Office: 310S GoodWyn Hall
Email: ychen5@aum.edu
Address: Department of Mathematics and Computer Science, Auburn University at Montgomery, Montgomery, AL, 36116
Education
Ph.D.: Major: Math, Department of Mathematics of Louisiana State University, Baton Rouge
M.S.:
Major: Math, Department of Mathematics of Louisiana State University, Baton Rouge
M.S.:
Major: Math, Mathematics Department of Shanghai University, Shanghai, China
B.S.:
Major: Math, Mathematics Department of Shanghai University, Shanghai, China
PhD Advisor: Robert P. Lipton
Research Interests
Electromagnetic wave propagation in metamaterials, Homogenization theory of partial differential equations, inverse problem, Stability Analysis of Crystal Growth, Mathematical materials science, Solid mechanics
Publications
- "Controlling refraction using sub-wavelength resonators." Appl. Sci., Vol.8(10), 1942 (2018). (With Robert Lipton)
- "Monitoring depth-profile of near-surface residual stress in weakly-anisotropic media via Rayleigh-wave dispersion.", Wave Motion, Vol. 77, 119-138 (2018). (With Kazumi Tanuma, Chi-Sing Man and Christopher M. Kube)
- "Dispersion of Rayleigh waves in weakly anisotropic media with vertically inhomogeneous initial stress", International Journal of Engineering Science, Vol. 92, 63-82 (2015). (With Kazumi Tanuma, Chi-Sing Man)
- "Multiscale Methods for Engineering Double Negative Metamaterials", Metamaterials (2013), DOI 10.1016/j.metmat.2013.05.003, R. Lipton co-author.
- "Double Negative Dispersion Relations from Coated Plasmonic Rods", Multiscale Model. Simul., SIAM, Vol. 11, No. 1, 192-212 (2013), R. Lipton co-author.
- "Resonance and Double Negative Behavior in Metamaterials ", Arch. Rational Mech. Anal. Vol. 209, No. 3, 835–868 (2013), R. Lipton co-author.
- "Tunable Double Negative Band Structure from Non-Magnetic Coated Rods", New Journal of Physics, Volume 12, 083010 (2010), R. Lipton co-author.
- "Optimal lower bounds on the local stress inside random thermoelastic composites", Acta Mechanica, Volume 213, 97–109 (2010), R. Lipton co-author.
- "Minimizing the Maximum Lateness on a Two Machine Flowshop with Batch Processors", Journal of Applied Sciences, Volume 22(2) (2004).
Past and Upcoming Events
- 2018 SIAM Annual Meetings, 2018, Portland.
- 2017 AMS Joint Mathematics Meetings, January 4- January 7, 2017, Atlanta.
- 2016 Southeastern-Atlantic Regional Conference on Differential Equations (SEARCDE), November 5-November 6, Fort Myers, FL.
- 2016 MAA Southeastern Section Spring 2016 Meeting, March 25-26, Birmingham.
- 2016 AACTM Meeting, February 13, Montgomery, AL.
- 2015 AMS Joint Mathematics Meetings, January 10- January 13, 2015, San Antonio.
- 2014 AMS Joint Mathematics Meetings, January 15- January 18, 2014, Baltimore.
- 2013 SIAM Conference on Mathematical Aspects of Materials Science, June 8 - June 12, 2013, Philadelphia.
- The ASME Applied Mechanics and Materials Conference, McMAT-2011, May 30- June 1, 2011, Chicago.
- Scientific Computing Around Louisiana: SCALA 2010 , Feb 5-6, 2010, Louisiana State University, Baton Rouge.
Teaching
- Analysis I (Fall 2016, Spring 2018)
- Analysis II (Spring 2017, Fall 2018)
- Linear Algebra (Spring 2016, Spring 2019)
- Introduction to Higher Math (Fall 2017)
- Differential Equation (Fall 2016, Fall 2018)
- Calculus I (Spring 2016, Fall 2016, Fall 2017, Summer 2018)
- Calculus II (Summer 2016, Spring 2019)
- Calculus III (Spring 2017, Spring 2019)
- Precalculus (Fall 2015, Summer 2016, Summer 2017)
- Finite Mathematics (online) (Summer 2017, Summer 2018)
- Finite Mathematics (Fall 2015, Spring 2016, Spring 2017)