Shang, Haifeng; Wu, Jiahong; Zhang, Qian Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation. (English) Zbl 07806037 J. Evol. Equ. 24, No. 1, Paper No. 12, 41 p. (2024). MSC: 35Q35 76W05 76D03 35B35 35B40 35A01 35A02 PDFBibTeX XMLCite \textit{H. Shang} et al., J. Evol. Equ. 24, No. 1, Paper No. 12, 41 p. (2024; Zbl 07806037) Full Text: DOI
Lin, Hongxia; Suo, Xiaoxiao; Wu, Jiahong The global well-posedness and decay estimates for the 3D incompressible MHD equations with vertical dissipation in a strip. (English) Zbl 07794989 Int. Math. Res. Not. 2023, No. 22, 19115-19155 (2023). MSC: 35Q35 76W05 76X05 35A01 35A02 PDFBibTeX XMLCite \textit{H. Lin} et al., Int. Math. Res. Not. 2023, No. 22, 19115--19155 (2023; Zbl 07794989) Full Text: DOI
Wu, Jiahong; Zhai, Xiaoping Global small solutions to the 3D compressible viscous non-resistive MHD system. (English) Zbl 1527.35305 Math. Models Methods Appl. Sci. 33, No. 13, 2629-2656 (2023). MSC: 35Q35 35A01 35A02 76W05 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Zhai}, Math. Models Methods Appl. Sci. 33, No. 13, 2629--2656 (2023; Zbl 1527.35305) Full Text: DOI arXiv
Chen, Tiantian; Lin, Hongxia; Wu, Jiahong The 2D magnetohydrodynamic system with Euler-like velocity equation and partial magnetic diffusion. (English) Zbl 07778770 Stud. Appl. Math. 150, No. 3, 629-649 (2023). MSC: 35Q31 76W05 76B03 76E25 35B35 35B20 35A01 35A02 PDFBibTeX XMLCite \textit{T. Chen} et al., Stud. Appl. Math. 150, No. 3, 629--649 (2023; Zbl 07778770) Full Text: DOI
Ji, Ruihong; Li, Dan; Wu, Jiahong Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation. (English) Zbl 1527.35007 Commun. Math. Sci. 21, No. 6, 1531-1548 (2023). MSC: 35A02 35D30 35Q35 76D03 PDFBibTeX XMLCite \textit{R. Ji} et al., Commun. Math. Sci. 21, No. 6, 1531--1548 (2023; Zbl 1527.35007) Full Text: DOI
Dai, Yichen; Tan, Zhong; Wu, Jiahong A class of global large solutions to the Oldroyd-B-type model with fractional dissipation. (English) Zbl 1527.35466 Commun. Math. Sci. 21, No. 5, 1349-1362 (2023). MSC: 35R11 35Q35 76D03 PDFBibTeX XMLCite \textit{Y. Dai} et al., Commun. Math. Sci. 21, No. 5, 1349--1362 (2023; Zbl 1527.35466) Full Text: DOI
Lin, Hongxia; Wu, Jiahong; Zhu, Yi Global solutions to 3D incompressible MHD system with dissipation in only one direction. (English) Zbl 1527.35295 SIAM J. Math. Anal. 55, No. 5, 4570-4598 (2023). MSC: 35Q35 76D03 76D05 76W05 76E25 35A01 35A02 35B35 35B65 PDFBibTeX XMLCite \textit{H. Lin} et al., SIAM J. Math. Anal. 55, No. 5, 4570--4598 (2023; Zbl 1527.35295) Full Text: DOI arXiv
Zhao, Jiefeng; Wu, Jiahong Oldroyd-B model with high Weissenberg number and fractional velocity dissipation. (English) Zbl 1518.35561 J. Geom. Anal. 33, No. 9, Paper No. 296, 38 p. (2023). MSC: 35Q35 35B35 76A05 76A10 76D03 76D05 35B65 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{J. Wu}, J. Geom. Anal. 33, No. 9, Paper No. 296, 38 p. (2023; Zbl 1518.35561) Full Text: DOI
Wu, Jiahong; Zhao, Kun On 2D incompressible Boussinesq systems: global stabilization under dynamic boundary conditions. (English) Zbl 1516.35344 J. Differ. Equations 367, 246-289 (2023). MSC: 35Q35 76D05 76D03 35B40 35B35 35A01 35A02 PDFBibTeX XMLCite \textit{J. Wu} and \textit{K. Zhao}, J. Differ. Equations 367, 246--289 (2023; Zbl 1516.35344) Full Text: DOI
Ji, Ruihong; Tian, Ling; Wu, Jiahong 3D anisotropic Navier-Stokes equations in \(\mathbb{R}\): stability and large-time behaviour. (English) Zbl 1517.35153 Nonlinearity 36, No. 6, 3219-3237 (2023). MSC: 35Q30 76D03 76D05 35B35 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{R. Ji} et al., Nonlinearity 36, No. 6, 3219--3237 (2023; Zbl 1517.35153) Full Text: DOI
Wu, Jiahong; Zhao, Jiefeng Mild ill-posedness in \(L^\infty\) for 2D resistive MHD equations near a background magnetic field. (English) Zbl 1512.35494 Int. Math. Res. Not. 2023, No. 6, 4839-4868 (2023). MSC: 35Q35 35B35 35A01 35A02 76W05 76E25 PDFBibTeX XMLCite \textit{J. Wu} and \textit{J. Zhao}, Int. Math. Res. Not. 2023, No. 6, 4839--4868 (2023; Zbl 1512.35494) Full Text: DOI
Dong, Boqing; Wu, Jiahong; Zhai, Xiaoping Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system. (English) Zbl 1504.35309 J. Nonlinear Sci. 33, No. 1, Paper No. 21, 37 p. (2023). MSC: 35Q35 35B35 35A01 35A02 76W05 76N10 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Nonlinear Sci. 33, No. 1, Paper No. 21, 37 p. (2023; Zbl 1504.35309) Full Text: DOI arXiv
Enlow, Matthew; Larios, Adam; Wu, Jiahong Calmed 3D Navier-Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence. arXiv:2312.17371 Preprint, arXiv:2312.17371 [math.AP] (2023). MSC: 35Q30 76D03 35Q35 35B41 76D05 35A35 35A01 35K55 BibTeX Cite \textit{M. Enlow} et al., ``Calmed 3D Navier-Stokes Equations: Global Well-Posedness, Energy Identities, Global Attractors, and Convergence'', Preprint, arXiv:2312.17371 [math.AP] (2023) Full Text: arXiv OA License
Said, Oussama Ben; Pandey, Uddhaba Raj; Wu, Jiahong The stabilizing effect of the temperature on buoyancy-driven fluids. (English) Zbl 1505.35308 Indiana Univ. Math. J. 71, No. 6, 2605-2645 (2022). MSC: 35Q35 35Q86 76D03 76D50 76D05 76R50 76E06 76E20 76E30 86A05 PDFBibTeX XMLCite \textit{O. B. Said} et al., Indiana Univ. Math. J. 71, No. 6, 2605--2645 (2022; Zbl 1505.35308) Full Text: DOI arXiv
Ji, Ruihong; Wu, Jiahong; Xu, Xiaojing Global well-posedness of the 2D MHD equations of damped wave type in Sobolev space. (English) Zbl 1503.35167 SIAM J. Math. Anal. 54, No. 6, 6018-6053 (2022). MSC: 35Q35 76W05 35A01 35A02 76D03 PDFBibTeX XMLCite \textit{R. Ji} et al., SIAM J. Math. Anal. 54, No. 6, 6018--6053 (2022; Zbl 1503.35167) Full Text: DOI
Wu, Jiahong; Zhu, Yi Global well-posedness for 2D non-resistive compressible MHD system in periodic domain. (English) Zbl 1496.35328 J. Funct. Anal. 283, No. 7, Article ID 109602, 49 p. (2022). MSC: 35Q35 35A01 35A02 35A09 35B65 35B35 76W05 76N10 PDFBibTeX XMLCite \textit{J. Wu} and \textit{Y. Zhu}, J. Funct. Anal. 283, No. 7, Article ID 109602, 49 p. (2022; Zbl 1496.35328) Full Text: DOI arXiv
Ji, Ruihong; Yan, Li; Wu, Jiahong Optimal decay for the 3D anisotropic Boussinesq equations near the hydrostatic balance. (English) Zbl 1491.35339 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 136, 34 p. (2022). MSC: 35Q35 35B35 35B40 76D03 35A01 35A02 PDFBibTeX XMLCite \textit{R. Ji} et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 136, 34 p. (2022; Zbl 1491.35339) Full Text: DOI
Adhikari, Dhanapati; Ben Said, Oussama; Pandey, Uddhaba Raj; Wu, Jiahong Stability and large-time behavior for the 2D Boussineq system with horizontal dissipation and vertical thermal diffusion. (English) Zbl 1490.35294 NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 42, 43 p. (2022). MSC: 35Q35 35Q86 76D03 76D50 76R10 86A05 PDFBibTeX XMLCite \textit{D. Adhikari} et al., NoDEA, Nonlinear Differ. Equ. Appl. 29, No. 4, Paper No. 42, 43 p. (2022; Zbl 1490.35294) Full Text: DOI
Lai, Suhua; Wu, Jiahong; Zhang, Jianwen Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping. (English) Zbl 1506.35165 Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 126, 31 p. (2022). MSC: 35Q35 35Q31 76W05 35A01 35B35 35B65 76B03 76E25 PDFBibTeX XMLCite \textit{S. Lai} et al., Calc. Var. Partial Differ. Equ. 61, No. 4, Paper No. 126, 31 p. (2022; Zbl 1506.35165) Full Text: DOI
Wu, Jiahong; Zhao, Jiefeng Global regularity for the generalized incompressible Oldroyd-B model with only stress tensor dissipation in critical Besov spaces. (English) Zbl 1493.35073 J. Differ. Equations 316, 641-686 (2022). Reviewer: Gheorghe Moroşanu (Cluj-Napoca) MSC: 35Q30 76D05 76A10 35A01 35A02 PDFBibTeX XMLCite \textit{J. Wu} and \textit{J. Zhao}, J. Differ. Equations 316, 641--686 (2022; Zbl 1493.35073) Full Text: DOI
Wang, Peixin; Wu, Jiahong; Xu, Xiaojing; Zhong, Yueyuan Sharp decay estimates for Oldroyd-B model with only fractional stress tensor diffusion. (English) Zbl 1481.35345 J. Funct. Anal. 282, No. 4, Article ID 109332, 55 p. (2022). MSC: 35Q35 35Q86 42A38 76D03 76A05 76D50 PDFBibTeX XMLCite \textit{P. Wang} et al., J. Funct. Anal. 282, No. 4, Article ID 109332, 55 p. (2022; Zbl 1481.35345) Full Text: DOI
Constantin, Peter; Wu, Jiahong; Zhao, Jiefeng; Zhu, Yi High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation. (English) Zbl 1481.35321 J. Evol. Equ. 21, No. 3, 2787-2806 (2021). MSC: 35Q35 76A10 76T20 35B35 35A01 35A02 26A33 35R11 PDFBibTeX XMLCite \textit{P. Constantin} et al., J. Evol. Equ. 21, No. 3, 2787--2806 (2021; Zbl 1481.35321) Full Text: DOI arXiv
Lai, Suhua; Wu, Jiahong; Zhang, Jianwen Stabilizing phenomenon for 2D anisotropic magnetohydrodynamic system near a background magnetic field. (English) Zbl 1477.35169 SIAM J. Math. Anal. 53, No. 5, 6073-6093 (2021). MSC: 35Q35 76W05 76D03 76E25 35A01 35B35 35B65 PDFBibTeX XMLCite \textit{S. Lai} et al., SIAM J. Math. Anal. 53, No. 5, 6073--6093 (2021; Zbl 1477.35169) 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
