## Yuen, Manwai

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 Author ID: yuen.manwai Published as: Yuen, Manwai; Yuen, Man-Wai Homepage: https://oraas0.ied.edu.hk/rich/web/people_details.jsp?pid=139145 External Links: MGP · ORCID · ResearchGate
 Documents Indexed: 56 Publications since 2007 Co-Authors: 20 Co-Authors with 30 Joint Publications 541 Co-Co-Authors
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### Co-Authors

 25 single-authored 8 An, Hongli 6 Fan, Engui 5 Yeung, Ling Hei 4 Kwong, Man Kam 3 Cheung, Ka-Luen 3 Wong, Sen 2 Chen, Yang 2 Zhang, Lijun 1 Chan, Wai-hong 1 Chow, Kwokwing 1 Dong, Jianwei 1 Dong, Jiao-Jiao 1 Ho, Choryin 1 Hou, Liying 1 Li, Biao 1 Liu, Jianli 1 Tang, Yaning 1 Wang, Jingjie 1 Wang, Jundong 1 Yang, Jin-Jing
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### Serials

 9 Journal of Mathematical Physics 8 Journal of Mathematical Analysis and Applications 7 Communications in Nonlinear Science and Numerical Simulation 5 Physics Letters. A 4 Applied Mathematics Letters 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Studies in Applied Mathematics 2 Communications in Theoretical Physics 1 Classical and Quantum Gravity 1 Nonlinearity 1 Journal of Differential Equations 1 Proceedings of the American Mathematical Society 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Far East Journal of Mathematical Sciences 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Communications in Mathematical Sciences 1 Applied Mathematical Sciences (Ruse) 1 International Journal of Applied and Computational Mathematics
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### Fields

