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).
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