Qu, Shiduo; Gao, Hongjun The high-order approximation of SPDEs with multiplicative noise via amplitude equations. (English) Zbl 07822403 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107937, 21 p. (2024). MSC: 60H15 35R60 60H10 PDFBibTeX XMLCite \textit{S. Qu} and \textit{H. Gao}, Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107937, 21 p. (2024; Zbl 07822403) Full Text: DOI arXiv
Chen, Yong; Zhang, Shuolin; Gao, Hongjun Probabilistic global well-posedness to the nonlocal Degasperis-Procesi equation. (English) Zbl 07803697 Stat. Probab. Lett. 206, Article ID 110000, 9 p. (2024). MSC: 60H15 60H40 35L70 35R11 PDFBibTeX XMLCite \textit{Y. Chen} et al., Stat. Probab. Lett. 206, Article ID 110000, 9 p. (2024; Zbl 07803697) Full Text: DOI
Ma, Hongyan; Gao, Hongjun Unstable manifolds for rough evolution equations. (English) Zbl 1525.37081 Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 159, 36 p. (2023). MSC: 37L55 37L25 37L15 37H10 37D10 60H15 60H05 PDFBibTeX XMLCite \textit{H. Ma} and \textit{H. Gao}, Bull. Malays. Math. Sci. Soc. (2) 46, No. 5, Paper No. 159, 36 p. (2023; Zbl 1525.37081) Full Text: DOI
Chen, Yong; Duan, Jinqiao; Gao, Hongjun Well-posedness and wave-breaking for the stochastic rotation-two-component Camassa-Holm system. (English) Zbl 1522.60054 Ann. Appl. Probab. 33, No. 4, 2734-2785 (2023). Reviewer: Martin Ondreját (Praha) MSC: 60H15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Ann. Appl. Probab. 33, No. 4, 2734--2785 (2023; Zbl 1522.60054) Full Text: DOI Link
Shi, Yangyang; Gao, Hongjun Homogenization for stochastic Ginzburg-Landau equation on the half-line with fast boundary fluctuation. (English) Zbl 07686680 J. Math. Anal. Appl. 525, No. 2, Article ID 127198, 22 p. (2023). MSC: 60H15 35R60 35Q55 37N10 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{H. Gao}, J. Math. Anal. Appl. 525, No. 2, Article ID 127198, 22 p. (2023; Zbl 07686680) Full Text: DOI
Cao, Qiyong; Gao, Hongjun; Schmalfuss, Björn Wong-Zakai type approximations of rough random dynamical systems by smooth noise. (English) Zbl 1527.60039 J. Differ. Equations 358, 218-255 (2023). MSC: 60H10 34F05 37H05 PDFBibTeX XMLCite \textit{Q. Cao} et al., J. Differ. Equations 358, 218--255 (2023; Zbl 1527.60039) Full Text: DOI arXiv
Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun On the Campanato and Hölder regularity of local and nonlocal stochastic diffusion equations. (English) Zbl 1501.60034 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1244-1266 (2023). MSC: 60H15 60H40 35K20 35B65 PDFBibTeX XMLCite \textit{G. Lv} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1244--1266 (2023; Zbl 1501.60034) Full Text: DOI
Ma, Hongyan; Gao, Hongjun Unstable manifolds for rough evolution equations. (English) Zbl 1514.37072 Stoch. Dyn. 22, No. 8, Article ID 2240033, 33 p. (2022). MSC: 37H30 37D10 60L20 60L50 PDFBibTeX XMLCite \textit{H. Ma} and \textit{H. Gao}, Stoch. Dyn. 22, No. 8, Article ID 2240033, 33 p. (2022; Zbl 1514.37072) Full Text: DOI arXiv