 54 Partial differential equations (35-XX) 34 Fluid mechanics (76-XX) 11 Astronomy and astrophysics (85-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Relativity and gravitational theory (83-XX) 2 Ordinary differential equations (34-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 250 times in 110 Documents Cited by Year
Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars. Zbl 1138.35364
Yuen, Manwai
2008
Blowup for the Euler and Euler-Poisson equations with repulsive forces. Zbl 1372.35228
Yuen, Manwai
2011
Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in $$\mathbb R^N$$. Zbl 1431.35143
Yuen, Manwai
2012
Blowup solutions for a class of fluid dynamical equations in $$\mathbb{R}^N$$. Zbl 1154.35427
Yuen, Manwai
2007
Analytical solutions to the Navier-Stokes equations. Zbl 1159.81330
Yuen, Manwai
2008
Self-similar blow-up solutions to the 2-component Camassa-Holm equations. Zbl 1309.76042
Yuen, Manwai
2010
Blowup for the $$C^1$$ solutions of the Euler-Poisson equations of gaseous stars in $$\mathbb R^N$$. Zbl 1227.35100
Yuen, Manwai
2011
Blow-up phenomena for compressible Euler equations with non-vacuum initial data. Zbl 1327.35308
Wong, Sen; Yuen, Manwai
2015
Some exact blowup solutions to the pressureless Euler equations in $$\mathbb R^{N}$$. Zbl 1419.76542
Yuen, Manwai
2011
Analytically periodic solutions to the three-dimensional Euler-Poisson equations of gaseous stars with a negative cosmological constant. Zbl 1181.85047
Yuen, Manwai
2009
Blowup for irrotational $$C^1$$ solutions of the compressible Euler equations in $$\mathbb{R}^N$$. Zbl 1366.35009
Yuen, Manwai
2017
Analytical blowup solutions to the pressureless Navier-Stokes-Poisson equations with density-dependent viscosity in $$\mathbb R^N$$. Zbl 1173.85307
Yuen, Manwai
2009
Analytical solutions to the Navier-Stokes equations with density-dependent viscosity and with pressure. Zbl 1223.76013
Yeung, Ling Hei; Yuen, Manwai
2009
Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure. Zbl 1233.35054
Yeung, Ling Hei; Yuen, Manwai
2011
Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations. Zbl 1252.35234
Yuen, Manwai
2011
Self-similar blowup solutions to the 2-component Degasperis-Procesi shallow water system. Zbl 1419.76097
Yuen, Manwai
2011
Stabilities for Euler-Poisson equations in some special dimensions. Zbl 1211.35229
Yuen, Manwai
2008
Perturbational blowup solutions to the compressible 1-dimensional Euler equations. Zbl 1254.76060
Yuen, Manwai
2011
Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies. Zbl 1296.85002
Kwong, Man Kam; Yuen, Manwai
2014
The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the $$n$$-dimensional Burgers system. Zbl 1377.35055
Chen, Yang; Fan, Engui; Yuen, Manwai
2016
Supplement to: “Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in $$\mathbb{R}^N$$”. Zbl 1440.35260
An, Hongli; Yuen, Manwai
2013
Rotational and self-similar solutions for the compressible Euler equations in $$\mathbb R^3$$. Zbl 1310.35191
Yuen, Manwai
2015
Perturbational blowup solutions to the 2-component Camassa-Holm equations. Zbl 1236.35005
Yuen, Manwai
2012
The Cartesian vector solutions for the $$N$$-dimensional compressible Euler equations. Zbl 1309.35063
An, Hongli; Fan, Engui; Yuen, Manwai
2015
Soliton molecules and mixed solutions of the $$(2+1)$$-dimensional bidirectional Sawada-Kotera equation. Zbl 1455.35045
Dong, Jiao-Jiao; Li, Biao; Yuen, Manwai
2020
Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083
Fan, Engui; Yuen, Manwai
2019
Blowup of regular solutions for the relativistic Euler-Poisson equations. Zbl 1339.85002
Chan, Wai Hong; Wong, Sen; Yuen, Manwai
2016
Vortical and self-similar flows of 2D compressible Euler equations. Zbl 1457.76184
Yuen, Manwai
2014
Double Wronskian solutions to the $$(2+1)$$-dimensional Broer-Kaup-Kupershmidt equation. Zbl 1439.35432
Tang, Yaning; Yuen, Manwai; Zhang, Lijun
2020
Blowup for regular solutions and $$C^1$$ solutions of Euler equations in $$\mathbb{R}^N$$ with a free boundary. Zbl 1408.76432
Yuen, Manwai
2018
New method for blowup of the Euler-Poisson system. Zbl 1354.35064
Kwong, Man Kam; Yuen, Manwai
2016
Blowup for $$C^2$$ solutions of the $$N$$-dimensional Euler-Poisson equations in Newtonian cosmology. Zbl 1312.83036
Yuen, Manwai
2014
The analytical solutions for the $$N$$-dimensional damped compressible Euler equations. Zbl 1364.35249
Chow, Kwokwing; Fan, Engui; Yuen, Manwai
2017
Note for “Some exact blowup solutions to the pressureless Euler equations in $$\mathbb R^{N}$$”. Zbl 1242.76038
Yeung, Ling Hei; Yuen, Manwai
2012
Some exact blowup solutions to simple cosmology models. Zbl 1239.35030
Yeung, Ling Hei; Yuen, Manwai
2010
Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars. II. Zbl 1317.35140
Yuen, Manwai
2011
Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in $$R^N$$. Zbl 1360.35169
Chen, Yang; Fan, Engui; Yuen, Manwai
2017
Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations. Zbl 1331.35268
Fan, Engui; Yuen, Manwai
2014
Erratum: “Analytical solutions to the Navier-Stokes equations”. Zbl 1200.35220
