Hong-Ming Yin

Partial Differential Equations and Applications

1. *On a p-Laplacian type of evolution system and applications to the Bean model in the type-II superconductivity theory, Quarterly of Applied Mathematics, Vol. LIX, No. 1, (2000), 47-66.

2. *On Maxwell’s System with a thermal effect, (with Jeff Morgan), Discrete and Dynamical Systems B, Vol. 1 (2001), 485-494.

3. *On a free boundary problem with superheating arising in microwave heating processes, Advances in Mathematical Sciences and Applications, Vol. 12(2002), 409-433.

4. *Optimal regularity of solution to a degenerate elliptic system arising in electromagnetic fields, Communication on Pure and Applied Analysis, Vol. 1 (2002), 127-134.

5. *A Degenerate Evolution System Modeling Bean’s Critical-State Type-II Superconductors (with Ben Q. Li, Jun Zou), Discrete and Dynamical Systems Series A, Vol.8 (2002), 781-794.

6. *Optimal Control of Microwave Sterilization in Food Processing (with J. Tang, BenQ Li), International Journal of Applied Mathematics, Vol.10 (2002), 13-31.

7. On Professor John R. Cannon’s Research Accomplishments (with Richard E. Ewing, Yanping Lin), Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 10 (2003), 635-647.

8. Progress in Partial Differential Equations and Applications, editors (with R. Dillon, A. Khapalov, V.S. Manoranjan) for a special issue of Dynamics of Continuous, Discrete and Impulsive Systems, Vol.10, Number 5, 2003.

9. *Regularity of Weak Solution to Maxwell’s Equations and Applications to Microwave Heating, Washington State University, Dept. of Math. Technical Report, 02-1. To appear in Journal of Differential Equations.

10. On a class of Parabolic Equations with Nonlocal Boundary Conditions, WSU, Dept. of Math. Technical Report, 03-03, To appear in Journal of Mathematical Analysis and Applications.

11. On a Nonlinear Maxwell’s Equation in Quasi-stationary Fields, WSU Technical Report 2003-05, To appear in Mathematical Methods and Modeling in Applied Sciences.

12. *On a Phase-Field Model for a Melting Problem Arising in Induction Heating Processes, Proceeding of the International Conference on Nonlinear Partial Differential Equations and Applications. Fudan University, Shanghai, PRC, (2004).

13. *On a phase-change problem arising from inductive heating. WSU Technical Report Series, 2003-06, to appear in Journal of Nonlinear Differential Equations and Applications, (In press).

14. Global Solvability to a Singular Nonlinear Maxwell’s Equation in Quasi-stationary Electromagnetic Fields (with Wei Wei), WSU Technical Report Series 2004, to appear in Communication in Pure and Applied Analysis, (In press.)