Chiu Yeung Chan
Pennzoil Endowed Professor in Mathematics

Contact:
Office: 431 Maxim Doucet
Phone: 337-482-5288
E-mail: chan@louisiana.edu
Home page: not available

Degrees:
Ph.D. 1969 University of Toronto
M.S. 1967 University of Ottawa
B.S. (Honors) 1965 University of Hong Kong

Statement:
My main research interests are in nonlinear partial differential equations, applied analysis, mathematical modeling, and computational mathematics.

Selected research publications:

• A multi-dimensional blow-up problem due to a concentrated nonlinear source on quenching in Rⁿ (with P. Tragoonsirisak), Quart. Appl. Math., to appear.
• Quenching for a parabolic problem due to a concentrated nonlinear source on a semi-infinite interval (with T. Treeyaprasert), in Special Issue on "Blow-up and Quenching Phenomena", Dynam. Systems Appl., 18 (2009), 55-62.
• Effects of a concentrated nonlinear source on quenching in Rⁿ (with P. Tragoonsirisak), in Special Issue on "Blow-up and Quenching Phenomena", Dynam. Systems Appl., 18 (2009), 47-54.
• Quenching for degenerate parabolic problems with nonlocal boundary conditions (with H. T. Liu), in Special Issue on "Blow-up and Quenching Phenomena", Dynam. Systems Appl., 18 (2009), 17-28.
• Quenching criteria for a degenerate parabolic problem due to a concentrated nonlinear source, in Special Issue on "Blow-up and Quenching Phenomena", Dynam. Systems Appl., 18 (2009), 121-127.
• The critical radius of a concentrated nonlinear source for a quenching problem in Rⁿ (with P. Tragoonsirisak), Advances in Nonlinear Analysis: Theory, Methods and Application, ed. S. Sivasundaram, Cambridge Scientific Publishers, 2009, pp. 119-127.
• A multi-dimensional quenching problem due to a concentrated nonlinear source in Rⁿ (with P. Tragoonsirisak), Nonlinear Anal., 69 (2008), 1494-1514.
• A blow-up criterion for a degenerate parabolic problem due to a concentrated nonlinear source (with R. Boonklurb), Quart. Appl. Math., 65 (2007), 781-787.
• Existence, uniqueness and quenching of the solution for a nonlocal degenerate semilinear parabolic problem (with H. T. Liu), Dynam. Systems Appl., 16 (2007), 551-559.
• Complete and single-point blow-up of the solution for a degenerate semilinear parabolic problem with mixed boundary conditions (with N. E. Dyakevich), Dynam. Systems Appl., 15 (2006), 603-616.
• A criterion for a multi-dimensional explosion due to a concentrated nonlinear source (with H. Y. Tian), Appl. Math. Lett., 19 (2006), 298-302.
• Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems (with W. Y. Chan), Appl. Math. Comput., 177 (2006), 777-784.
• Quenching for a degenerate parabolic problem due to a concentrated nonlinear source (with X. O. Jiang), Quart. Appl. Math., 62 (2004), 553-568.
• Complete blow-up of the solution for a degenerate semilinear parabolic problem with a localized nonlinear reaction (with N. E. Dyakevich), Dynamic Systems Appl., 13 (2004), 249-258.
• Multi-dimensional explosion due to a concentrated nonlinear source (with H. Y. Tian), J. Math. Anal. Appl., 295 (2004), 174-190.
• Single-point blow-up for a degenerate parabolic problem with a nonlinear source of local and nonlocal features (with H. Y. Tian), Appl. Math. Comput., 145 (2003), 371-390.
• Single-point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source (with H. Y. Tian), Quart. Appl. Math., 61 (2003), 363-385.
• Numerical computations for singular semilinear elliptic boundary value problems (with L. Ke), Comput. Math. Appl., 43 (2002), 351-358.
• Parabolic problems with nonlinear absorptions and releases at the boundaries (with S. I. Yuen), Appl. Math. Comput., 121 (2001), 203-209.
• Beyond quenching for degenerate singular semilinear parabolic equations (with J. Yang), Appl. Math. Comput., 121 (2001), 185-201.
• No quenching in infinite time for degenerate singular semilinear parabolic equations (with J. Yang), Appl. Math. Comput., 121 (2001), 29-35.
• Does quenching for degenerate parabolic equations occur at the boundaries? (with H. T. Liu), Dynam. Contin. Discrete Impuls. Systems (Series A), 8 (2001), 121-128.
• Quenching of solutions of semilinear Euler-Poisson-Darboux equations (with J. K. Zhu), Dynam. Contin. Discrete Impuls. Systems (Series A), 8 (2001), 25-33.
• Initial data for a single-point quenching (with H. T. Liu), Dynam. Contin. Discrete Impuls. Systems (Series A), 8 (2001), 15-23.
• Damage models of elastic materials (with L. Ke), Dynam. Contin. Discrete Impuls. Systems (Series A), 8 (2001), 1-14.
• Complete blow-up for degenerate semilinear parabolic equations (with J. Yang), J. Comput. Appl. Math., 113 (2000), 353-364.
• Existence of classical solutions for degenerate semilinear parabolic problems (with W. Y. Chan), Appl. Math. Comput., 101 (1999), 125-149.
• Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions (with J. K. Zhu), Appl. Math. Comput., 99 (1999), 17-28.
• Global existence of solutions for degenerate semilinear parabolic problems (with H. T. Liu), Nonlinear Anal., 34 (1998), 617-628.
• Impulsive effects on global existence of solutions for degenerate semilinear parabolic equations (with S. I. Yuen), Appl. Math. Comput., 90 (1998), 97-116.
• Beyond quenching for singular reaction-diffusion mixed boundary-value problems (with N. Ozalp), Advances in Nonlinear Dynamics, Gordon and Breach Science Publishers, 1997, pp. 217-227.
• Channel flow of a viscous fluid in the boundary layer (with P. C. Kong), Quart. Appl. Math., 55 (1997), 51-56.
• Quenching in infinite time on the N-dimensional ball (with H. T. Liu), Dynam. Contin. Discrete Impuls. Systems, 2 (1996), 303-316.
• Impulsive quenching for degenerate parabolic equations (with P. C. Kong), J. Math. Anal. Appl., 202 (1996), 450-464.
• Impulsive effects on global existence of solutions of semilinear heat equations (with K. Deng), Nonlinear Anal., 26 (1996), 1481-1489.
• Quenching for coupled degenerate parabolic equations (with K. K. Nip), Nonlinear Problems in Applied Mathematics (in Honor of Ivar Stakgold on his 70th Birthday), ed. T. S. Angell, L P. Cook, R. E. Kleinman and W. E. Olmstead, SIAM, Philadelphia, 1996, 76-85.
• Singular reaction-diffusion mixed boundary-value quenching problems (with N. Ozalp), Dynamical Systems and Applications, World Scientific Publishing Co., 1995, pp. 127-137.
• On the blow-up of |u_tt| at quenching for semilinear Euler-Poisson-Darboux equations (with K. K. Nip), Comp. Appl. Mat., 14 (1995), 185-190.
• A thermal explosion model (with P. C. Kong), Appl. Math. Comput., 71 (1995), 201-210.
• Existence of classical solutions for singular parabolic problems (with B. M. Wong), Quart. Appl. Math., 53 (1995), 201-213.
• Solution profiles beyond quenching for degenerate reaction-diffusion problems (with P. C. Kong), Nonlinear Anal., 24 (1995), 1755-1763.