Yuen, Manwai
2009
Soliton molecules and mixed solutions of the $$(2+1)$$-dimensional bidirectional Sawada-Kotera equation. Zbl 1455.35045
Dong, Jiao-Jiao; Li, Biao; Yuen, Manwai
2020
Double Wronskian solutions to the $$(2+1)$$-dimensional Broer-Kaup-Kupershmidt equation. Zbl 1439.35432
Tang, Yaning; Yuen, Manwai; Zhang, Lijun
2020
Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083
Fan, Engui; Yuen, Manwai
2019
Blowup for regular solutions and $$C^1$$ solutions of Euler equations in $$\mathbb{R}^N$$ with a free boundary. Zbl 1408.76432
Yuen, Manwai
2018
Blowup for irrotational $$C^1$$ solutions of the compressible Euler equations in $$\mathbb{R}^N$$. Zbl 1366.35009
Yuen, Manwai
2017
The analytical solutions for the $$N$$-dimensional damped compressible Euler equations. Zbl 1364.35249
Chow, Kwokwing; Fan, Engui; Yuen, Manwai
2017
Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in $$R^N$$. Zbl 1360.35169
Chen, Yang; Fan, Engui; Yuen, Manwai
2017
The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the $$n$$-dimensional Burgers system. Zbl 1377.35055
Chen, Yang; Fan, Engui; Yuen, Manwai
2016
Blowup of regular solutions for the relativistic Euler-Poisson equations. Zbl 1339.85002
Chan, Wai Hong; Wong, Sen; Yuen, Manwai
2016
New method for blowup of the Euler-Poisson system. Zbl 1354.35064
Kwong, Man Kam; Yuen, Manwai
2016
Blow-up phenomena for compressible Euler equations with non-vacuum initial data. Zbl 1327.35308
Wong, Sen; Yuen, Manwai
2015
Rotational and self-similar solutions for the compressible Euler equations in $$\mathbb R^3$$. Zbl 1310.35191
Yuen, Manwai
2015
The Cartesian vector solutions for the $$N$$-dimensional compressible Euler equations. Zbl 1309.35063
An, Hongli; Fan, Engui; Yuen, Manwai
2015
Periodic solutions of 2D isothermal Euler-Poisson equations with possible applications to spiral and disk-like galaxies. Zbl 1296.85002
Kwong, Man Kam; Yuen, Manwai
2014
Vortical and self-similar flows of 2D compressible Euler equations. Zbl 1457.76184
Yuen, Manwai
2014
Blowup for $$C^2$$ solutions of the $$N$$-dimensional Euler-Poisson equations in Newtonian cosmology. Zbl 1312.83036
Yuen, Manwai
2014
Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations. Zbl 1331.35268
Fan, Engui; Yuen, Manwai
2014
Supplement to: “Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in $$\mathbb{R}^N$$”. Zbl 1440.35260
An, Hongli; Yuen, Manwai
2013
Self-similar solutions with elliptic symmetry for the compressible Euler and Navier-Stokes equations in $$\mathbb R^N$$. Zbl 1431.35143
Yuen, Manwai
2012
Perturbational blowup solutions to the 2-component Camassa-Holm equations. Zbl 1236.35005
Yuen, Manwai
2012
Note for “Some exact blowup solutions to the pressureless Euler equations in $$\mathbb R^{N}$$”. Zbl 1242.76038
Yeung, Ling Hei; Yuen, Manwai
2012
Blowup for the Euler and Euler-Poisson equations with repulsive forces. Zbl 1372.35228
Yuen, Manwai
2011
Blowup for the $$C^1$$ solutions of the Euler-Poisson equations of gaseous stars in $$\mathbb R^N$$. Zbl 1227.35100
Yuen, Manwai
2011
Some exact blowup solutions to the pressureless Euler equations in $$\mathbb R^{N}$$. Zbl 1419.76542
Yuen, Manwai
2011
Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure. Zbl 1233.35054
Yeung, Ling Hei; Yuen, Manwai
2011
Exact, rotational, infinite energy, blowup solutions to the 3-dimensional Euler equations. Zbl 1252.35234
Yuen, Manwai
2011
Self-similar blowup solutions to the 2-component Degasperis-Procesi shallow water system. Zbl 1419.76097
Yuen, Manwai
2011
Perturbational blowup solutions to the compressible 1-dimensional Euler equations. Zbl 1254.76060
Yuen, Manwai
2011
Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars. II. Zbl 1317.35140
Yuen, Manwai
2011
Self-similar blow-up solutions to the 2-component Camassa-Holm equations. Zbl 1309.76042
Yuen, Manwai
2010
Some exact blowup solutions to simple cosmology models. Zbl 1239.35030
Yeung, Ling Hei; Yuen, Manwai
2010
Analytically periodic solutions to the three-dimensional Euler-Poisson equations of gaseous stars with a negative cosmological constant. Zbl 1181.85047
Yuen, Manwai
2009
Analytical blowup solutions to the pressureless Navier-Stokes-Poisson equations with density-dependent viscosity in $$\mathbb R^N$$. Zbl 1173.85307
Yuen, Manwai
2009
Analytical solutions to the Navier-Stokes equations with density-dependent viscosity and with pressure. Zbl 1223.76013
Yeung, Ling Hei; Yuen, Manwai
2009
Erratum: “Analytical solutions to the Navier-Stokes equations”. Zbl 1200.35220
Yuen, Manwai
2009
Analytical blowup solutions to the 2-dimensional isothermal Euler-Poisson equations of gaseous stars. Zbl 1138.35364
Yuen, Manwai
2008
Analytical solutions to the Navier-Stokes equations. Zbl 1159.81330
Yuen, Manwai
2008
Stabilities for Euler-Poisson equations in some special dimensions. Zbl 1211.35229
Yuen, Manwai
2008
Blowup solutions for a class of fluid dynamical equations in $$\mathbb{R}^N$$. Zbl 1154.35427
Yuen, Manwai
2007
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### Cited by 127 Authors

