## Hsia, Chun-Hsiung

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 Author ID: hsia.chun-hsiung Published as: Hsia, Chun-Hsiung External Links: MGP · ORCID
 Documents Indexed: 32 Publications since 2006 Co-Authors: 28 Co-Authors with 31 Joint Publications 742 Co-Co-Authors
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### Co-Authors

 1 single-authored 5 Jung, Changyeol 5 Ma, Tian 5 Shiue, Ming-Cheng 5 Wang, Shouhong 4 Kwon, Bongsuk 4 Lin, Chang-Shou 3 Bona, Jerry Lloyd 3 Chen, I-Kun 3 Nishida, Takaaki 2 Chen, Hongqiu 2 Chen, Shih-Hsin 2 Han, Jongmin 2 Kagei, Yoshiyuki 2 Teramoto, Yuka 2 Wadade, Hidemitsu 1 Chern, I-Liang 1 Choi, Yuncherl 1 Chuang, Ping-Han 1 Hashizume, Masato 1 Hwang, Gyeongha 1 Kawagoe, Daisuke 1 Liu, Jianguo 1 Nguyen, Thien Binh 1 Su, Jhe-Kuan 1 Ueda, Yoshihiro 1 Wang, Cheng 1 Wang, Xiaoming 1 Wang, Zhi-Qiang
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### Serials

 5 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Mathematical Fluid Mechanics 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Differential Equations 2 Numerische Mathematik 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Journal of Functional Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Mathematical Analysis 1 Methods and Applications of Analysis 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Proceedings A. Royal Society of London
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### Fields

 25 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Integral equations (45-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