Gao, Hongjun; Nečasová, Šárka; Tang, Tong On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations-rigorous justification. (English) Zbl 1492.35182 J. Math. Fluid Mech. 24, No. 3, Paper No. 86, 17 p. (2022). MSC: 35Q30 35Q86 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Math. Fluid Mech. 24, No. 3, Paper No. 86, 17 p. (2022; Zbl 1492.35182) Full Text: DOI
Sun, Chengfeng; Gao, Hongjun; Liu, Hui; Zhang, Jie Martingale solutions of the stochastic 2D primitive equations with anisotropic viscosity. (English) Zbl 1490.35507 ESAIM, Probab. Stat. 26, 243-264 (2022). MSC: 35Q86 86A10 35Q35 76D05 60H15 60H30 60H40 35A01 35A02 35R60 PDFBibTeX XMLCite \textit{C. Sun} et al., ESAIM, Probab. Stat. 26, 243--264 (2022; Zbl 1490.35507) Full Text: DOI
Shi, Yangyang; Gao, Hongjun Homogenization for stochastic reaction-diffusion equations with singular perturbation term. (English) Zbl 1493.60102 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401-2426 (2022). Reviewer: Jing Cui (Wuhu) MSC: 60H15 70K70 37A25 35R60 35K57 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2401--2426 (2022; Zbl 1493.60102) Full Text: DOI
Shi, Yangyang; Gao, Hongjun Weak and strong averaging principle for a stochastic coupled fast-slow atmosphere-ocean model with non-Lipschitz Lévy noise. (English) Zbl 1492.37078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112794, 34 p. (2022). MSC: 37N10 70K65 70K70 60H15 86A05 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{H. Gao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 218, Article ID 112794, 34 p. (2022; Zbl 1492.37078) Full Text: DOI
Chen, Yong; Duan, Jinqiao; Gao, Hongjun Wave-breaking and moderate deviations of the stochastic Camassa-Holm equation with pure jump noise. (English) Zbl 1489.60109 Physica D 424, Article ID 132944, 12 p. (2021). MSC: 60H15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Physica D 424, Article ID 132944, 12 p. (2021; Zbl 1489.60109) Full Text: DOI
Fan, Lili; Gao, Hongjun; Wang, Junfang; Yan, Wei The Cauchy problem for fractional Camassa-Holm equation in Besov space. (English) Zbl 1513.35522 Nonlinear Anal., Real World Appl. 61, Article ID 103348, 23 p. (2021). Reviewer: Angela Slavova (Sofia) MSC: 35R11 30H25 49K40 35B44 PDFBibTeX XMLCite \textit{L. Fan} et al., Nonlinear Anal., Real World Appl. 61, Article ID 103348, 23 p. (2021; Zbl 1513.35522) Full Text: DOI arXiv
Gao, Hongjun; Nečasová, Šárka; Tang, Tong On the hydrostatic approximation of compressible anisotropic Navier-Stokes equations. (Sur l’approximation hydrostatique des équations de Navier-Stokes anisotropes compressibles.) (English. French summary) Zbl 1486.35326 C. R., Math., Acad. Sci. Paris 359, No. 6, 639-644 (2021). MSC: 35Q30 35Q86 76N10 86A10 PDFBibTeX XMLCite \textit{H. Gao} et al., C. R., Math., Acad. Sci. Paris 359, No. 6, 639--644 (2021; Zbl 1486.35326) Full Text: DOI arXiv
Lv, Guangying; Gao, Hongjun; Wei, Jinlong Kinetic solutions for nonlocal stochastic conservation laws. (English) Zbl 1498.60265 Fract. Calc. Appl. Anal. 24, No. 2, 559-584 (2021). MSC: 60H15 37L55 PDFBibTeX XMLCite \textit{G. Lv} et al., Fract. Calc. Appl. Anal. 24, No. 2, 559--584 (2021; Zbl 1498.60265) Full Text: DOI arXiv
Gao, Hongjun; Shi, Yangyang Averaging principle for a stochastic coupled fast-slow atmosphere-ocean model. (English) Zbl 1476.37098 J. Differ. Equations 298, 248-297 (2021). MSC: 37N10 60H15 70K65 70K70 86A10 PDFBibTeX XMLCite \textit{H. Gao} and \textit{Y. Shi}, J. Differ. Equations 298, 248--297 (2021; Zbl 1476.37098) Full Text: DOI
Gao, H.; Garrido-Atienza, M. J.; Gu, A.; Lu, K.; Schmalfuß, B. Rough path theory to approximate random dynamical systems. (English) Zbl 1475.60102 SIAM J. Appl. Dyn. Syst. 20, No. 2, 997-1021 (2021). MSC: 60H10 34F05 37H05 60L20 PDFBibTeX XMLCite \textit{H. Gao} et al., SIAM J. Appl. Dyn. Syst. 20, No. 2, 997--1021 (2021; Zbl 1475.60102) Full Text: DOI arXiv
Mao, Lei; Gao, Hongjun The Cauchy problem for generalized fractional Camassa-Holm equation in Besov space. (English) Zbl 1467.35291 Monatsh. Math. 195, No. 3, 451-475 (2021). MSC: 35Q53 35B30 35G25 35A01 35A02 35B44 35R11 PDFBibTeX XMLCite \textit{L. Mao} and \textit{H. Gao}, Monatsh. Math. 195, No. 3, 451--475 (2021; Zbl 1467.35291) Full Text: DOI
Liu, Hui; Gao, Hongjun Existence of strong solutions for the generalized nonhomogeneous Navier-Stokes-Landau-Lifshitz system. (English) Zbl 1464.35243 Z. Angew. Math. Phys. 72, No. 2, Paper No. 47, 18 p. (2021). MSC: 35Q35 35Q30 35B65 35D35 76D05 35A01 35A02 PDFBibTeX XMLCite \textit{H. Liu} and \textit{H. Gao}, Z. Angew. Math. Phys. 72, No. 2, Paper No. 47, 18 p. (2021; Zbl 1464.35243) Full Text: DOI
Fan, Lili; Gao, Hongjun On three-dimensional geophysical capillary-gravity water flows with constant vorticity. (English) Zbl 1460.35281 Ann. Mat. Pura Appl. (4) 200, No. 2, 711-720 (2021). MSC: 35Q35 35Q86 76B45 76U05 86A05 86A10 35R35 PDFBibTeX XMLCite \textit{L. Fan} and \textit{H. Gao}, Ann. Mat. Pura Appl. (4) 200, No. 2, 711--720 (2021; Zbl 1460.35281) Full Text: DOI
Sun, Yaqing; Gao, Hongjun Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains. (English) Zbl 1483.37096 J. Appl. Anal. Comput. 10, No. 6, 2338-2361 (2020). MSC: 37L55 37L30 60H15 35R60 35R11 35K57 26A33 PDFBibTeX XMLCite \textit{Y. Sun} and \textit{H. Gao}, J. Appl. Anal. Comput. 10, No. 6, 2338--2361 (2020; Zbl 1483.37096) Full Text: DOI
Gao, Hongjun; Nečasová, Šárka; Tang, Tong On weak-strong uniqueness and singular limit for the compressible primitive equations. (English) Zbl 1434.35052 Discrete Contin. Dyn. Syst. 40, No. 7, 4287-4305 (2020). MSC: 35Q30 76N06 PDFBibTeX XMLCite \textit{H. Gao} et al., Discrete Contin. Dyn. Syst. 40, No. 7, 4287--4305 (2020; Zbl 1434.35052) Full Text: DOI arXiv
Lv, Guangying; Duan, Jinqiao; Gao, Hongjun Stochastic nonlocal conservation laws on whole space. (English) Zbl 1442.60066 Comput. Math. Appl. 77, No. 7, 1945-1962 (2019). MSC: 60H15 35R60 35R11 PDFBibTeX XMLCite \textit{G. Lv} et al., Comput. Math. Appl. 77, No. 7, 1945--1962 (2019; Zbl 1442.60066) Full Text: DOI
Chen, Yong; Gao, Hongjun; Huang, Jianhua Periodic stochastic high-order Degasperis-Procesi equation with cylindrical fBm. (English) Zbl 1434.60149 Stoch. Dyn. 19, No. 6, Article ID 1950043, 19 p. (2019). MSC: 60H15 60H40 35L70 PDFBibTeX XMLCite \textit{Y. Chen} et al., Stoch. Dyn. 19, No. 6, Article ID 1950043, 19 p. (2019; Zbl 1434.60149) Full Text: DOI
Tang, Tong; Gao, Hongjun; Xiao, Qingkun On global existence of weak solutions to a viscous capillary model of plasma. (English) Zbl 1416.35216 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 185, 1-14 (2019). MSC: 35Q35 35Q40 PDFBibTeX XMLCite \textit{T. Tang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 185, 1--14 (2019; Zbl 1416.35216) Full Text: DOI
Lv, Guangying; Gao, Hongjun; Wei, Jinlong; Wu, Jiang-Lun BMO and Morrey-Campanato estimates for stochastic convolutions and Schauder estimates for stochastic parabolic equations. (English) Zbl 1427.60129 J. Differ. Equations 266, No. 5, 2666-2717 (2019). MSC: 60H15 60H40 35R60 30H35 PDFBibTeX XMLCite \textit{G. Lv} et al., J. Differ. Equations 266, No. 5, 2666--2717 (2019; Zbl 1427.60129) Full Text: DOI
Gao, Xiancheng; Gao, Hongjun The local exponential stability of evolution equation driven by Hölder-continuous paths. (English) Zbl 1489.34084 Appl. Math. Lett. 84, 84-89 (2018). MSC: 34G10 34F05 34D20 60G22 47D06 60J65 PDFBibTeX XMLCite \textit{X. Gao} and \textit{H. Gao}, Appl. Math. Lett. 84, 84--89 (2018; Zbl 1489.34084) Full Text: DOI
Tang, Tong; Gao, Hongjun On the Euler-Korteweg system with free boundary condition. (English) Zbl 1375.35403 Acta Appl. Math. 150, No. 1, 111-121 (2017). MSC: 35Q35 35Q40 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Acta Appl. Math. 150, No. 1, 111--121 (2017; Zbl 1375.35403) Full Text: DOI
Fan, Lili; Gao, Hongjun Steady periodic rotational gravity waves with negative surface tension. (English) Zbl 1372.35031 Japan J. Ind. Appl. Math. 34, No. 2, 531-554 (2017). MSC: 35B32 35Q31 35J25 76B15 76B45 76B47 PDFBibTeX XMLCite \textit{L. Fan} and \textit{H. Gao}, Japan J. Ind. Appl. Math. 34, No. 2, 531--554 (2017; Zbl 1372.35031) Full Text: DOI
Wang, Rong-Fang; Gao, Hong-Jun Nonlinear instability of Phillips model. (English) Zbl 1362.35042 Acta Math. Appl. Sin., Engl. Ser. 32, No. 3, 669-684 (2016). MSC: 35B35 76E20 35K52 35Q35 PDFBibTeX XMLCite \textit{R.-F. Wang} and \textit{H.-J. Gao}, Acta Math. Appl. Sin., Engl. Ser. 32, No. 3, 669--684 (2016; Zbl 1362.35042) Full Text: DOI
Tang, Tong; Gao, Hongjun On the compressible Navier-Stokes-Korteweg equations. (English) Zbl 1351.35150 Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2745-2766 (2016). MSC: 35Q35 76N10 35B35 35D30 35B44 35A01 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 8, 2745--2766 (2016; Zbl 1351.35150) Full Text: DOI
Tang, Tong; Gao, Hongjun Local strong solutions to the compressible viscous magnetohydrodynamic equations. (English) Zbl 1346.35165 Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1617-1633 (2016). MSC: 35Q35 76W05 76N10 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 5, 1617--1633 (2016; Zbl 1346.35165) Full Text: DOI
Chen, Yong; Gao, Hongjun Well-posedness and large deviations of the stochastic modified Camassa-Holm equation. (English) Zbl 1350.60055 Potential Anal. 45, No. 2, 331-354 (2016). Reviewer: Ruhollah Jahanipur (Kashan) MSC: 60H15 60F10 35R60 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, Potential Anal. 45, No. 2, 331--354 (2016; Zbl 1350.60055) Full Text: DOI