 38 Yuen, Manwai 9 Cheung, Ka-Luen 7 Wong, Sen 5 An, Hongli 5 Dong, Jianwei 4 Fan, Engui 4 Guo, Zhengguang 3 Kwong, Man Kam 3 Lin, Ping 3 Ma, Zongwei 3 Yeung, Ling Hei 3 Zhu, Xusheng 2 Deng, Aiping 2 Fang, Yaoli 2 Geng, Yongcai 2 Guo, Zhenhua 2 Jin, Liangbing 2 Li, Jibin 2 Liu, Jianli 2 Ma, Hongcai 2 Ming, Sen 2 Tu, Aihua 2 Yang, Han 2 Yong, Ls 1 Alderremy, A. A. 1 Carles, Rémi 1 Carrapatoso, Kleber 1 Chan, Wai-hong 1 Chauhan, Astha 1 Chen, Changkai 1 Chen, Guanrong 1 Chen, Ping 1 Chen, Quting 1 Chen, Yang 1 Chen, Yuhui 1 Chertock, Alina E. 1 Choquard, Philippe 1 Chow, Kwokwing 1 Cui, Shumo 1 Dhiman, Shubham Kumar 1 Fang, Li 1 Fu, Chunyan 1 Grunert, Katrin 1 Gui, Guilong 1 Han, Bo 1 Han, Maoan 1 Hendi, Fatheah A. 1 Hillairet, Matthieu 1 Ho, Choryin 1 Hong, GuangYi 1 Hou, Liying 1 Hou, Xiaofeng 1 Hu, Wenming 1 Huang, Jingchi 1 Kang, Jingfeng 1 Kashkari, Bothayna S. H. 1 Kumar, Sachin 1 Kurganov, Alexander 1 Li, Biao 1 Li, Jina 1 Li, Lingfei 1 Li, Tianhong 1 Li, Wei 1 Li, Xiangzheng 1 Li, Zilai 1 Liang, Zhilei 1 Liu, Ping 1 Liu, Shengrong 1 Liu, Zhang 1 Long, Yao 1 Lou, Guangpu 1 Lou, Senyue 1 Lv, Guangying 1 Mai, La-Su 1 Mei, Liquan 1 Mei, Ming 1 Mu, Chunlai 1 Ni, Lidiao 1 Peng, Hongyun 1 Qiu, Jianlong 1 Regmi, L. P. 1 Rohlf, Katrin 1 Rui, Weiguo 1 Shang, Yadong 1 Shi, Xiaoding 1 Tan, Changhui 1 Tian, Lixin 1 Tu, Xinyu 1 Vuffray, Marc 1 Wang, Lei 1 Wang, Mei 1 Wang, Mingliang 1 Wang, Weiming 1 Wang, Yuexun 1 Wang, Yuxi 1 Wang, Yuxin 1 Wei, Jinlong 1 Wei, Zhengzhen 1 Wu, Yanyun 1 Xia, Yarong ...and 27 more Authors
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### Cited in 43 Serials

 14 Journal of Mathematical Physics 11 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Communications in Nonlinear Science and Numerical Simulation 6 Applied Mathematics Letters 5 Physics Letters. A 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Differential Equations 4 European Journal of Mechanics. B. Fluids 4 Nonlinear Analysis. Real World Applications 3 Journal of Applied Mathematics 3 Boundary Value Problems 2 Applicable Analysis 2 Applied Mathematics and Computation 2 Studies in Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Advances in Mathematical Physics 1 Computers & Mathematics with Applications 1 Letters in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Journal of Geometry and Physics 1 Mathematics and Computers in Simulation 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Acta Applicandae Mathematicae 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Turkish Journal of Mathematics 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Communications on Pure and Applied Analysis 1 Science China. Mathematics 1 Journal of Applied Analysis and Computation 1 International Journal of Applied and Computational Mathematics 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue
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### Cited in 18 Fields

 105 Partial differential equations (35-XX) 56 Fluid mechanics (76-XX) 9 Astronomy and astrophysics (85-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 4 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 3 Quantum theory (81-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX)