Wang, Chao; Wang, Yuxi; Zhang, Ping On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class. (English) Zbl 07811951 Adv. Math. 440, Article ID 109517, 69 p. (2024). MSC: 35Q35 76D10 42B25 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{C. Wang} et al., Adv. Math. 440, Article ID 109517, 69 p. (2024; Zbl 07811951) Full Text: DOI arXiv
Liu, Yanlin; Zhang, Ping On the global stability of large Fourier mode for 3-D Navier-Stokes equations. (English) Zbl 07801741 Adv. Math. 438, Article ID 109475, 67 p. (2024). MSC: 35Q30 76D03 76D05 35D35 35B45 35B07 42A32 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, Adv. Math. 438, Article ID 109475, 67 p. (2024; Zbl 07801741) Full Text: DOI arXiv
Zhang, Ping; Zhang, Yibin Quasi-neutral limit of Nernst-Planck-Navier-Stokes system. arXiv:2401.16680 Preprint, arXiv:2401.16680 [math.AP] (2024). MSC: 82C21 82D15 35Q92 BibTeX Cite \textit{P. Zhang} and \textit{Y. Zhang}, ``Quasi-neutral limit of Nernst-Planck-Navier-Stokes system'', Preprint, arXiv:2401.16680 [math.AP] (2024) Full Text: arXiv OA License
Li, Wei-Xi; Yang, Tong; Zhang, Ping Gevrey well-posedness of quasi-linear hyperbolic Prandtl equations. (English) Zbl 07816840 Commun. Math. Anal. Appl. 2, No. 4, 388-420 (2023). MSC: 76D10 76D03 35L80 35L72 35Q30 PDFBibTeX XMLCite \textit{W.-X. Li} et al., Commun. Math. Anal. Appl. 2, No. 4, 388--420 (2023; Zbl 07816840) Full Text: DOI arXiv
Li, Wei-Xi; Paicu, Marius; Zhang, Ping Gevrey solutions of quasi-linear hyperbolic hydrostatic Navier-Stokes system. (English) Zbl 1527.35214 SIAM J. Math. Anal. 55, No. 6, 6194-6228 (2023). MSC: 35Q30 76D03 35A01 35A02 35L72 35R07 PDFBibTeX XMLCite \textit{W.-X. Li} et al., SIAM J. Math. Anal. 55, No. 6, 6194--6228 (2023; Zbl 1527.35214) Full Text: DOI
Lu, Yong; Zhang, Ping Global solutions of \(2D\) isentropic compressible Navier-Stokes equations with one slow variable. (English) Zbl 1527.35215 J. Differ. Equations 376, 406-468 (2023). MSC: 35Q30 76N10 76D03 35B65 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{P. Zhang}, J. Differ. Equations 376, 406--468 (2023; Zbl 1527.35215) Full Text: DOI arXiv
He, Ling-Bing; Xu, Li; Zhang, Ping Global strong solutions of 3D compressible Navier-Stokes equations with short pulse type initial data. (English) Zbl 1522.35407 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 226, 49 p. (2023). MSC: 35Q35 35Q76 76N10 76L05 76N30 83C57 83C05 35B40 35B65 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{L.-B. He} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 226, 49 p. (2023; Zbl 1522.35407) Full Text: DOI arXiv
Zhang, Ping On the instantaneous radius of analyticity of \(L^p\) solutions to 3D Navier-Stokes system. (English) Zbl 1517.35164 Math. Z. 304, No. 3, Paper No. 38, 32 p. (2023). MSC: 35Q30 76D03 76D05 42B25 35A20 35B65 PDFBibTeX XMLCite \textit{P. Zhang}, Math. Z. 304, No. 3, Paper No. 38, 32 p. (2023; Zbl 1517.35164) Full Text: DOI
Coron, Jean-Michel; Xiang, Shengquan; Zhang, Ping On the global approximate controllability in small time of semiclassical 1-D Schrödinger equations between two states with positive quantum densities. (English) Zbl 1504.35469 J. Differ. Equations 345, 1-44 (2023). MSC: 35Q55 35Q41 35Q31 35C20 93B05 93C20 PDFBibTeX XMLCite \textit{J.-M. Coron} et al., J. Differ. Equations 345, 1--44 (2023; Zbl 1504.35469) Full Text: DOI arXiv
Abidi, Hammadi; Gui, Guilong; Zhang, Ping On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces. arXiv:2312.03990 Preprint, arXiv:2312.03990 [math.AP] (2023). MSC: 35Q30 76D03 BibTeX Cite \textit{H. Abidi} et al., ``On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces'', Preprint, arXiv:2312.03990 [math.AP] (2023) Full Text: arXiv OA License
Liu, Yanlin; Zhang, Ping On the one time-varying component regularity criteria for 3-D Navier-Stokes equations. arXiv:2312.03153 Preprint, arXiv:2312.03153 [math.AP] (2023). MSC: 35Q30 76D03 BibTeX Cite \textit{Y. Liu} and \textit{P. Zhang}, ``On the one time-varying component regularity criteria for 3-D Navier-Stokes equations'', Preprint, arXiv:2312.03153 [math.AP] (2023) Full Text: arXiv OA License
Hu, Ruilin; Zhang, Ping On the radius of analyticity of solutions to 3D Navier-Stokes system with initial data in \(L^p\). (English) Zbl 1502.35082 Chin. Ann. Math., Ser. B 43, No. 5, 749-772 (2022). MSC: 35Q30 76D05 76D03 42B25 35A20 35D35 35B65 PDFBibTeX XMLCite \textit{R. Hu} and \textit{P. Zhang}, Chin. Ann. Math., Ser. B 43, No. 5, 749--772 (2022; Zbl 1502.35082) Full Text: DOI
Xu, Li; Zhang, Ping Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations. (English) Zbl 1495.35144 J. Differ. Equations 335, 464-496 (2022). MSC: 35Q30 76D03 76D05 42B25 35B65 PDFBibTeX XMLCite \textit{L. Xu} and \textit{P. Zhang}, J. Differ. Equations 335, 464--496 (2022; Zbl 1495.35144) Full Text: DOI arXiv