27 Publications have been cited 124 times in 106 Documents Cited by Year
Revisiting an idea of Brézis and Nirenberg. Zbl 1198.35098
2010
Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations. Zbl 1388.35060
Hsia, Chun-Hsiung; Lin, Chang-Shou; Wang, Zhi-Qiang
2011
Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2010
Tropical atmospheric circulations with humidity effects. Zbl 1371.86020
Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong
2015
Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period. Zbl 1342.37056
Hsia, Chun-Hsiung; Han, Jongmin; Choi, Yuncherl
2015
Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition. Zbl 1262.35031
Han, Jongmin; Hsia, Chun-Hsiung
2012
Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2008
Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers’ equation. Zbl 1350.35010
Chen, Shih-Hsin; Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2017
On the asymptotic stability analysis and the existence of time-periodic solutions of the primitive equations. Zbl 1286.35032
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2013
Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain. Zbl 1411.35058
Chen, I-Kun; Hsia, Chun-Hsiung; Kawagoe, Daisuke
2019
Singularity of macroscopic variables near boundary for gases with cutoff hard potential. Zbl 1332.35254
Chen, I-Kun; Hsia, Chun-Hsiung
2015
Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016
Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2011
On a Burgers’ type equation. Zbl 1108.37052
Hsia, Chun-Hsiung; Wang, Xiaoming
2006
On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations. Zbl 1359.35130
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Nguyen, Thien Binh; Shiue, Ming-Cheng
2017
On the synchronization theory of Kuramoto oscillators under the effect of inertia. Zbl 1419.34148
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2019
On the global convergence of frequency synchronization for Kuramoto and Winfree oscillators. Zbl 1462.34080
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2019
Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability. Zbl 1329.35033
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2015
Structural stability and bifurcation for 2-D incompressible flows with symmetry. Zbl 1180.35410
Hsia, Chun-Hsiung; Liu, Jian-Guo; Wang, Cheng
2008
Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2007
Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
2016
The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms. Zbl 1236.35059
2011
Bifurcation of binary systems with the Onsager mobility. Zbl 1311.74006
Hsia, Chun-Hsiung
2010
Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. Zbl 1467.76026
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. Zbl 1467.76027
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Well-posedness for the $$BBM$$-equation in a quarter plane. Zbl 1302.35309
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
2014
On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations. Zbl 1388.86011
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2018
Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect. Zbl 1446.34091
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk; Ueda, Yoshihiro
2020
Singular limit in Hopf bifurcation for doubly diffusive convection equations. II: Bifurcation and stability. Zbl 1467.76026
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Singular limit in Hopf bifurcation for doubly diffusive convection equations. I: Linearized analysis at criticality. Zbl 1467.76027
Hsia, Chun-Hsiung; Kagei, Yoshiyuki; Nishida, Takaaki; Teramoto, Yuka
2021
Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect. Zbl 1446.34091
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk; Ueda, Yoshihiro
2020
Regularity for diffuse reflection boundary problem to the stationary linearized Boltzmann equation in a convex domain. Zbl 1411.35058
Chen, I-Kun; Hsia, Chun-Hsiung; Kawagoe, Daisuke
2019
On the synchronization theory of Kuramoto oscillators under the effect of inertia. Zbl 1419.34148
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2019
On the global convergence of frequency synchronization for Kuramoto and Winfree oscillators. Zbl 1462.34080
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2019
On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations. Zbl 1388.86011
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2018
Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers’ equation. Zbl 1350.35010
Chen, Shih-Hsin; Hsia, Chun-Hsiung; Jung, Chang-Yeol; Kwon, Bongsuk
2017
On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations. Zbl 1359.35130
Hsia, Chun-Hsiung; Jung, Chang-Yeol; Nguyen, Thien Binh; Shiue, Ming-Cheng
2017
Global well-posedness and singularity propagation for the BBM-BBM system on a quarter plane. Zbl 1382.35207
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
2016
Tropical atmospheric circulations with humidity effects. Zbl 1371.86020
Hsia, Chun-Hsiung; Lin, Chang-Shou; Ma, Tian; Wang, Shouhong
2015
Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period. Zbl 1342.37056
Hsia, Chun-Hsiung; Han, Jongmin; Choi, Yuncherl
2015
Singularity of macroscopic variables near boundary for gases with cutoff hard potential. Zbl 1332.35254
Chen, I-Kun; Hsia, Chun-Hsiung
2015
Time-periodic solutions of the primitive equations of large-scale moist atmosphere: existence and stability. Zbl 1329.35033
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2015
Well-posedness for the $$BBM$$-equation in a quarter plane. Zbl 1302.35309
Bona, Jerry L.; Chen, Hongqiu; Hsia, Chun-Hsiung
2014
On the asymptotic stability analysis and the existence of time-periodic solutions of the primitive equations. Zbl 1286.35032
Hsia, Chun-Hsiung; Shiue, Ming-Cheng
2013
Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition. Zbl 1262.35031
Han, Jongmin; Hsia, Chun-Hsiung
2012
Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations. Zbl 1388.35060
Hsia, Chun-Hsiung; Lin, Chang-Shou; Wang, Zhi-Qiang
2011
Hopf bifurcation for two-dimensional doubly diffusive convection. Zbl 1243.35016
Bona, Jerry L.; Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2011
The existence of positive solutions to the semilinear elliptic equation involving the Sobolev and the Sobolev-Hardy critical terms. Zbl 1236.35059
2011
Revisiting an idea of Brézis and Nirenberg. Zbl 1198.35098
2010
Rotating Boussinesq equations: dynamic stability and transitions. Zbl 1191.86014
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2010
Bifurcation of binary systems with the Onsager mobility. Zbl 1311.74006
Hsia, Chun-Hsiung
2010
Attractor bifurcation of three-dimensional double-diffusive convection. Zbl 1146.35313
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2008
Structural stability and bifurcation for 2-D incompressible flows with symmetry. Zbl 1180.35410
Hsia, Chun-Hsiung; Liu, Jian-Guo; Wang, Cheng
2008
Stratified rotating Boussinesq equations in geophysical fluid dynamics: dynamic bifurcation and periodic solutions. Zbl 1144.81356
Hsia, Chun-Hsiung; Ma, Tian; Wang, Shouhong
2007
On a Burgers’ type equation. Zbl 1108.37052
Hsia, Chun-Hsiung; Wang, Xiaoming
2006
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### Cited by 143 Authors

