Name
Meng-Kai Hong
Gender Male
Rank Professor
Education Ph.D., University of California at Davis
Tel 886-3-4227151 Ext. 65158
Fax 886-3-4257379
Office Room 317, Hong-Jing Building
E-mail jhong@math.ncu.edu.tw
Homepage  
Field Partial differential equations, Fluid mechanics
Experience
2008/08 ~ Associate Professor, National Central University
2003/08 ~ 2008/07 Assistant Professor, National Central University
2000/07 ~ 2003/07 Postdoctor, UCLA
Honor
 
Selected
Publications

A. Journal Papers

[1]  John M. Hong, Cheng-Hsiung Hsu and Ying-Chin Su, Global Solutions for Initial Boundary Value Problem of Quasilinear Wave Equations, accepted by Journal of Differential Equation, 2008.
[2] Yuan Chang, John M. Hong and Cheng-Hsiung Hsu, Globally Lipschitz continuous solutions to a class of quasilinear wave equations, Journal of Differential Equations, Vol. 236 (2007) pp. 504-531.
[3] Hin-Chi Lei, Sheng-Wei Chen and John M. Hong, Invariant solutions of the equation of motion for a sphere composed of Blatz-Ko material, Journal of the Chinese Institute of Engineers, Vol. 30, No.4 (2007), pp. 557-567.
[4] John M. Hong and Philippe G. LeFloch, A version of the Glimm method based on generalized Riemann problems, Portugaliae Mathematica, Vol. 64, Fasc. 2 (2007), pp. 199-236.
[5] John M. Hong, An extension of Glimmˇ¦s method to inhomogeneous strictly hyperbolic systems of conservation laws by ˇ§weaker than weakˇ¨ solutions of the Riemann problem, Journal of Differential Equations, Vol. 222 (2006) pp. 515-549 .
[6] John M. Hong and Blake Temple, A bound on the total variation of the conserved quantities for solutions of a general resonant nonlinear balance law, SIAM Journal of Applied Mathematics, Vol. 64, No. 3 (2004) pp. 819-857.
[7] John M. Hong and Blake Temple, The generic solution of the Riemann problem in a neighborhood of a point of resonance for systems of nonlinear balance laws, Methods and Applications of Analysis, Vol. 10, No. 2 (2003), pp. 279-294.

B. Submitted Papers

[1] John M. Hong, Cheng-Hsiung Hsu and Weishi Liu, Viscous standing asymptotic states of isentropic compressible flows through a nozzle (submitted to Archive Journal for Rational Mechanic and Analysis).
[2] John M. Hong, Jiahong Wu and Juan-Ming Yuan, A New Solution Representation for the BBM Equation in a Quarter Plane and the Eventual Periodicity (submitted to Nonlinearity).
[3] Yuan Chang, Shih-Wei Chou and John M. Hong, Existence and Uniqueness of Lax- Type Solutions to the Riemann Problem of Scalar Balance Law with Singular Source Term (submitted to Journal of Nonlinear Analysis, Series A).

C. Preprint

[1] John M. Hong and Cheng Hsiung Hsu, Existence of generalized solutions to the Riemann problem of nonlinear balance laws with singular source terms (2005).

 

 
Faculty
 
Sheu, shuenn Jyi
Meng-Kai Hong
Feng-Nan Hwang
Chin-Yuan Lin
Ming-Guang Leu
Chin-Cheng Lin
Jann-Long Chern
Cheng-Hsiung Hsu
Suh-Yuh Yang
Hong-Gwa Yeh
Yen-Mei J. Chen
Duy-Minh Nhieu
Hwa-Long Gau
Mei-Lin Yau
Fang, Xiang
Ming-Yi Lee
Hung-Lin Chiu
Jenn-Hwa Yu
Wei-Chang Shann
Yu-Sheng Hsu
Chia-Chang Hsiao
Re-Bin Rau
Wei-Han Wu
Sheng-Chyang Liaw
Ching-hsiao Cheng
Rung-Tzung Huang
Shang-Yuan Shiu
Yung-Ning Peng
Jheng-Jie Chen
Fu-Tsun Wei
Hau-Wen Huang
   
 
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