Tang, Tong; Gao, Hongjun Strong solutions to 3D compressible magnetohydrodynamic equations with Navier-slip condition. (English) Zbl 1344.35109 Math. Methods Appl. Sci. 39, No. 10, 2768-2782 (2016). MSC: 35Q35 35Q60 76W05 35D35 35B44 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Math. Methods Appl. Sci. 39, No. 10, 2768--2782 (2016; Zbl 1344.35109) Full Text: DOI
Chen, Yong; Gao, Hongjun; Fan, Lili Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model. (English) Zbl 1382.35344 Nonlinear Anal., Real World Appl. 29, 38-57 (2016). MSC: 35R60 35B30 35Q53 60F10 60H15 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Anal., Real World Appl. 29, 38--57 (2016; Zbl 1382.35344) Full Text: DOI
Chen, Yong; Gao, Hongjun Global existence for the stochastic Degasperis-Procesi equation. (English) Zbl 1335.60106 Discrete Contin. Dyn. Syst. 35, No. 11, 5171-5184 (2015). MSC: 60H15 35R60 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, Discrete Contin. Dyn. Syst. 35, No. 11, 5171--5184 (2015; Zbl 1335.60106) Full Text: DOI
Tang, Tong; Gao, Hongjun On the stability of weak solution for compressible primitive equations. (English) Zbl 1333.35214 Acta Appl. Math. 140, No. 1, 133-145 (2015). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q35 35D30 PDFBibTeX XMLCite \textit{T. Tang} and \textit{H. Gao}, Acta Appl. Math. 140, No. 1, 133--145 (2015; Zbl 1333.35214) Full Text: DOI
Chen, Yong; Gao, Hongjun The Cauchy problem for the Hartree equations under random influences. (English) Zbl 1326.60090 J. Differ. Equations 259, No. 10, 5192-5219 (2015). MSC: 60H15 35R60 60J45 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, J. Differ. Equations 259, No. 10, 5192--5219 (2015; Zbl 1326.60090) Full Text: DOI
Gao, Hongjun; Liang, Fei On the stochastic beam equation driven by a non-Gaussian Lévy process. (English) Zbl 1319.60139 Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1027-1045 (2014). Reviewer: Dora Seleši (Novi Sad) MSC: 60H15 60G51 35R60 35L70 35Q74 PDFBibTeX XMLCite \textit{H. Gao} and \textit{F. Liang}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 4, 1027--1045 (2014; Zbl 1319.60139) Full Text: DOI
Gao, Hongjun; Liang, Fei; Guo, Boling Stochastic wave equations with nonlinear damping and source terms. (English) Zbl 1274.60203 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 2, Article ID 1350013, 29 p. (2013). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 60H15 35L05 35L70 35R60 PDFBibTeX XMLCite \textit{H. Gao} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 2, Article ID 1350013, 29 p. (2013; Zbl 1274.60203) Full Text: DOI arXiv
Liang, Fei; Gao, Hongjun Global existence and blow-up of solutions for a nonlinear wave equation with memory. (English) Zbl 1275.35038 J. Inequal. Appl. 2012, Paper No. 33, 27 p. (2012). MSC: 35B40 35B44 35L71 35R09 35L20 PDFBibTeX XMLCite \textit{F. Liang} and \textit{H. Gao}, J. Inequal. Appl. 2012, Paper No. 33, 27 p. (2012; Zbl 1275.35038) Full Text: DOI
