Chiu Yeung Chan
Professor

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 criterion for a multi-dimensional explosion due to a concentrated nonlinear source (with H. Y. Tian), to appear Appl. Math. Lett., (2006)
• Complete blow-up of solutions for degenerate semilinear parabolic first initial-boundary value problems (with W. Y. Chan), to appear Appl. Math. Comput., (2006)
• 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.
• Quenching for a degenerate parabolic problem due to a concentrated nonlinear source (with X.O. Jiang), to appear Quart. Appl. Math., 62 (2004), 553-568.
• 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.
• Numerical computations for damage of elastic materials (with L. Ke), Boundary Element Technology XIII (incorporating Computational Methods and Testing for Engineering Integrity), ed. C. S. Chen, C. A. Brebbia and D. W. Pepper, WIT Press, Boston, 1999, 301-310.
• 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.
• Impulsive quenching and blow-up of solutions, Nonlinear Anal., 30 (1997), 887-894.
• 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.
• 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.