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation. (English) Zbl 1487.35287 J. Math. Fluid Mech. 23, No. 4, Paper No. 100, 11 p. (2021). MSC: 35Q30 35B35 35B40 76D03 76D05 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Math. Fluid Mech. 23, No. 4, Paper No. 100, 11 p. (2021; Zbl 1487.35287) Full Text: DOI
Ben Said, Oussama; Wu, Jiahong Unique weak solutions of the \(d\)-dimensional micropolar equation with fractional dissipation. (English) Zbl 1475.35257 Math. Methods Appl. Sci. 44, No. 1, 345-377 (2021). MSC: 35Q35 76A05 35D30 35A01 35A02 26A33 35R11 42B25 PDFBibTeX XMLCite \textit{O. Ben Said} and \textit{J. Wu}, Math. Methods Appl. Sci. 44, No. 1, 345--377 (2021; Zbl 1475.35257) Full Text: DOI arXiv
Wu, Jiahong; Zhang, Qian Stability and optimal decay for a system of 3D anisotropic Boussinesq equations. (English) Zbl 1473.35459 Nonlinearity 34, No. 8, 5456-5484 (2021). MSC: 35Q35 35B35 35B40 76D03 76R10 35B20 35B05 PDFBibTeX XMLCite \textit{J. Wu} and \textit{Q. Zhang}, Nonlinearity 34, No. 8, 5456--5484 (2021; Zbl 1473.35459) Full Text: DOI
Dong, Boqing; Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and exponential decay for the 2D anisotropic Boussinesq equations with horizontal dissipation. (English) Zbl 1472.35292 Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 116, 21 p. (2021). MSC: 35Q35 35B35 35B40 35B05 35B20 76D03 76D50 PDFBibTeX XMLCite \textit{B. Dong} et al., Calc. Var. Partial Differ. Equ. 60, No. 3, Paper No. 116, 21 p. (2021; Zbl 1472.35292) Full Text: DOI arXiv
Ji, Ruihong; Wu, Jiahong; Yang, Wanrong Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation. (English) Zbl 1471.35233 J. Differ. Equations 290, 57-77 (2021). MSC: 35Q35 35B35 35B40 76D03 76D05 PDFBibTeX XMLCite \textit{R. Ji} et al., J. Differ. Equations 290, 57--77 (2021; Zbl 1471.35233) Full Text: DOI
Wu, Jiahong; Zhu, Yi Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium. (English) Zbl 1455.35207 Adv. Math. 377, Article ID 107466, 27 p. (2021). MSC: 35Q35 76W05 76D05 76E25 76D03 35A01 35A02 35B35 35B65 PDFBibTeX XMLCite \textit{J. Wu} and \textit{Y. Zhu}, Adv. Math. 377, Article ID 107466, 27 p. (2021; Zbl 1455.35207) Full Text: DOI arXiv
Lai, Suhua; Wu, Jiahong; Zhong, Yueyuan Stability and large-time behavior of the 2D Boussinesq equations with partial dissipation. (English) Zbl 1454.35288 J. Differ. Equations 271, 764-796 (2021). MSC: 35Q35 35Q86 76D03 76D50 35B40 35B35 86A05 86A10 76R10 PDFBibTeX XMLCite \textit{S. Lai} et al., J. Differ. Equations 271, 764--796 (2021; Zbl 1454.35288) Full Text: DOI
Dai, Yichen; Ji, Ruihong; Wu, Jiahong Unique weak solutions of the magnetohydrodynamic equations with fractional dissipation. (English) Zbl 07809736 ZAMM, Z. Angew. Math. Mech. 100, No. 7, Article ID e201900290, 20 p. (2020). MSC: 35Qxx 76Wxx 35Bxx PDFBibTeX XMLCite \textit{Y. Dai} et al., ZAMM, Z. Angew. Math. Mech. 100, No. 7, Article ID e201900290, 20 p. (2020; Zbl 07809736) Full Text: DOI
Jiu, Quansen; Suo, Xiaoxiao; Wu, Jiahong; Yu, Huan Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation. (English) Zbl 1464.35230 Commun. Math. Sci. 18, No. 4, 987-1022 (2020). MSC: 35Q35 76D03 76W05 35D30 35A01 35A02 35R11 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Commun. Math. Sci. 18, No. 4, 987--1022 (2020; Zbl 1464.35230) Full Text: DOI arXiv
Boardman, Nicki; Lin, Hongxia; Wu, Jiahong Stabilization of a background magnetic field on a 2 dimensional magnetohydrodynamic flow. (English) Zbl 1450.35210 SIAM J. Math. Anal. 52, No. 5, 5001-5035 (2020). MSC: 35Q35 76D03 76W05 35B35 PDFBibTeX XMLCite \textit{N. Boardman} et al., SIAM J. Math. Anal. 52, No. 5, 5001--5035 (2020; Zbl 1450.35210) Full Text: DOI
Dai, Yichen; Hu, Weiwei; Wu, Jiahong; Xiao, Bei The Littlewood-Paley decomposition for periodic functions and applications to the Boussinesq equations. (English) Zbl 1444.42023 Anal. Appl., Singap. 18, No. 4, 639-682 (2020). MSC: 42B25 42B37 35A02 35Q35 76D03 PDFBibTeX XMLCite \textit{Y. Dai} et al., Anal. Appl., Singap. 18, No. 4, 639--682 (2020; Zbl 1444.42023) Full Text: DOI
Wang, Dehua; Wu, Jiahong; Ye, Zhuan Global regularity of the three-dimensional fractional micropolar equations. (English) Zbl 1434.35122 J. Math. Fluid Mech. 22, No. 2, Paper No. 28, 36 p. (2020). MSC: 35Q35 35B65 76B03 PDFBibTeX XMLCite \textit{D. Wang} et al., J. Math. Fluid Mech. 22, No. 2, Paper No. 28, 36 p. (2020; Zbl 1434.35122) Full Text: DOI arXiv
Tao, Lizheng; Wu, Jiahong; Zhao, Kun; Zheng, Xiaoming Stability near hydrostatic equilibrium to the 2D Boussinesq equations without thermal diffusion. (English) Zbl 1437.35549 Arch. Ration. Mech. Anal. 237, No. 2, 585-630 (2020). MSC: 35Q30 76D03 76D05 35B20 PDFBibTeX XMLCite \textit{L. Tao} et al., Arch. Ration. Mech. Anal. 237, No. 2, 585--630 (2020; Zbl 1437.35549) Full Text: DOI