Fan, Jishan; Gao, Hongjun; Ogawa, Takayoshi; Takahashi, Futoshi A regularity criterion to the biharmonic map heat flow in \(\mathfrak R^{4}\). (English) Zbl 1257.35057 Math. Nachr. 285, No. 16, 1963-1968 (2012). MSC: 35B65 35K55 58E20 PDFBibTeX XMLCite \textit{J. Fan} et al., Math. Nachr. 285, No. 16, 1963--1968 (2012; Zbl 1257.35057) Full Text: DOI
Chen, Yong; Gao, Hongjun; Guo, Boling Well-posedness for stochastic Camassa-Holm equation. (English) Zbl 1248.60070 J. Differ. Equations 253, No. 8, 2353-2379 (2012). MSC: 60H15 35L05 35L70 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Differ. Equations 253, No. 8, 2353--2379 (2012; Zbl 1248.60070) Full Text: DOI
Fan, Jishan; Gao, Hongjun; Guo, Boling Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient. (English) Zbl 1228.76128 Math. Methods Appl. Sci. 34, No. 17, 2181-2188 (2011). MSC: 76N10 35B25 PDFBibTeX XMLCite \textit{J. Fan} et al., Math. Methods Appl. Sci. 34, No. 17, 2181--2188 (2011; Zbl 1228.76128) Full Text: DOI
Liang, Fei; Gao, Hongjun Global nonexistence of positive initial-energy solutions for coupled nonlinear wave equations with damping and source terms. (English) Zbl 1232.35008 Abstr. Appl. Anal. 2011, Article ID 760209, 14 p. (2011). Reviewer: Jan Lovíšek (Bratislava) MSC: 35A01 35B44 35G50 35L05 PDFBibTeX XMLCite \textit{F. Liang} and \textit{H. Gao}, Abstr. Appl. Anal. 2011, Article ID 760209, 14 p. (2011; Zbl 1232.35008) Full Text: DOI
Xiao, Qingkun; Gao, Hongjun Bifurcation analysis of a modified Swift-Hohenberg equation. (English) Zbl 1207.35051 Nonlinear Anal., Real World Appl. 11, No. 5, 4451-4464 (2010). MSC: 35B32 35K35 35K58 PDFBibTeX XMLCite \textit{Q. Xiao} and \textit{H. Gao}, Nonlinear Anal., Real World Appl. 11, No. 5, 4451--4464 (2010; Zbl 1207.35051) Full Text: DOI
Fan, Jishan; Gao, Hongjun Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity. (English) Zbl 1198.35008 Math. Nachr. 283, No. 8, 1134-1143 (2010). MSC: 35A02 35Q56 PDFBibTeX XMLCite \textit{J. Fan} and \textit{H. Gao}, Math. Nachr. 283, No. 8, 1134--1143 (2010; Zbl 1198.35008) Full Text: DOI
Fu, Xin-Chu; Chen, Zhan-He; Gao, Hongjun; Li, Chang-Pin; Liu, Zeng-Rong Chaotic sets of continuous and discontinuous maps. (English) Zbl 1181.37041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 399-408 (2010). MSC: 37D45 37B05 37B10 PDFBibTeX XMLCite \textit{X.-C. Fu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 399--408 (2010; Zbl 1181.37041) Full Text: DOI
Fan, Jishan; Gao, Hongjun; Guo, Boling Regularity criteria for the Navier-Stokes-Landau-Lifshitz system. (English) Zbl 1180.35406 J. Math. Anal. Appl. 363, No. 1, 29-37 (2010). MSC: 35Q30 76D05 76D03 35B35 PDFBibTeX XMLCite \textit{J. Fan} et al., J. Math. Anal. Appl. 363, No. 1, 29--37 (2010; Zbl 1180.35406) Full Text: DOI
Chen, Youpeng; Liu, Qilin; Gao, Hongjun Boundedness of global positive solutions of a porous medium equation with a moving localized source. (English) Zbl 1153.35048 J. Math. Anal. Appl. 333, No. 2, 1008-1023 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K57 35B45 35K20 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Math. Anal. Appl. 333, No. 2, 1008--1023 (2007; Zbl 1153.35048) Full Text: DOI