 12 Hsia, Chun-Hsiung 7 Choi, Yuncherl 7 Guo, Zongming 6 Wan, FangShu 5 Wang, Quan 5 Wang, Shouhong 5 Zou, Wenming 4 Han, Daozhi 4 Han, Jongmin 4 Ma, Tian 4 Sengul, Mustafa Taylan 4 Shiue, Ming-Cheng 3 Chen, I-Kun 3 Guo, Zhenyu V. 3 Ha, Taeyoung 3 Hashizume, Masato 3 Hernandez, Marco 3 Jung, Changyeol 3 Kagei, Yoshiyuki 3 Wang, Chunhua 3 Wu, Fan 3 Yang, Jing 2 Bozkurt, Deniz 2 Chen, Fei 2 Chen, Hongxu 2 Chen, Shih-Hsin 2 Chen, Zhijie 2 Chern, Jann-Long 2 Deliceoğlu, Ali 2 Du, Yihong 2 Guo, Boling 2 Huang, Xia 2 Hwang, Gyeongha 2 Kwon, Bongsuk 2 Li, Jiayu 2 Li, Liang 2 Li, Limei 2 Lin, Chang-Shou 2 Liu, Honghu 2 Liu, Ruikuan 2 Nakamura, Makoto 2 Nishida, Takaaki 2 Ong, Kiah Wah 2 Özer, Saadet 2 Robert, Frédéric 2 Teramoto, Yuka 2 Wang, Liping 2 Zhong, Xuexiu 1 Arioli, Gianni 1 Ávila, Andrés I. 1 Bonheure, Denis 1 Breden, Maxime 1 Brock, Friedemann 1 Cerami, Giovanna 1 Chekroun, Mickaël D. 1 Chen, Chih-Her 1 Chen, Hongqiu 1 Chen, Mo 1 Chen, Zhimin 1 Chuang, Ping-Han 1 Cîrstea, Florica-Corina Şt. 1 Fan, Yanlong 1 Fotsin, Hilaire Bertrand 1 Gao, Fengshuang 1 Gazzola, Filippo 1 Ge, Yongbin 1 Ghoussoub, Nassif A. 1 Guan, Xiaohong 1 Guo, Yuxia 1 Haidau, Cristina A. 1 Hattori, Masanari 1 Hussein, Amru 1 Ishiwata, Michinori 1 Jeong, In-Jee 1 Jia, Lan 1 Jin, Tianling 1 Kalita, Piotr 1 Kawagoe, Daisuke 1 Khan, Arbaz 1 Kim, Chanwoo 1 Kim, Sun-Chul 1 Koch, Hans-Friedrich 1 Kondrashuk, Igor 1 Lan, Bin 1 Lee, Doo Seok 1 Lessard, Jean-Philippe 1 Li, Junyan 1 Li, YanYan 1 Lian, Xinze 1 Lods, Bertrand 1 Louodop, Patrick 1 Lu, Guichen 1 Luo, Hong 1 Ma, Shan 1 Mohan, Manil Thankamani 1 Mokhtar-Kharroubi, Mustapha 1 Nguyen, Thien Binh 1 Njougouo, Thierry 1 Notte-Cuello, Eduardo Alfonso 1 Pan, Jiaojiao ...and 43 more Authors
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### Cited in 52 Serials

 9 Discrete and Continuous Dynamical Systems. Series B 7 Journal of Mathematical Fluid Mechanics 5 Journal of Mathematical Physics 5 Communications on Pure and Applied Analysis 4 Applicable Analysis 4 Journal of Mathematical Analysis and Applications 4 Journal of Differential Equations 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Calculus of Variations and Partial Differential Equations 3 Physica D 3 Discrete and Continuous Dynamical Systems 2 Archive for Rational Mechanics and Analysis 2 Journal of Statistical Physics 2 Chaos, Solitons and Fractals 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Advanced Nonlinear Studies 2 Journal of Applied Analysis and Computation 2 Korean Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Tôhoku Mathematical Journal. Second Series 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Communications in Contemporary Mathematics 1 Nonlinear Analysis. Real World Applications 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 SIAM Journal on Applied Dynamical Systems 1 Complex Variables and Elliptic Equations 1 Science China. Mathematics 1 Bulletin of Mathematical Sciences 1 Axioms 1 AIMS Mathematics 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications
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### Cited in 20 Fields

 91 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 22 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 8 Geophysics (86-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Numerical analysis (65-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)