Liao, Jiajiang; Sueur, Franck; Zhang, Ping Global controllability of the Navier-Stokes equations in the presence of curved boundary with no-slip conditions. (English) Zbl 1491.93017 J. Math. Fluid Mech. 24, No. 3, Paper No. 71, 32 p. (2022). MSC: 93B05 93C20 35Q30 PDFBibTeX XMLCite \textit{J. Liao} et al., J. Math. Fluid Mech. 24, No. 3, Paper No. 71, 32 p. (2022; Zbl 1491.93017) Full Text: DOI
Paicu, Marius; Zhang, Ping Global hydrostatic approximation of the hyperbolic Navier-Stokes system with small Gevrey class 2 data. (English) Zbl 1491.35317 Sci. China, Math. 65, No. 6, 1109-1146 (2022). MSC: 35Q30 76D03 76D05 76D10 35L10 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Sci. China, Math. 65, No. 6, 1109--1146 (2022; Zbl 1491.35317) Full Text: DOI arXiv
Gui, Guilong; Zhang, Ping Semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition. (English) Zbl 1484.35325 SIAM J. Math. Anal. 54, No. 1, 1053-1104 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q55 35Q31 76N10 35B40 35B65 PDFBibTeX XMLCite \textit{G. Gui} and \textit{P. Zhang}, SIAM J. Math. Anal. 54, No. 1, 1053--1104 (2022; Zbl 1484.35325) Full Text: DOI arXiv
Deng, Wen; Paicu, Marius; Zhang, Ping Remarks on the decay of Fourier coefficients to solutions of Navier-Stokes system. (English) Zbl 1482.35152 Proc. Am. Math. Soc. 150, No. 3, 1223-1234 (2022). MSC: 35Q30 76D05 35K55 PDFBibTeX XMLCite \textit{W. Deng} et al., Proc. Am. Math. Soc. 150, No. 3, 1223--1234 (2022; Zbl 1482.35152) Full Text: DOI
Liao, Jiajiang; Sueur, Franck; Zhang, Ping Smooth controllability of the Navier-Stokes equation with Navier conditions: application to Lagrangian controllability. (English) Zbl 1507.35140 Arch. Ration. Mech. Anal. 243, No. 2, 869-941 (2022). MSC: 35Q30 35Q31 76D05 76D07 76D55 76B75 93B05 93C20 35B65 35D30 PDFBibTeX XMLCite \textit{J. Liao} et al., Arch. Ration. Mech. Anal. 243, No. 2, 869--941 (2022; Zbl 1507.35140) Full Text: DOI arXiv
Shao, Ruijie; Zhang, Ping On the instability of the possible blow-up solutions to 2D Boussinesq system. (English) Zbl 1477.35136 J. Differ. Equations 306, 547-568 (2022). MSC: 35Q30 35B30 35B44 76D03 PDFBibTeX XMLCite \textit{R. Shao} and \textit{P. Zhang}, J. Differ. Equations 306, 547--568 (2022; Zbl 1477.35136) Full Text: DOI
Qian, Chenyin; Zhang, Ping Global well-posedness of 3D incompressible inhomogeneous Navier-Stokes equations. (English) Zbl 1510.35213 Methods Appl. Anal. 28, No. 4, 507-546 (2021). MSC: 35Q30 76D03 76D05 42B25 35A01 35A02 PDFBibTeX XMLCite \textit{C. Qian} and \textit{P. Zhang}, Methods Appl. Anal. 28, No. 4, 507--546 (2021; Zbl 1510.35213) Full Text: DOI
Liu, Yanlin; Zhang, Ping Remark on 3-D Navier-Stokes system with strong dissipation in one direction. (English) Zbl 1500.35225 Commun. Pure Appl. Anal. 20, No. 7-8, 2765-2787 (2021). MSC: 35Q30 76D03 35A01 35A02 35D35 42B25 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, Commun. Pure Appl. Anal. 20, No. 7--8, 2765--2787 (2021; Zbl 1500.35225) Full Text: DOI
Deng, Wen; Wu, Jiahong; Zhang, Ping Stability of Couette flow for 2D Boussinesq system with vertical dissipation. (English) Zbl 1479.35606 J. Funct. Anal. 281, No. 12, Article ID 109255, 40 p. (2021). MSC: 35Q30 35Q35 76D03 76D05 76R10 86A05 35B35 35B20 35B65 PDFBibTeX XMLCite \textit{W. Deng} et al., J. Funct. Anal. 281, No. 12, Article ID 109255, 40 p. (2021; Zbl 1479.35606) Full Text: DOI arXiv
Paicu, Marius; Zhang, Ping Global existence and the decay of solutions to the Prandtl system with small analytic data. (English) Zbl 1472.35307 Arch. Ration. Mech. Anal. 241, No. 1, 403-446 (2021). MSC: 35Q35 76D10 35A01 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Arch. Ration. Mech. Anal. 241, No. 1, 403--446 (2021; Zbl 1472.35307) Full Text: DOI arXiv
Liu, Ning; Zhang, Ping Global small analytic solutions of MHD boundary layer equations. (English) Zbl 1461.35183 J. Differ. Equations 281, 199-257 (2021). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 76D03 76D10 76W05 42B25 35M13 35A01 35B45 PDFBibTeX XMLCite \textit{N. Liu} and \textit{P. Zhang}, J. Differ. Equations 281, 199--257 (2021; Zbl 1461.35183) Full Text: DOI arXiv
Liang, Siyu; Zhang, Ping; Zhu, Rongchan Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity. (English) Zbl 1455.35174 J. Differ. Equations 275, 473-508 (2021). MSC: 35Q30 76D05 35A01 35A02 35D35 35R60 PDFBibTeX XMLCite \textit{S. Liang} et al., J. Differ. Equations 275, 473--508 (2021; Zbl 1455.35174) Full Text: DOI arXiv
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping On the radius of analyticity of solutions to semi-linear parabolic systems. (English) Zbl 1459.35234 Math. Res. Lett. 27, No. 6, 1631-1643 (2020). MSC: 35K45 35K58 35R09 35D35 35Q30 PDFBibTeX XMLCite \textit{J.-Y. Chemin} et al., Math. Res. Lett. 27, No. 6, 1631--1643 (2020; Zbl 1459.35234) Full Text: DOI arXiv