Li, Siran; Wu, Jiahong; Zhao, Kun On the degenerate Boussinesq equations on surfaces. (English) Zbl 1437.35582 J. Geom. Mech. 12, No. 1, 107-140 (2020). MSC: 35Q35 58J90 76D03 76D45 35D35 PDFBibTeX XMLCite \textit{S. Li} et al., J. Geom. Mech. 12, No. 1, 107--140 (2020; Zbl 1437.35582) Full Text: DOI
Lin, Hongxia; Ji, Ruihong; Wu, Jiahong; Yan, Li Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation. (English) Zbl 1437.35581 J. Funct. Anal. 279, No. 2, Article ID 108519, 39 p. (2020). MSC: 35Q35 76D03 76W05 35B35 76E25 35B40 PDFBibTeX XMLCite \textit{H. Lin} et al., J. Funct. Anal. 279, No. 2, Article ID 108519, 39 p. (2020; Zbl 1437.35581) Full Text: DOI
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan 2D tropical climate model with fractional dissipation and without thermal diffusion. (English) Zbl 1439.35479 Commun. Math. Sci. 18, No. 1, 259-292 (2020). MSC: 35Q86 86A05 35Q35 35R11 26A33 35B65 35D35 76D03 35A01 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., Commun. Math. Sci. 18, No. 1, 259--292 (2020; Zbl 1439.35479) Full Text: DOI
Ji, Ruihong; Wu, Jiahong The resistive magnetohydrodynamic equation near an equilibrium. (English) Zbl 1433.35281 J. Differ. Equations 268, No. 4, 1854-1871 (2020). MSC: 35Q35 76D03 76W05 35B40 35B20 35B35 PDFBibTeX XMLCite \textit{R. Ji} and \textit{J. Wu}, J. Differ. Equations 268, No. 4, 1854--1871 (2020; Zbl 1433.35281) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Zhu, Ning Stability and decay rates for a variant of the 2D Boussinesq-Bénard system. (English) Zbl 1434.35128 Commun. Math. Sci. 17, No. 8, 2325-2352 (2019). MSC: 35Q35 76D03 76D05 35B40 35B35 35B65 35B20 PDFBibTeX XMLCite \textit{J. Wu} et al., Commun. Math. Sci. 17, No. 8, 2325--2352 (2019; Zbl 1434.35128) Full Text: DOI
Boardman, Nicole; Ji, Ruihong; Qiu, Hua; Wu, Jiahong Uniqueness of weak solutions to the Boussinesq equations without thermal diffusion. (English) Zbl 1433.35260 Commun. Math. Sci. 17, No. 6, 1595-1624 (2019). MSC: 35Q35 76D03 35D30 35R11 26A33 PDFBibTeX XMLCite \textit{N. Boardman} et al., Commun. Math. Sci. 17, No. 6, 1595--1624 (2019; Zbl 1433.35260) Full Text: DOI
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong The D incompressible Navier-Stokes equations with partial hyperdissipation. (English) Zbl 1428.35317 Math. Nachr. 292, No. 8, 1823-1836 (2019). MSC: 35Q30 76D03 35B65 76D05 35R11 PDFBibTeX XMLCite \textit{W. Yang} et al., Math. Nachr. 292, No. 8, 1823--1836 (2019; Zbl 1428.35317) Full Text: DOI
Dai, Yichen; Tan, Zhong; Wu, Jiahong A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation. (English) Zbl 1428.35353 Z. Angew. Math. Phys. 70, No. 5, Paper No. 153, 13 p. (2019). MSC: 35Q35 76D03 76W05 35R11 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Dai} et al., Z. Angew. Math. Phys. 70, No. 5, Paper No. 153, 13 p. (2019; Zbl 1428.35353) Full Text: DOI
Hu, Weiwei; Wu, Jiahong An approximating approach for boundary control of optimal mixing via Navier-Stokes flows. (English) Zbl 1428.35642 J. Differ. Equations 267, No. 10, 5809-5850 (2019). MSC: 35Q93 35B65 35Q35 49J20 49K20 76B03 76B75 76F25 PDFBibTeX XMLCite \textit{W. Hu} and \textit{J. Wu}, J. Differ. Equations 267, No. 10, 5809--5850 (2019; Zbl 1428.35642) Full Text: DOI
Dong, Bo-Qing; Wu, Jiahong; Ye, Zhuan Global regularity for a 2D tropical climate model with fractional dissipation. (English) Zbl 1415.86028 J. Nonlinear Sci. 29, No. 2, 511-550 (2019). MSC: 86A10 35Q86 35Q35 35D35 35B65 76D03 35R11 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., J. Nonlinear Sci. 29, No. 2, 511--550 (2019; Zbl 1415.86028) Full Text: DOI
Dong, Bo-Qing; Wang, Wenjuan; Wu, Jiahong; Ye, Zhuan; Zhang, Hui Global regularity for a class of 2D generalized tropical climate models. (English) Zbl 1412.35249 J. Differ. Equations 266, No. 10, 6346-6382 (2019). MSC: 35Q35 35B40 35B65 76B03 86A10 35R11 42B25 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., J. Differ. Equations 266, No. 10, 6346--6382 (2019; Zbl 1412.35249) Full Text: DOI
Zhou, Daoguo; Li, Zilai; Shang, Haifeng; Wu, Jiahong; Yuan, Baoquan; Zhao, Jiefeng Global well-posedness for the 2D fractional Boussinesq equations in the subcritical case. (English) Zbl 1456.35174 Pac. J. Math. 298, No. 1, 233-255 (2019). Reviewer: Georg V. Jaiani (Tbilisi) MSC: 35Q35 35B65 35A01 35A02 76A10 35R11 PDFBibTeX XMLCite \textit{D. Zhou} et al., Pac. J. Math. 298, No. 1, 233--255 (2019; Zbl 1456.35174) Full Text: DOI
