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Address:
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16 Colchester
Ave, Burlington, VT 05401
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Phone:
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802-656-8539 Fax: 802-656-2552
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E-mail:
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Areas
of expertise:
Mathematical modeling,
asymptotic and numerical analysis of differential equations, hydrodynamic
stability, perturbation theory, biomedical mathematics.
Applications:
Shallow-water waves,
human brain modeling, ocean and sea ice study.

Teaching:
I
generally teach both undergraduate and graduate courses, including courses for
calculus sequences, numerical analysis, and ordinary and partial differential
equations.

Highlights of Recent Research:
1.) Nonlinear analysis for shallow water and solid combustion models:
Spindler R. and Yu, J. (2006).
Nonlinear Spatial Evolution of Small Disturbances from Boundary Conditions in
flat Inclined-Channel Flow. Studies in Applied Mathematics 116: 173-200.
Yu, J. and Yang, Y. (2005). Nonlinear Analysis on
Transition to form Coherent Structures. Advances in Engineering Mechanics-
Reflections and Outlook: In Honor of Theodore Y.-T. Wu, (A. T. Chwang, M.
H. Teng and D. T. Valentine, editors, the World Scientific Publishing Company,
pp.613-624. ISBN 981-256-144-7).
Gross, L. and Yu, J. (2005).
Weakly Nonlinear and Numerical Analyses of Dynamics in a Solid Combustion
Model. SIAM Journal on Applied Mathematics, Vol.65, No.5, pp.1708-1725.
Yu, J. and Yang, Y. (2004). Approximate Solution to the
Nonlinear Heat Conduction Equation. Submitted to Nonlinear Analysis, Theory,
Methods, & Applications, Series A: Theory and Methods.
Yu, J. and Yang, Y. (2003). Evolution of Small Periodic
Disturbances into Roll Waves in Channel Flow with Internal Dissipation. Studies
in Applied Mathematics 111: 1-27.
Yu, J., Liu, A. K. and Zhao, Y. (2006). Sea Ice Motion and
Deformation in the Marginal Ice Zone through SAR. Accepted for inclusion in a
book: Advances in Geosciences 2005, (Hyo Choi, Editor-in-Chief), World Scientific
Publishing Company.
Yu, J. and Gloersen, P. (2006). Interannual Variations in
Pacific SST Deviations through AVHRR. Accepted for inclusion in a book: Advances in Geosciences 2005, (Hyo Choi, Editor-in-Chief), World Scientific
Publishing Company.
Yu, J. and Gloersen, P. (2005).Interannual Variations in
Global SST Deviations through SMMR from 1978 to 1987, International Journal
of Remote Sensing, Vol. 26, No. 24, pp.5419-5431.
Yu, J. and Liu, A. K. (2005). Sea Ice Floe Tracking and
Motion Analysis for SAR Imagery in the Marginal Ice Zone. Advances in Engineering Mechanics- Reflections and
Outlook: In Honor of Theodore Y.-T. Wu, (A. T. Chwang, M. H. Teng and D. T. Valentine, editors, the World
Scientific Publishing Company, pp.681-690. ISBN 981-256-144-7).
Yu, J. (2004). Weakly Nonlinear Evolution of Small Disturbances
in the Presence of Linear Instability. Appeared in a book, Observation,
Theory, and Modeling of Atmospheric Variability, (Chief Editor, Xun Zhu),
World Scientific Publishing Company (ISBN 981-238-704-8).
3.) Collaboration with the Goodrich:
Bechhoefer, E. and Yu, J.
(2005). Algorithm Development to Ascertain the True Characteristic Impedance of
a Wire for Wire Diagnostics. Presented at the 2005 IEEE Aerospace Conference,
Big Sky, Montana, March, 2005.
4.) Biomathematics:
Lakin, W.D., Yu, J., and Penar,
P. (1999). Analysis and Validation of a Mathematical Model for Intracranial
Pressure Dynamics. Mathematical and Computer Modeling of Dynamical Systems,
V. 5, No. 1, pp. 55-73.

Other links
The current weather
in Burlington.

Last modified May 8, 2006