Liang, Siyu; Zhang, Ping; Zhu, Rongchan Remark on the lifespan of solutions to 3-D anisotropic Navier-Stokes equations. (English) Zbl 1463.35404 Commun. Math. Res. 36, No. 1, 31-50 (2020). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{S. Liang} et al., Commun. Math. Res. 36, No. 1, 31--50 (2020; Zbl 1463.35404) Full Text: DOI
Liu, Yanlin; Zhang, Ping Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient. (English) Zbl 1447.35249 J. Funct. Anal. 279, No. 10, Article ID 108736, 33 p. (2020). MSC: 35Q30 76D05 42B25 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, J. Funct. Anal. 279, No. 10, Article ID 108736, 33 p. (2020; Zbl 1447.35249) Full Text: DOI arXiv
Liu, Yanlin; Paicu, Marius; Zhang, Ping Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative. (English) Zbl 1446.35103 Arch. Ration. Mech. Anal. 238, No. 2, 805-843 (2020). MSC: 35Q30 35A20 35A01 35A02 76B03 PDFBibTeX XMLCite \textit{Y. Liu} et al., Arch. Ration. Mech. Anal. 238, No. 2, 805--843 (2020; Zbl 1446.35103) Full Text: DOI arXiv
Paicu, Marius; Zhang, Ping; Zhang, Zhifei On the hydrostatic approximation of the Navier-Stokes equations in a thin strip. (English) Zbl 1446.35105 Adv. Math. 372, Article ID 107293, 41 p. (2020). MSC: 35Q30 76D03 35A01 35A02 PDFBibTeX XMLCite \textit{M. Paicu} et al., Adv. Math. 372, Article ID 107293, 41 p. (2020; Zbl 1446.35105) Full Text: DOI arXiv
Paicu, Marius; Zhang, Ping Striated regularity of 2-d inhomogeneous incompressible Navier-Stokes system with variable viscosity. (English) Zbl 1439.35375 Commun. Math. Phys. 376, No. 1, 385-439 (2020). MSC: 35Q30 76D05 76T30 35B65 35D35 35A01 35A02 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Commun. Math. Phys. 376, No. 1, 385--439 (2020; Zbl 1439.35375) Full Text: DOI arXiv
Liao, Jiajiang; Sueur, Franck; Zhang, Ping Zero-viscosity limit of the incompressible Navier-Stokes equations with sharp vorticity gradient. (English) Zbl 1439.35371 J. Differ. Equations 268, No. 10, 5855-5891 (2020). MSC: 35Q30 76D05 76D17 35C20 35D40 35Q31 35D35 PDFBibTeX XMLCite \textit{J. Liao} et al., J. Differ. Equations 268, No. 10, 5855--5891 (2020; Zbl 1439.35371) Full Text: DOI
Liu, Yanlin; Zhang, Ping Global solutions of 3-d Navier-Stokes system with small unidirectional derivative. (English) Zbl 1435.35280 Arch. Ration. Mech. Anal. 235, No. 2, 1405-1444 (2020). Reviewer: Emmanuel Grenier (Lyon) MSC: 35Q30 35A01 76D05 76D03 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, Arch. Ration. Mech. Anal. 235, No. 2, 1405--1444 (2020; Zbl 1435.35280) Full Text: DOI arXiv
Zhang, Ping Global Fujita-Kato solution of 3-d inhomogeneous incompressible Navier-Stokes system. (English) Zbl 1434.35071 Adv. Math. 363, Article ID 107007, 43 p. (2020). MSC: 35Q30 76D03 35D30 76D05 35B65 PDFBibTeX XMLCite \textit{P. Zhang}, Adv. Math. 363, Article ID 107007, 43 p. (2020; Zbl 1434.35071) Full Text: DOI arXiv
Farwig, Reinhard; Qian, Chenyin; Zhang, Ping Incompressible inhomogeneous fluids in bounded domains of \(\mathbb{R}^3\) with bounded density. (English) Zbl 1433.35222 J. Funct. Anal. 278, No. 5, Article ID 108394, 36 p. (2020). MSC: 35Q30 35Q35 76D03 76D05 76D07 35D30 35B65 PDFBibTeX XMLCite \textit{R. Farwig} et al., J. Funct. Anal. 278, No. 5, Article ID 108394, 36 p. (2020; Zbl 1433.35222) Full Text: DOI
Liu, Yanlin; Zhang, Ping Critical one component anisotropic regularity for 3-D Navier-Stokes system. (Chinese. English summary) Zbl 1499.35478 Sci. Sin., Math. 49, No. 10, 1405-1430 (2019). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, Sci. Sin., Math. 49, No. 10, 1405--1430 (2019; Zbl 1499.35478) Full Text: DOI arXiv
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force. (English) Zbl 1439.35367 Ann. PDE 5, No. 2, Paper No. 17, 49 p. (2019). MSC: 35Q30 76D05 76D10 93B05 93C20 PDFBibTeX XMLCite \textit{J.-M. Coron} et al., Ann. PDE 5, No. 2, Paper No. 17, 49 p. (2019; Zbl 1439.35367) Full Text: DOI arXiv
Ri, Myong-Hwan; Zhang, Ping Existence of incompressible and immiscible flows in critical function spaces on bounded domains. (English) Zbl 1427.35186 J. Math. Fluid Mech. 21, No. 4, Paper No. 57, 30 p. (2019). MSC: 35Q30 35B35 76D03 76D07 76E99 35A01 35A02 PDFBibTeX XMLCite \textit{M.-H. Ri} and \textit{P. Zhang}, J. Math. Fluid Mech. 21, No. 4, Paper No. 57, 30 p. (2019; Zbl 1427.35186) Full Text: DOI arXiv
Abidi, Hammadi; Zhang, Ping On the global well-posedness of 3-D Boussinesq system with variable viscosity. (English) Zbl 1427.35173 Chin. Ann. Math., Ser. B 40, No. 5, 643-688 (2019). MSC: 35Q30 76D03 42B25 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, Chin. Ann. Math., Ser. B 40, No. 5, 643--688 (2019; Zbl 1427.35173) Full Text: DOI
Liao, Xian; Zhang, Ping Global regularities of 2-D density patches for inhomogeneous incompressible viscous flow. (English) Zbl 1436.35275 Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume I. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 43, 373-394 (2019). MSC: 35Q30 76D03 76D05 42B25 PDFBibTeX XMLCite \textit{X. Liao} and \textit{P. Zhang}, Adv. Lect. Math. (ALM) 43, 373--394 (2019; Zbl 1436.35275)
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping Some remarks about the possible blow-up for the Navier-Stokes equations. (English) Zbl 1428.35277 Commun. Partial Differ. Equations 44, No. 12, 1387-1405 (2019). MSC: 35Q30 76D03 76D05 35B44 42B25 93C20 PDFBibTeX XMLCite \textit{J.-Y. Chemin} et al., Commun. Partial Differ. Equations 44, No. 12, 1387--1405 (2019; Zbl 1428.35277) Full Text: DOI arXiv
Liao, Xian; Zhang, Ping Global regularity of 2-D density patches for viscous inhomogeneous incompressible flow with general density: high regularity case. (English) Zbl 1438.76013 Anal. Theory Appl. 35, No. 2, 163-191 (2019). MSC: 76D03 76D05 35Q30 PDFBibTeX XMLCite \textit{X. Liao} and \textit{P. Zhang}, Anal. Theory Appl. 35, No. 2, 163--191 (2019; Zbl 1438.76013) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Sci. China, Math. 62, No. 6, 1175--1204 (2019; Zbl 1431.35107) Full Text: DOI arXiv
Liao, Xian; Zhang, Ping Global regularity of 2D density patches for viscous inhomogeneous incompressible flow with general density: low regularity case. (English) Zbl 1409.35166 Commun. Pure Appl. Math. 72, No. 4, 835-884 (2019). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{X. Liao} and \textit{P. Zhang}, Commun. Pure Appl. Math. 72, No. 4, 835--884 (2019; Zbl 1409.35166) Full Text: DOI
Coron, Jean-Michel; Marbach, Frédéric; Sueur, Franck; Zhang, Ping On the controllability of the Navier-Stokes equation in a rectangle, with a little help of a distributed phantom force. arXiv:1901.01525 Preprint, arXiv:1901.01525 [math.AP] (2019). MSC: 35Q30 93B05 93C20 BibTeX Cite \textit{J.-M. Coron} et al., ``On the controllability of the Navier-Stokes equation in a rectangle, with a little help of a distributed phantom force'', Preprint, arXiv:1901.01525 [math.AP] (2019) Full Text: arXiv OA License
Deng, Wen; Zhang, Ping Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. (English) Zbl 1414.35166 Arch. Ration. Mech. Anal. 230, No. 3, 1017-1102 (2018). MSC: 35Q35 76W05 35B40 PDFBibTeX XMLCite \textit{W. Deng} and \textit{P. Zhang}, Arch. Ration. Mech. Anal. 230, No. 3, 1017--1102 (2018; Zbl 1414.35166) Full Text: DOI arXiv
Chemin, Jean-Yves; Zhang, Ping Inhomogeneous incompressible viscous flows with slowly varying initial data. (English) Zbl 1406.35222 J. Inst. Math. Jussieu 17, No. 5, 1121-1172 (2018). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{J.-Y. Chemin} and \textit{P. Zhang}, J. Inst. Math. Jussieu 17, No. 5, 1121--1172 (2018; Zbl 1406.35222) Full Text: DOI arXiv
Deng, Wen; Zhang, Ping Asymptotic stability of equilibrium to 3-D MHD system. (English) Zbl 1405.35137 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, 85-103 (2018). MSC: 35Q30 76D03 76W05 35B35 35B40 42B25 PDFBibTeX XMLCite \textit{W. Deng} and \textit{P. Zhang}, Contemp. Math. 710, 85--103 (2018; Zbl 1405.35137) Full Text: DOI
Zhang, Ping; Zhang, Zhifei Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data. (English) Zbl 1392.35216 Rev. Mat. Iberoam. 34, No. 1, 355-395 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Z. Zhang}, Rev. Mat. Iberoam. 34, No. 1, 355--395 (2018; Zbl 1392.35216) Full Text: DOI
Liu, Yanlin; Zhang, Ping On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component. (English) Zbl 1384.35065 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 17, 31 p. (2018). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{P. Zhang}, Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 17, 31 p. (2018; Zbl 1384.35065) Full Text: DOI arXiv
Chemin, Jean-Yves (ed.); Lin, Fanghua (ed.); Zhang, Ping (ed.) Lectures on the analysis of nonlinear partial differential equations. Part 5. (English) Zbl 1385.35001 Morningside Lectures in Mathematics 5. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-357-9/pbk). 332 p. (2018). MSC: 35-06 46-06 35Q35 35Q30 35Q60 46E30 00B15 PDFBibTeX XMLCite \textit{J.-Y. Chemin} (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 5. Somerville, MA: International Press; Beijing: Higher Education Press (2018; Zbl 1385.35001)
Zhang, Ping On the global well-posedness of 2-D inhomogeneous Navier-Stokes system with variable viscosity. (English) Zbl 1381.35124 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 625-641 (2017). MSC: 35Q30 76D03 76D05 42B25 35B65 PDFBibTeX XMLCite \textit{P. Zhang}, Adv. Lect. Math. (ALM) 37, 625--641 (2017; Zbl 1381.35124)
Abidi, Hammadi; Zhang, Ping On the global solution of a 3-D MHD system with initial data near equilibrium. (English) Zbl 1372.35229 Commun. Pure Appl. Math. 70, No. 8, 1509-1561 (2017). MSC: 35Q35 76W05 35B65 35A01 42B25 35B40 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, Commun. Pure Appl. Math. 70, No. 8, 1509--1561 (2017; Zbl 1372.35229) Full Text: DOI arXiv
Chemin, Jean-Yves; Zhang, Ping; Zhang, Zhifei On the critical one component regularity for 3-D Navier-Stokes system: general case. (English) Zbl 1371.35193 Arch. Ration. Mech. Anal. 224, No. 3, 871-905 (2017). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 35B65 35B44 PDFBibTeX XMLCite \textit{J.-Y. Chemin} et al., Arch. Ration. Mech. Anal. 224, No. 3, 871--905 (2017; Zbl 1371.35193) Full Text: DOI arXiv
Abidi, Hammadi; Zhang, Ping On the global well-posedness of 2-D Boussinesq system with variable viscosity. (English) Zbl 1353.35220 Adv. Math. 305, 1202-1249 (2017). MSC: 35Q30 76D03 42B25 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, Adv. Math. 305, 1202--1249 (2017; Zbl 1353.35220) Full Text: DOI
Chemin, Jean-Yves; Zhang, Ping On the critical one component regularity for 3-D Navier-Stokes system. (English. French summary) Zbl 1342.35210 Ann. Sci. Éc. Norm. Supér. (4) 49, No. 1, 131-167 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76D05 35B44 PDFBibTeX XMLCite \textit{J.-Y. Chemin} and \textit{P. Zhang}, Ann. Sci. Éc. Norm. Supér. (4) 49, No. 1, 131--167 (2016; Zbl 1342.35210) Full Text: DOI arXiv Link
Liao, Xian; Zhang, Ping On the global regularity of the two-dimensional density patch for inhomogeneous incompressible viscous flow. (English) Zbl 1336.35276 Arch. Ration. Mech. Anal. 220, No. 3, 937-981 (2016). MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{X. Liao} and \textit{P. Zhang}, Arch. Ration. Mech. Anal. 220, No. 3, 937--981 (2016; Zbl 1336.35276) Full Text: DOI arXiv
Ri, Myong-Hwan; Zhang, Ping; Zhang, Zhifei Global well-posedness for Navier-Stokes equations with small initial value in \(B^{0}_{n,\infty}(\Omega)\). (English) Zbl 1334.35209 J. Math. Fluid Mech. 18, No. 1, 103-131 (2016). MSC: 35Q30 35B35 76D05 76D07 76E99 PDFBibTeX XMLCite \textit{M.-H. Ri} et al., J. Math. Fluid Mech. 18, No. 1, 103--131 (2016; Zbl 1334.35209) Full Text: DOI
Chemin, Jean-Yves (ed.); Lin, Fanghua (ed.); Zhang, Ping (ed.) Lectures on the analysis of nonlinear partial differential equations. Part 4. (English) Zbl 1342.35006 Morningside Lectures in Mathematics 4. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-317-3/pbk). iv, 395 p. (2016). MSC: 35-06 35Jxx 35Kxx 35Qxx 00B25 PDFBibTeX XMLCite \textit{J.-Y. Chemin} (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 4. Somerville, MA: International Press; Beijing: Higher Education Press (2016; Zbl 1342.35006)
Zhang, Ping; Zhang, Zhifei Long time well-posedness of Prandtl system with small and analytic initial data. (English) Zbl 1337.35113 J. Funct. Anal. 270, No. 7, 2591-2615 (2016). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q30 76D05 42B25 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Z. Zhang}, J. Funct. Anal. 270, No. 7, 2591--2615 (2016; Zbl 1337.35113) Full Text: DOI arXiv
Liao, Xiao; Zhang, Ping Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density. arXiv:1604.07922 Preprint, arXiv:1604.07922 [math.AP] (2016). MSC: 35Q30 76D03 BibTeX Cite \textit{X. Liao} and \textit{P. Zhang}, ``Global regularities of two-dimensional density patch for inhomogeneous incompressible viscous flow with general density'', Preprint, arXiv:1604.07922 [math.AP] (2016) Full Text: arXiv OA License
Abidi, Hammadi; Zhang, Ping Global well-posedness of 3-D density-dependent Navier-Stokes system with variable viscosity. (English) Zbl 1327.35294 Sci. China, Math. 58, No. 6, 1129-1150 (2015). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, Sci. China, Math. 58, No. 6, 1129--1150 (2015; Zbl 1327.35294) Full Text: DOI arXiv
Abidi, Hammadi; Zhang, Ping Global smooth axisymmetric solutions of 3-D inhomogeneous incompressible Navier-Stokes system. (English) Zbl 1333.35154 Calc. Var. Partial Differ. Equ. 54, No. 3, 3251-3276 (2015). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q30 76D03 76D05 35B65 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, Calc. Var. Partial Differ. Equ. 54, No. 3, 3251--3276 (2015; Zbl 1333.35154) Full Text: DOI arXiv
Paicu, Marius; Zhang, Ping On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: well-prepared data. (English) Zbl 1326.35247 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 813-832 (2015). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D03 42B25 76D05 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 4, 813--832 (2015; Zbl 1326.35247) Full Text: DOI
Lin, Fanghua; Xu, Li; Zhang, Ping Global small solutions of 2-D incompressible MHD system. (English) Zbl 1321.35138 J. Differ. Equations 259, No. 10, 5440-5485 (2015). MSC: 35Q30 76D03 76W05 42B25 35B45 PDFBibTeX XMLCite \textit{F. Lin} et al., J. Differ. Equations 259, No. 10, 5440--5485 (2015; Zbl 1321.35138) Full Text: DOI arXiv
Abidi, Hammadi; Zhang, Ping On the global well-posedness of 2-D inhomogeneous incompressible Navier-Stokes system with variable viscous coefficient. (English) Zbl 1320.35252 J. Differ. Equations 259, No. 8, 3755-3802 (2015). MSC: 35Q30 76D03 42B25 35B65 76D05 PDFBibTeX XMLCite \textit{H. Abidi} and \textit{P. Zhang}, J. Differ. Equations 259, No. 8, 3755--3802 (2015; Zbl 1320.35252) Full Text: DOI
Xu, Li; Zhang, Ping Global small solutions to three-dimensional incompressible magnetohydrodynamical system. (English) Zbl 1352.35099 SIAM J. Math. Anal. 47, No. 1, 26-65 (2015). Reviewer: Alessandro Duci (Milano) MSC: 35Q30 76W05 76D03 42B25 PDFBibTeX XMLCite \textit{L. Xu} and \textit{P. Zhang}, SIAM J. Math. Anal. 47, No. 1, 26--65 (2015; Zbl 1352.35099) Full Text: DOI arXiv
Chemin, Jean-Yves; Zhang, Ping Remarks on the global solutions of 3-D Navier-Stokes system with one slow variable. (English) Zbl 1323.35128 Commun. Partial Differ. Equations 40, No. 5, 878-896 (2015). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{J.-Y. Chemin} and \textit{P. Zhang}, Commun. Partial Differ. Equations 40, No. 5, 878--896 (2015; Zbl 1323.35128) Full Text: DOI arXiv
Zhang, Ping; Zhang, Ting Global axisymmetric solutions to three-dimensional Navier-Stokes system. (English) Zbl 1466.35292 Int. Math. Res. Not. 2014, No. 3, 610-642 (2014). MSC: 35Q30 35B30 76D05 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{T. Zhang}, Int. Math. Res. Not. 2014, No. 3, 610--642 (2014; Zbl 1466.35292) Full Text: DOI
Chemin, Jean-Yves; Paicu, Marius; Zhang, Ping Global large solutions to 3-D inhomogeneous Navier-Stokes system with one slow variable. (English) Zbl 1317.35171 J. Differ. Equations 256, No. 1, 223-252 (2014). MSC: 35Q30 76D03 42B25 PDFBibTeX XMLCite \textit{J.-Y. Chemin} et al., J. Differ. Equations 256, No. 1, 223--252 (2014; Zbl 1317.35171) Full Text: DOI arXiv
Danchin, Raphaël; Zhang, Ping Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density. (English) Zbl 1297.35167 J. Funct. Anal. 267, No. 7, 2371-2436 (2014). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{R. Danchin} and \textit{P. Zhang}, J. Funct. Anal. 267, No. 7, 2371--2436 (2014; Zbl 1297.35167) Full Text: DOI arXiv
Lin, Fanghua; Zhang, Ping Global small solutions to an MHD-type system: the three-dimensional case. (English) Zbl 1298.35153 Commun. Pure Appl. Math. 67, No. 4, 531-580 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 35Q30 76W05 76A10 42B25 PDFBibTeX XMLCite \textit{F. Lin} and \textit{P. Zhang}, Commun. Pure Appl. Math. 67, No. 4, 531--580 (2014; Zbl 1298.35153) Full Text: DOI
Zhang, Ping; Zhang, Zhifei Global well-posedness of 3-D inhomogeneous Navier-Stokes equations with ill-prepared initial data. arXiv:1409.1649 Preprint, arXiv:1409.1649 [math.AP] (2014). MSC: 35Q30 76D05 BibTeX Cite \textit{P. Zhang} and \textit{Z. Zhang}, ``Global well-posedness of 3-D inhomogeneous Navier-Stokes equations with ill-prepared initial data'', Preprint, arXiv:1409.1649 [math.AP] (2014) Full Text: arXiv OA License
Lin, Fanghua (ed.); Zhang, Ping (ed.) Lectures on the analysis of nonlinear partial differential equations. Part 3. (English) Zbl 1342.35008 Morningside Lectures in Mathematics 3. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-267-1/hbk). 393 p. (2013). MSC: 35-06 35Qxx 76D05 86A05 00B25 PDFBibTeX XMLCite \textit{F. Lin} (ed.) and \textit{P. Zhang} (ed.), Lectures on the analysis of nonlinear partial differential equations. Part 3. Somerville, MA: International Press; Beijing: Higher Education Press (2013; Zbl 1342.35008)
Ming, Mei; Zhang, Ping; Zhang, Zhifei KP approximation to the 3-D water wave equations with surface tension. (English) Zbl 1298.35154 Chen, Hua (ed.) et al., Emerging topics on differential equations and their applications. Proceedings on Sino-Japan conference of young mathematicians (SJCYM), Nankai University, Tianjin, People’s Republic of China, December 5–9, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4449-74-8/hbk; 978-981-4449-76-2/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 10, 271-289 (2013). MSC: 35Q35 76B15 76B45 PDFBibTeX XMLCite \textit{M. Ming} et al., Nankai Ser. Pure Appl. Math. Theor. Phys. 10, 271--289 (2013; Zbl 1298.35154) Full Text: DOI