Dong, Boqing; Wang, Wenjuan; Wu, Jiahong; Zhang, Hui Global regularity results for the climate model with fractional dissipation. (English) Zbl 1406.35270 Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 211-229 (2019). MSC: 35Q35 35B65 76B03 35R11 35A01 PDFBibTeX XMLCite \textit{B. Dong} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 1, 211--229 (2019; Zbl 1406.35270) Full Text: DOI
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation. (English) Zbl 1403.35246 J. Differ. Equations 266, No. 1, 630-652 (2019). MSC: 35Q35 76D03 35B65 76W05 35R11 PDFBibTeX XMLCite \textit{W. Yang} et al., J. Differ. Equations 266, No. 1, 630--652 (2019; Zbl 1403.35246) Full Text: DOI
Wu, Jiahong The 2D magnetohydrodynamic equations with partial or fractional dissipation. (English) Zbl 1405.76069 Chemin, Jean-Yves (ed.) et al., Lectures on the analysis of nonlinear partial differential equations. Part 5. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-357-9/pbk). Morningside Lectures in Mathematics 5, 283-332 (2018). MSC: 76W05 76D03 76B03 35Q35 PDFBibTeX XMLCite \textit{J. Wu}, Morningside Lect. Math. 5, 283--332 (2018; Zbl 1405.76069)
Dong, Bo-Qing; Jia, Yan; Li, Jingna; Wu, Jiahong Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion. (English) Zbl 1406.35269 J. Math. Fluid Mech. 20, No. 4, 1541-1565 (2018). MSC: 35Q35 35B40 35B65 76D03 35A02 76W05 35R11 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., J. Math. Fluid Mech. 20, No. 4, 1541--1565 (2018; Zbl 1406.35269) Full Text: DOI
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong The 3D incompressible Boussinesq equations with fractional partial dissipation. (English) Zbl 1404.35373 Commun. Math. Sci. 16, No. 3, 617-633 (2018). MSC: 35Q35 76D03 35B65 35B44 35Q86 35R11 86A05 35A01 35A02 PDFBibTeX XMLCite \textit{W. Yang} et al., Commun. Math. Sci. 16, No. 3, 617--633 (2018; Zbl 1404.35373) Full Text: DOI
Hu, Weiwei; Wang, Yanzhen; Wu, Jiahong; Xiao, Bei; Yuan, Jia Partially dissipative 2D Boussinesq equations with Navier type boundary conditions. (English) Zbl 1398.35007 Physica D 376-377, 39-48 (2018). MSC: 35A01 35A02 35Q86 35D35 PDFBibTeX XMLCite \textit{W. Hu} et al., Physica D 376--377, 39--48 (2018; Zbl 1398.35007) Full Text: DOI
Dong, Bo-Qing; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity for the 2D micropolar equations with fractional dissipation. (English) Zbl 1397.35204 Discrete Contin. Dyn. Syst. 38, No. 8, 4133-4162 (2018). MSC: 35Q35 35B65 76A10 76B03 35B45 35R11 76U05 PDFBibTeX XMLCite \textit{B.-Q. Dong} et al., Discrete Contin. Dyn. Syst. 38, No. 8, 4133--4162 (2018; Zbl 1397.35204) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion. (English. French summary) Zbl 1392.35240 J. Math. Pures Appl. (9) 115, 187-217 (2018). MSC: 35Q35 35B65 76D03 35B45 35R11 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Math. Pures Appl. (9) 115, 187--217 (2018; Zbl 1392.35240) Full Text: DOI
Jiu, Quansen; Liu, Jitao; Wu, Jiahong; Yu, Huan On the initial- and boundary-value problem for 2D micropolar equations with only angular velocity dissipation. (English) Zbl 1386.35342 Z. Angew. Math. Phys. 68, No. 5, Paper No. 107, 24 p. (2017). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Z. Angew. Math. Phys. 68, No. 5, Paper No. 107, 24 p. (2017; Zbl 1386.35342) Full Text: DOI arXiv
Li, Jingna; Dong, Bo-Qing; Wu, Jiahong Global regularity results for four systems of 2D MHD equations with partial dissipation. (English) Zbl 1386.35343 Electron. J. Differ. Equ. 2017, Conf. 24, 35-46 (2017). MSC: 35Q35 35B65 76B03 PDFBibTeX XMLCite \textit{J. Li} et al., Electron. J. Differ. Equ. 2017, 35--46 (2017; Zbl 1386.35343) Full Text: Link
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global regularity for several incompressible fluid models with partial dissipation. (English) Zbl 1379.35255 J. Math. Fluid Mech. 19, No. 3, 423-444 (2017). MSC: 35Q35 35B45 35B65 76D03 76D09 35Q31 86A05 26A33 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Math. Fluid Mech. 19, No. 3, 423--444 (2017; Zbl 1379.35255) Full Text: DOI
Wu, Jiahong; Wu, Yifei Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion. (English) Zbl 1372.35252 Adv. Math. 310, 759-888 (2017). Reviewer: Gheorghe Moroşanu (Budapest) MSC: 35Q35 76W05 35B65 PDFBibTeX XMLCite \textit{J. Wu} and \textit{Y. Wu}, Adv. Math. 310, 759--888 (2017; Zbl 1372.35252) Full Text: DOI arXiv
Li, Jingna; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Regularity criteria for the 2D Boussinesq equations with supercritical dissipation. (English) Zbl 1355.35152 Commun. Math. Sci. 14, No. 7, 1999-2022 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q35 35B65 76B03 PDFBibTeX XMLCite \textit{J. Li} et al., Commun. Math. Sci. 14, No. 7, 1999--2022 (2016; Zbl 1355.35152) Full Text: DOI
Wu, Jiahong; Xu, Xiaojing; Xue, Liutang; Ye, Zhuan Regularity results for the 2D Boussinesq equations with critical or supercritical dissipation. (English) Zbl 1358.35136 Commun. Math. Sci. 14, No. 7, 1963-1997 (2016). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q35 35B65 76D03 PDFBibTeX XMLCite \textit{J. Wu} et al., Commun. Math. Sci. 14, No. 7, 1963--1997 (2016; Zbl 1358.35136) Full Text: DOI
Jiu, Quansen; Niu, Dongjuan; Wu, Jiahong; Xu, Xiaojing; Yu, Huan The 2D magnetohydrodynamic equations with magnetic diffusion. (English) Zbl 1328.76076 Nonlinearity 28, No. 11, 3935-3955 (2015). MSC: 76W05 76D03 35Q35 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Nonlinearity 28, No. 11, 3935--3955 (2015; Zbl 1328.76076) Full Text: DOI
Wu, Jiahong; Wu, Yifei; Xu, Xiaojing Global small solution to the 2D MHD system with a velocity damping term. (English) Zbl 1366.35145 SIAM J. Math. Anal. 47, No. 4, 2630-2656 (2015). MSC: 35Q35 35B65 76D03 76W05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Wu} et al., SIAM J. Math. Anal. 47, No. 4, 2630--2656 (2015; Zbl 1366.35145) Full Text: DOI arXiv
Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan Global smooth solutions to the \(n\)-dimensional damped models of incompressible fluid mechanics with small initial datum. (English) Zbl 1311.35236 J. Nonlinear Sci. 25, No. 1, 157-192 (2015). MSC: 35Q35 35B35 35B65 76D03 76W05 35Q86 86A10 76E06 PDFBibTeX XMLCite \textit{J. Wu} et al., J. Nonlinear Sci. 25, No. 1, 157--192 (2015; Zbl 1311.35236) Full Text: DOI
Jiu, Quansen; Wu, Jiahong; Yang, Wanrong Eventual regularity of the two-dimensional Boussinesq equations with supercritical dissipation. (English) Zbl 1311.35221 J. Nonlinear Sci. 25, No. 1, 37-58 (2015). MSC: 35Q35 76D03 35B65 35D30 26A33 PDFBibTeX XMLCite \textit{Q. Jiu} et al., J. Nonlinear Sci. 25, No. 1, 37--58 (2015; Zbl 1311.35221) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Math. Methods Appl. Sci. 38, No. 3, 548--558 (2015; Zbl 1307.35226) Full Text: DOI
Chae, Dongho; Constantin, Peter; Wu, Jiahong Erratum to: “An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations”. (English) Zbl 1315.35159 J. Math. Fluid Mech. 16, No. 3, 481 (2014). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{D. Chae} et al., J. Math. Fluid Mech. 16, No. 3, 481 (2014; Zbl 1315.35159) Full Text: DOI
Chae, Dongho; Constantin, Peter; Wu, Jiahong An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations. (English) Zbl 1307.35213 J. Math. Fluid Mech. 16, No. 3, 473-480 (2014); erratum ibid. 16, No. 3, 481 (2014). MSC: 35Q35 76D03 PDFBibTeX XMLCite \textit{D. Chae} et al., J. Math. Fluid Mech. 16, No. 3, 473--480 (2014; Zbl 1307.35213) Full Text: DOI arXiv
Jiu, Quansen; Miao, Changxing; Wu, Jiahong; Zhang, Zhifei The two-dimensional incompressible Boussinesq equations with general critical dissipation. (English) Zbl 1319.35193 SIAM J. Math. Anal. 46, No. 5, 3426-3454 (2014). Reviewer: Pavel Burda (Praha) MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{Q. Jiu} et al., SIAM J. Math. Anal. 46, No. 5, 3426--3454 (2014; Zbl 1319.35193) Full Text: DOI arXiv Link
Wu, Jiahong; Xu, Xiaojing Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1301.35115 Nonlinearity 27, No. 9, 2215-2232 (2014). MSC: 35Q35 35B35 35B65 76D03 35R11 86A05 PDFBibTeX XMLCite \textit{J. Wu} and \textit{X. Xu}, Nonlinearity 27, No. 9, 2215--2232 (2014; Zbl 1301.35115) Full Text: DOI Link
Yang, Wanrong; Jiu, Quansen; Wu, Jiahong Global well-posedness for a class of 2D Boussinesq systems with fractional dissipation. (English) Zbl 1300.35108 J. Differ. Equations 257, No. 11, 4188-4213 (2014). MSC: 35Q35 76D03 35B65 26A33 35R11 PDFBibTeX XMLCite \textit{W. Yang} et al., J. Differ. Equations 257, No. 11, 4188--4213 (2014; Zbl 1300.35108) Full Text: DOI
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. (English) Zbl 1293.35233 SIAM J. Math. Anal. 46, No. 1, 588-602 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q35 35B35 35B65 76D03 76W05 PDFBibTeX XMLCite \textit{C. Cao} et al., SIAM J. Math. Anal. 46, No. 1, 588--602 (2014; Zbl 1293.35233) Full Text: DOI arXiv
KC, Durga; Regmi, Dipendra; Tao, Lizheng; Wu, Jiahong Generalized 2D Euler-Boussinesq equations with a singular velocity. (English) Zbl 1291.35221 J. Differ. Equations 257, No. 1, 82-108 (2014). MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{D. KC} et al., J. Differ. Equations 257, No. 1, 82--108 (2014; Zbl 1291.35221) Full Text: DOI
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing Small global solutions to the damped two-dimensional Boussinesq equations. (English) Zbl 1290.35193 J. Differ. Equations 256, No. 11, 3594-3613 (2014). Reviewer: Cheng He (Beijing) MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{D. Adhikari} et al., J. Differ. Equations 256, No. 11, 3594--3613 (2014; Zbl 1290.35193) Full Text: DOI arXiv
Chae, Dongho; Wu, Jiahong Logarithmically regularized inviscid models in borderline Sobolev spaces. (English) Zbl 1329.76027 J. Math. Phys. 53, No. 11, 115601, 15 p. (2012). MSC: 76B03 35B30 35Q35 76B47 86A05 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wu}, J. Math. Phys. 53, No. 11, 115601, 15 p. (2012; Zbl 1329.76027) Full Text: DOI Link
Chae, Dongho; Constantin, Peter; Wu, Jiahong Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations. (English) Zbl 1288.35416 Indiana Univ. Math. J. 61, No. 5, 1997-2018 (2012). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q53 35B65 76D03 35Q30 PDFBibTeX XMLCite \textit{D. Chae} et al., Indiana Univ. Math. J. 61, No. 5, 1997--2018 (2012; Zbl 1288.35416) Full Text: DOI arXiv Link
Chae, Dongho; Constantin, Peter; Wu, Jiahong Deformation and symmetry in the inviscid SQG and the 3D Euler equations. (English) Zbl 1253.35109 J. Nonlinear Sci. 22, No. 5, 665-688 (2012). MSC: 35Q31 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{D. Chae} et al., J. Nonlinear Sci. 22, No. 5, 665--688 (2012; Zbl 1253.35109) Full Text: DOI
Chae, Dongho; Constantin, Peter; Córdoba, Diego; Gancedo, Francisco; Wu, Jiahong Generalized surface quasi-geostrophic equations with singular velocities. (English) Zbl 1244.35108 Commun. Pure Appl. Math. 65, No. 8, 1037-1066 (2012). MSC: 35Q35 35D30 35A02 PDFBibTeX XMLCite \textit{D. Chae} et al., Commun. Pure Appl. Math. 65, No. 8, 1037--1066 (2012; Zbl 1244.35108) Full Text: DOI arXiv
Chae, Dongho; Wu, Jiahong The 2D Boussinesq equations with logarithmically supercritical velocities. (English) Zbl 1248.35156 Adv. Math. 230, No. 4-6, 1618-1645 (2012). MSC: 35Q35 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{D. Chae} and \textit{J. Wu}, Adv. Math. 230, No. 4--6, 1618--1645 (2012; Zbl 1248.35156) Full Text: DOI arXiv
Khanal, Netra; Wu, Jiahong; Yuan, Juan-Ming Fifth-order complex Korteweg-de Vries-type equations. (English) Zbl 1239.35140 J. Phys. A, Math. Theor. 45, No. 20, Article ID 205202, 17 p. (2012). MSC: 35Q53 35B44 35B65 76D03 35C10 PDFBibTeX XMLCite \textit{N. Khanal} et al., J. Phys. A, Math. Theor. 45, No. 20, Article ID 205202, 17 p. (2012; Zbl 1239.35140) Full Text: DOI
Jiu, Quansen; Niu, Dongjuan; Wu, Jiahong Vanishing viscosity limits for the degenerate lake equations with Navier boundary conditions. (English) Zbl 1236.35106 Nonlinearity 25, No. 3, 641-655 (2012). MSC: 35Q30 76D03 76D09 35D40 35D30 PDFBibTeX XMLCite \textit{Q. Jiu} et al., Nonlinearity 25, No. 3, 641--655 (2012; Zbl 1236.35106) Full Text: DOI arXiv
Tao, Lizheng; Wu, Jiahong A study on the global regularity for a model of the 3D axisymmetric Navier-Stokes equations. (English) Zbl 1234.35186 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3092-3098 (2012). MSC: 35Q30 35Q31 35B35 35B65 76D03 PDFBibTeX XMLCite \textit{L. Tao} and \textit{J. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3092--3098 (2012; Zbl 1234.35186) Full Text: DOI
Chae, Dongho; Constantin, Peter; Wu, Jiahong Inviscid models generalizing the two-dimensional Euler and the surface quasi-geostrophic equations. (English) Zbl 1266.76010 Arch. Ration. Mech. Anal. 202, No. 1, 35-62 (2011). MSC: 76B03 35Q31 PDFBibTeX XMLCite \textit{D. Chae} et al., Arch. Ration. Mech. Anal. 202, No. 1, 35--62 (2011; Zbl 1266.76010) Full Text: DOI arXiv
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong Global regularity results for the 2D Boussinesq equations with vertical dissipation. (English) Zbl 1232.35111 J. Differ. Equations 251, No. 6, 1637-1655 (2011). Reviewer: A. D. Osborne (Keele) MSC: 35Q30 35B45 35B65 76D03 76D09 35A01 35A02 PDFBibTeX XMLCite \textit{D. Adhikari} et al., J. Differ. Equations 251, No. 6, 1637--1655 (2011; Zbl 1232.35111) Full Text: DOI