Chen, Yujuan; Gao, Hongjun Asymptotic blow-up behavior for a nonlocal degenerate parabolic equation. (English) Zbl 1113.35100 J. Math. Anal. Appl. 330, No. 2, 852-863 (2007). MSC: 35K60 35K65 45K05 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{H. Gao}, J. Math. Anal. Appl. 330, No. 2, 852--863 (2007; Zbl 1113.35100) Full Text: DOI
Gao, Hong-Jun; Zhao, Yu-Juan Asymptotic behaviour and exponential stability for thermoelastic problem with localized damping. (English) Zbl 1231.47038 Appl. Math. Mech., Engl. Ed. 27, No. 11, 1557-1568 (2006). MSC: 47D06 34G10 35B35 PDFBibTeX XMLCite \textit{H.-J. Gao} and \textit{Y.-J. Zhao}, Appl. Math. Mech., Engl. Ed. 27, No. 11, 1557--1568 (2006; Zbl 1231.47038) Full Text: DOI
Liu, Qilin; Li, Yuxiang; Gao, Hongjun Uniform blow-up rate for diffusion equations with localized nonlinear source. (English) Zbl 1105.35052 J. Math. Anal. Appl. 320, No. 2, 771-778 (2006). Reviewer: Pavol Quittner (Bratislava) MSC: 35K60 35B05 35K55 35K57 35B40 PDFBibTeX XMLCite \textit{Q. Liu} et al., J. Math. Anal. Appl. 320, No. 2, 771--778 (2006; Zbl 1105.35052) Full Text: DOI
Chen, Youpeng; Liu, Qilin; Gao, Hongjun Boundedness of global solutions of a porous medium equation with a localized source. (English) Zbl 1092.35049 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2168-2182 (2006). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 35K65 35K55 35A07 35B35 35K60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2168--2182 (2006; Zbl 1092.35049) Full Text: DOI
Gao, Hong-Jun; Duan, Jinqiao Averaging principle for quasi-geostrophic motion under rapidly oscillating forcing. (English) Zbl 1144.76488 Appl. Math. Mech., Engl. Ed. 26, No. 1, 108-120 (2005). MSC: 76U05 35Q35 86A05 34G20 PDFBibTeX XMLCite \textit{H.-J. Gao} and \textit{J. Duan}, Appl. Math. Mech., Engl. Ed. 26, No. 1, 108--120 (2005; Zbl 1144.76488) Full Text: DOI arXiv
Gao, Hongjun; Zhu, Anyou The global strong solutions of Hasegawa-Mima-Charney-Obukhov equation. (English) Zbl 1110.35064 J. Math. Phys. 46, No. 8, 083517, 6 p. (2005). MSC: 35Q35 76B03 76X05 82D10 PDFBibTeX XMLCite \textit{H. Gao} and \textit{A. Zhu}, J. Math. Phys. 46, No. 8, 083517, 6 p. (2005; Zbl 1110.35064) Full Text: DOI
Gao, Hongjun; Duan, Jinqiao Dynamics of quasi-geostrophic fluid motion with rapidly oscillating Coriolis force. (English) Zbl 1205.76280 Nonlinear Anal., Real World Appl. 4, No. 1, 127-138 (2003). MSC: 76U05 34G20 35Q35 86A05 PDFBibTeX XMLCite \textit{H. Gao} and \textit{J. Duan}, Nonlinear Anal., Real World Appl. 4, No. 1, 127--138 (2003; Zbl 1205.76280) Full Text: DOI
Gao, Hongjun; Muñoz Rivera, Jaime E. On the exponential stability of thermoelastic problem with memory. (English) Zbl 1021.74012 Appl. Anal. 78, No. 3-4, 379-403 (2001). MSC: 74F05 74H40 35Q72 74H55 35B35 35R10 PDFBibTeX XMLCite \textit{H. Gao} and \textit{J. E. Muñoz Rivera}, Appl. Anal. 78, No. 3--4, 379--403 (2001; Zbl 1021.74012) Full Text: DOI