Xu, Li; Zhang, Ping; Zhang, Zhifei Global solvability of a free boundary three-dimensional incompressible viscoelastic fluid system with surface tension. (English) Zbl 1290.35212 Arch. Ration. Mech. Anal. 208, No. 3, 753-803 (2013). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 76A10 PDFBibTeX XMLCite \textit{L. Xu} et al., Arch. Ration. Mech. Anal. 208, No. 3, 753--803 (2013; Zbl 1290.35212) Full Text: DOI
Huang, Jingchi; Paicu, Marius; Zhang, Ping Global well-posedness of incompressible inhomogeneous fluid systems with bounded density or non-Lipschitz velocity. (English) Zbl 1287.35055 Arch. Ration. Mech. Anal. 209, No. 2, 631-682 (2013). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D05 35D30 35B65 PDFBibTeX XMLCite \textit{J. Huang} et al., Arch. Ration. Mech. Anal. 209, No. 2, 631--682 (2013; Zbl 1287.35055) Full Text: DOI arXiv
Abidi, Hammadi; Gui, Guilong; Zhang, Ping Well-posedness of 3-D inhomogeneous Navier-Stokes equations with highly oscillatory initial velocity field. (English) Zbl 1284.35302 J. Math. Pures Appl. (9) 100, No. 2, 166-203 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{H. Abidi} et al., J. Math. Pures Appl. (9) 100, No. 2, 166--203 (2013; Zbl 1284.35302) Full Text: DOI
Huang, Jingchi; Paicu, Marius; Zhang, Ping Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. (English) Zbl 1290.35184 J. Math. Pures Appl. (9) 100, No. 6, 806-831 (2013). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q30 76D03 35A01 76D05 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Math. Pures Appl. (9) 100, No. 6, 806--831 (2013; Zbl 1290.35184) Full Text: DOI arXiv
Paicu, Marius; Zhang, Ping; Zhang, Zhifei Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density. (English) Zbl 1314.35086 Commun. Partial Differ. Equations 38, No. 7-9, 1208-1234 (2013). MSC: 35Q30 76D05 PDFBibTeX XMLCite \textit{M. Paicu} et al., Commun. Partial Differ. Equations 38, No. 7--9, 1208--1234 (2013; Zbl 1314.35086) Full Text: DOI arXiv
Chemin, Jean-Yves; Gallagher, Isabelle; Zhang, Ping Sums of large global solutions to the incompressible Navier-Stokes equations. (English) Zbl 1300.35068 J. Reine Angew. Math. 681, 65-82 (2013). Reviewer: Zhigang Wu (Shanghai) MSC: 35Q30 76D05 35B65 PDFBibTeX XMLCite \textit{J.-Y. Chemin} et al., J. Reine Angew. Math. 681, 65--82 (2013; Zbl 1300.35068) Full Text: DOI arXiv
Huang, Jingchi; Paicu, Marius; Zhang, Ping Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. (English) Zbl 1273.35211 Cicognani, Massimo (ed.) et al., Studies in phase space analysis with applications to PDEs. In part selected papers based on the presentations at a meeting, Bertinoro, Italy, September 2011. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-6347-4/hbk; 978-1-4614-6348-1/ebook). Progress in Nonlinear Differential Equations and Their Applications 84, 159-180 (2013). MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{J. Huang} et al., Prog. Nonlinear Differ. Equ. Appl. 84, 159--180 (2013; Zbl 1273.35211) Full Text: DOI
Zhang, Ping; Zhang, Zhifei On the free boundary problem of 3-D incompressible Euler equations. (English) Zbl 1286.35277 Lin, Fanghua (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 1. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-235-0/pbk). Morningside Lectures in Mathematics 1, 199-283 (2012). MSC: 35R35 35Q31 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Z. Zhang}, Morningside Lect. Math. 1, 199--283 (2012; Zbl 1286.35277)
Ming, Mei; Saut, Jean Claude; Zhang, Ping Long-time existence of solutions to Boussinesq systems. (English) Zbl 1259.35168 SIAM J. Math. Anal. 44, No. 6, 4078-4100 (2012). MSC: 35Q35 35B40 PDFBibTeX XMLCite \textit{M. Ming} et al., SIAM J. Math. Anal. 44, No. 6, 4078--4100 (2012; Zbl 1259.35168) Full Text: DOI
Ming, Mei; Zhang, Ping; Zhang, Zhifei Large time well-posedness of the three-dimensional capillary-gravity waves in the long wave regime. (English) Zbl 1330.76025 Arch. Ration. Mech. Anal. 204, No. 2, 387-444 (2012). MSC: 76B15 76B45 35Q35 PDFBibTeX XMLCite \textit{M. Ming} et al., Arch. Ration. Mech. Anal. 204, No. 2, 387--444 (2012; Zbl 1330.76025) Full Text: DOI arXiv
Abidi, Hammadi; Gui, Guilong; Zhang, Ping On the wellposedness of three-dimensional inhomogeneous Navier-Stokes equations in the critical spaces. (English) Zbl 1314.76021 Arch. Ration. Mech. Anal. 204, No. 1, 189-230 (2012). MSC: 76D03 35Q30 PDFBibTeX XMLCite \textit{H. Abidi} et al., Arch. Ration. Mech. Anal. 204, No. 1, 189--230 (2012; Zbl 1314.76021) Full Text: DOI
Ming, Mei; Zhang, Ping; Zhang, Zhifei Long-wave approximation to the 3-D capillary-gravity waves. (English) Zbl 1251.35087 SIAM J. Math. Anal. 44, No. 4, 2920-2948 (2012). MSC: 35Q35 35B40 76B15 35R25 76B45 PDFBibTeX XMLCite \textit{M. Ming} et al., SIAM J. Math. Anal. 44, No. 4, 2920--2948 (2012; Zbl 1251.35087) Full Text: DOI
