Soc. 139, No. 8, 2827-2837 (2011). MSC: 35Q30 76D05 35A01 35A02 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{D. Fang}, Proc. Am. Math. Soc. 139, No. 8, 2827--2837 (2011; Zbl 1222.35146) Full Text: DOI OpenURL
Chemin, Jean-Yves; Gallagher, Isabelle Large, global solutions to the Navier-Stokes equations, slowly varying in one direction. (English) Zbl 1189.35220 Trans. Am. Math. Soc. 362, No. 6, 2859-2873 (2010). MSC: 35Q30 76D05 76D03 PDF BibTeX XML Cite \textit{J.-Y. Chemin} and \textit{I. Gallagher}, Trans. Am. Math. Soc. 362, No. 6, 2859--2873 (2010; Zbl 1189.35220) Full Text: DOI arXiv OpenURL
Gallagher, Isabelle; Paicu, Marius Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations. (English) Zbl 1162.76016 Proc. Am. Math. Soc. 137, No. 6, 2075-2083 (2009). MSC: 76D03 35Q30 PDF BibTeX XML Cite \textit{I. Gallagher} and \textit{M. Paicu}, Proc. Am. Math. Soc. 137, No. 6, 2075--2083 (2009; Zbl 1162.76016) Full Text: DOI arXiv OpenURL
Abidi, Hammadi Regularity results of axisymmetric solutions for the Navier-Stokes system. (Résultats de régularité de solutions axisymétriques pour le système de Navier-Stokes.) (French) Zbl 1159.35052 Bull. Sci. Math. 132, No. 7, 592-624 (2008). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 35B65 76D03 PDF BibTeX XML Cite \textit{H. Abidi}, Bull. Sci. Math. 132, No. 7, 592--624 (2008; Zbl 1159.35052) Full Text: DOI OpenURL
Abidi, Hammadi; Paicu, Marius Global existence for an inhomogeneous fluid. (Existence globale pour un fluide inhomogène.) (French. English summary) Zbl 1122.35091 Ann. Inst. Fourier 57, No. 3, 883-917 (2007). MSC: 35Q30 76D03 76D05 35B30 42B25 PDF BibTeX XML Cite \textit{H. Abidi} and \textit{M. Paicu}, Ann. Inst. Fourier 57, No. 3, 883--917 (2007; Zbl 1122.35091) Full Text: DOI Numdam EuDML OpenURL
Chemin, Jean-Yves; Gallagher, Isabelle On the global wellposedness of the 3-D Navier–Stokes equations with large initial data. (English) Zbl 1124.35052 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 679-698 (2006). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 42B25 76D03 PDF BibTeX XML Cite \textit{J.-Y. Chemin} and \textit{I. Gallagher}, Ann. Sci. Éc. Norm. Supér. (4) 39, No. 4, 679--698 (2006; Zbl 1124.35052) Full Text: DOI arXiv Numdam EuDML OpenURL