Cao, Chongsheng; Wu, Jiahong Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. (English) Zbl 1213.35159 Adv. Math. 226, No. 2, 1803-1822 (2011). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35B65 35Q35 76W05 35A02 PDFBibTeX XMLCite \textit{C. Cao} and \textit{J. Wu}, Adv. Math. 226, No. 2, 1803--1822 (2011; Zbl 1213.35159) Full Text: DOI arXiv
Khanal, Netra; Wu, Jiahong; Yuan, Juan-Ming; Zhang, Bing-Yu Complex-valued Burgers and KdV-Burgers equations. (English) Zbl 1193.35192 J. Nonlinear Sci. 20, No. 3, 341-360 (2010). MSC: 35Q53 35B35 35B65 76D03 76M40 PDFBibTeX XMLCite \textit{N. Khanal} et al., J. Nonlinear Sci. 20, No. 3, 341--360 (2010; Zbl 1193.35192) Full Text: DOI arXiv
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. (English) Zbl 1193.35144 J. Differ. Equations 249, No. 5, 1078-1088 (2010). MSC: 35Q35 35B65 76D03 76R50 PDFBibTeX XMLCite \textit{D. Adhikari} et al., J. Differ. Equations 249, No. 5, 1078--1088 (2010; Zbl 1193.35144) Full Text: DOI
Chen, Wengu; Li, Junfeng; Miao, Changxing; Wu, Jiahong Low regularity solutions of two fifth-order KdV type equations. (English) Zbl 1181.35229 J. Anal. Math. 107, 221-238 (2009). MSC: 35Q53 35A01 35A02 35B45 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Anal. Math. 107, 221--238 (2009; Zbl 1181.35229) Full Text: DOI arXiv
Constantin, Peter; Wu, Jiahong Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations. (English) Zbl 1163.76010 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 159-180 (2009). MSC: 76D03 35Q35 PDFBibTeX XMLCite \textit{P. Constantin} and \textit{J. Wu}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 1, 159--180 (2009; Zbl 1163.76010) Full Text: DOI arXiv EuDML
Constantin, Peter; Iyer, Gautam; Wu, Jiahong Global regularity for a modified critical dissipative quasi-geostrophic equation. (English) Zbl 1159.35059 Indiana Univ. Math. J. 57, No. 6, 2681-2692 (2008). MSC: 35Q35 76B47 76B03 86A05 PDFBibTeX XMLCite \textit{P. Constantin} et al., Indiana Univ. Math. J. 57, No. 6, 2681--2692 (2008; Zbl 1159.35059) Full Text: DOI arXiv
Wu, Jiahong Existence and uniqueness results for the 2-D dissipative quasi-geostrophic equation. (English) Zbl 1122.76014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3013-3036 (2007). MSC: 76B03 35Q35 PDFBibTeX XMLCite \textit{J. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 11, 3013--3036 (2007; Zbl 1122.76014) Full Text: DOI
Wu, Jiahong Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces. (English) Zbl 1104.35037 Commun. Math. Phys. 263, No. 3, 803-831 (2006). MSC: 35Q30 76D03 26A33 76D05 37L05 PDFBibTeX XMLCite \textit{J. Wu}, Commun. Math. Phys. 263, No. 3, 803--831 (2006; Zbl 1104.35037) Full Text: DOI
Alazman, A. A.; Albert, J. P.; Bona, J. L.; Chen, M.; Wu, J. Comparisons between the BBM equation and a Boussinesq system. (English) Zbl 1104.35039 Adv. Differ. Equ. 11, No. 2, 121-166 (2006). MSC: 35Q35 65R20 76B15 76B03 76B07 76B25 31A10 PDFBibTeX XMLCite \textit{A. A. Alazman} et al., Adv. Differ. Equ. 11, No. 2, 121--166 (2006; Zbl 1104.35039)
Wu, Jiahong Solutions of the 2D quasi-geostrophic equation in Hölder spaces. (English) Zbl 1116.35348 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 579-594 (2005). MSC: 35Q35 76B03 76U05 PDFBibTeX XMLCite \textit{J. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 4, 579--594 (2005; Zbl 1116.35348) Full Text: DOI
Wu, Jiahong The two-dimensional quasi-geostrophic equation with critical or supercritical dissipation. (English) Zbl 1067.35002 Nonlinearity 18, No. 1, 139-154 (2005). MSC: 35A05 35S10 35Q35 76D03 76V05 PDFBibTeX XMLCite \textit{J. Wu}, Nonlinearity 18, No. 1, 139--154 (2005; Zbl 1067.35002) Full Text: DOI
Wu, Jiahong Global solutions of the 2D dissipative quasi-geostrophic equation in Besov spaces. (English) Zbl 1083.76064 SIAM J. Math. Anal. 36, No. 3, 1014-1030 (2005). MSC: 76U05 76B03 35Q35 PDFBibTeX XMLCite \textit{J. Wu}, SIAM J. Math. Anal. 36, No. 3, 1014--1030 (2005; Zbl 1083.76064) Full Text: DOI
Wu, Jiahong The generalized incompressible Navier-Stokes equations in Besov spaces. (English) Zbl 1075.35043 Dyn. Partial Differ. Equ. 1, No. 4, 381-400 (2004). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76D03 PDFBibTeX XMLCite \textit{J. Wu}, Dyn. Partial Differ. Equ. 1, No. 4, 381--400 (2004; Zbl 1075.35043) Full Text: DOI
Wu, Jiahong Generalized MHD equations. (English) Zbl 1057.35040 J. Differ. Equations 195, No. 2, 284-312 (2003). Reviewer: Michael Bildhauer (Saarbrücken) MSC: 35Q35 76W05 76D03 PDFBibTeX XMLCite \textit{J. Wu}, J. Differ. Equations 195, No. 2, 284--312 (2003; Zbl 1057.35040) Full Text: DOI