Lin, Fanghua (ed.); Wang, Xueping (ed.); Zhang, Ping (ed.) Lectures on the analysis of nonlinear partial differential equations. Part 1. (English) Zbl 1243.35005 Morningside Lectures in Mathematics 1. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-235-0/pbk). iii, 317 p. (2012). MSC: 35-06 35Qxx 76-06 76M99 00B25 PDFBibTeX XMLCite \textit{F. Lin} (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 1. Somerville, MA: International Press; Beijing: Higher Education Press (2012; Zbl 1243.35005)
Lin, Fanghua (ed.); Wang, Xueping (ed.); Zhang, Ping (ed.) Lectures on the analysis of nonlinear partial differential equations. Part 2. (English) Zbl 1243.35004 Morningside Lectures in Mathematics 2. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-238-1/pbk). 331 p. (2012). MSC: 35-06 35Qxx 76-06 76M99 76D05 00B25 PDFBibTeX XMLCite \textit{F. Lin} (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 2. Somerville, MA: International Press; Beijing: Higher Education Press (2012; Zbl 1243.35004)
Zhang, Ping; Zhang, Ting Regularity of the Koch-Tataru solutions to Navier-Stokes system. (English) Zbl 1238.35091 Sci. China, Math. 55, No. 2, 453-464 (2012). MSC: 35Q30 76D03 42B25 35B45 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{T. Zhang}, Sci. China, Math. 55, No. 2, 453--464 (2012; Zbl 1238.35091) Full Text: DOI
Paicu, Marius; Zhang, Ping Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system. (English) Zbl 1236.35112 J. Funct. Anal. 262, No. 8, 3556-3584 (2012). MSC: 35Q30 35A01 30H25 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, J. Funct. Anal. 262, No. 8, 3556--3584 (2012; Zbl 1236.35112) Full Text: DOI
Zhang, Ping; Zheng, Yuxi Energy conservative solutions to a one-dimensional full variational wave system. (English) Zbl 1236.35127 Commun. Pure Appl. Math. 65, No. 5, 683-726 (2012). MSC: 35Q35 35D30 76A15 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Y. Zheng}, Commun. Pure Appl. Math. 65, No. 5, 683--726 (2012; Zbl 1236.35127) Full Text: DOI
Gui, Guilong; Huang, Jingchi; Zhang, Ping Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable. (English) Zbl 1229.35180 J. Funct. Anal. 261, No. 11, 3181-3210 (2011). MSC: 35Q30 76D05 76D03 PDFBibTeX XMLCite \textit{G. Gui} et al., J. Funct. Anal. 261, No. 11, 3181--3210 (2011; Zbl 1229.35180) Full Text: DOI
Paicu, Marius; Zhang, Ping Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces. (English) Zbl 1237.35129 Commun. Math. Phys. 307, No. 3, 713-759 (2011). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35Q30 76D03 35A02 46E35 PDFBibTeX XMLCite \textit{M. Paicu} and \textit{P. Zhang}, Commun. Math. Phys. 307, No. 3, 713--759 (2011; Zbl 1237.35129) Full Text: DOI
Abidi, Hammadi; Gui, Guilong; Zhang, Ping On the decay and stability of global solutions to the 3-D inhomogeneous Navier-Stokes equations. (English) Zbl 1222.35148 Commun. Pure Appl. Math. 64, No. 6, 832-881 (2011). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q35 35Q30 35B35 76D05 PDFBibTeX XMLCite \textit{H. Abidi} et al., Commun. Pure Appl. Math. 64, No. 6, 832--881 (2011; Zbl 1222.35148) Full Text: DOI
Goudon, Thierry; He, Lingbing; Moussa, Ayman; Zhang, Ping The Navier-Stokes-Vlasov-Fokker-Planck system near equilibrium. (English) Zbl 1217.35142 SIAM J. Math. Anal. 42, No. 5, 2177-2202 (2010). MSC: 35Q35 76D05 82C40 35B65 35B40 76T99 PDFBibTeX XMLCite \textit{T. Goudon} et al., SIAM J. Math. Anal. 42, No. 5, 2177--2202 (2010; Zbl 1217.35142) Full Text: DOI
Gui, Guilong; Zhang, Ping Stability to the global large solutions of 3-D Navier-Stokes equations. (English) Zbl 1202.35004 Adv. Math. 225, No. 3, 1248-1284 (2010). Reviewer: Oleg Dementiev (Chelyabinsk) MSC: 35-02 35Q30 76D03 35B35 PDFBibTeX XMLCite \textit{G. Gui} and \textit{P. Zhang}, Adv. Math. 225, No. 3, 1248--1284 (2010; Zbl 1202.35004) Full Text: DOI
Feireisl, Eduard; Zhang, Ping Quasi-neutral limit for a model of viscous plasma. (English) Zbl 1198.35194 Arch. Ration. Mech. Anal. 197, No. 1, 271-295 (2010). MSC: 35Q35 35Q60 76X05 35B45 35Q30 PDFBibTeX XMLCite \textit{E. Feireisl} and \textit{P. Zhang}, Arch. Ration. Mech. Anal. 197, No. 1, 271--295 (2010; Zbl 1198.35194) Full Text: DOI
Zhang, Ping; Zheng, Yuxi Conservative solutions to a system of variational wave equations of nematic liquid crystals. (English) Zbl 1304.76008 Arch. Ration. Mech. Anal. 195, No. 3, 701-727 (2010). MSC: 76A15 35Q35 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Y. Zheng}, Arch. Ration. Mech. Anal. 195, No. 3, 701--727 (2010; Zbl 1304.76008) Full Text: DOI
Gui, Guilong; Zhang, Ping Global smooth solutions to the 2-D inhomogeneous Navier-Stokes equations with variable viscosity. (English) Zbl 1189.35228 Chin. Ann. Math., Ser. B 30, No. 5, 607-630 (2009). MSC: 35Q30 76D03 76D05 PDFBibTeX XMLCite \textit{G. Gui} and \textit{P. Zhang}, Chin. Ann. Math., Ser. B 30, No. 5, 607--630 (2009; Zbl 1189.35228) Full Text: DOI