Katie Oliveras, Ph. D.

ASSOCIATE PROFESSOR OF MATHEMATICS

Research Publications

Reconstructions from Pressure Data

- Flow over a sill / K Oliveras, D Ferguson, and V. Vasan /
*in preparation* - A method to recover water-wave profiles from pressure measurements / V Vasan, K Oliveras, D Henderson, B Deconinck / Wave Motion /
*in press*/ 2017. - Water-wave profiles from pressure measurements: Extensions / V Vasan, KL Oliveras / Applied Mathematics Letters / 68 / 175-180 / 2017.
- Relationships between the pressure and the free surface independent of the wave-speed. / K Oliveras, V Vasan / Contemporary Mathematics / 635 / 157-173 / 2015.
- Pressure Beneath a traveling wave with constant vorticity. / V. Vasan and K. Oliveras / DCDS-A / 34 / 3219-3239 / 2014
- Relating the bottom pressure and the surface elevation in the water wave problem / B. Deconinck, K. L. Oliveras, and V. Vasan / Journal of Nonlinear Mathematical Physics / 2012.
- Recovering the water-wave profile from pressure measurements. / K.L. Oliveras, V. Vasan, B. Deconinck, and D. Henderson / SIAM Journal on Applied Mathematics / 2012
- Recovering the water-wave surface from pressure measurements. / B. Deconinck, D. Henderson, K.L. Oliveras, and V. Vasan / 10th International Conference on Mathematical and Numerical Aspects of Waves (Refereed Proceedings) / 2011 / (pdf)

Stability

- Stability of Traveling Waves with Constant Vorticity / K. Oliveras, P. Sprenger, and V. Vasan /
*in prep* - Nonlinear Traveling Internal Waves in Depth-Varying Currents / K. Oliveras and C. Curtis /
*submitted* - The transverse instability of periodic surface gravity waves. / K. Oliveras and B. Deconinck / Contemporary Mathematics / 635 / 131 - 156 / 2015.
- The instability of periodic surface gravity waves. / B. Deconinck and K. Oliveras / Journal of Fluid Mechanics / 675 / 141-167 / 2011 (pdf)

Model Equations & Formulations

- Shallow waves in density stratified shear currents / CW Curtis, KL Oliveras, T Morrison / European Journal of Mechanics-B /Fluids / 61 / 100-111 / 2017
- A New Equation for the Water-Wave Problem / K. Oliveras and V. Vasan / Journal of Fluid Mechanics / 717 / 514-522 / 2013.

Additional Writings

Model Equations & Formualtions

- Book Review: Differental Equations with Boundary Value Problems, 2nd Edition by Brannan & Boyce. / K.L. Oliveras / SIAM Review / March 2012.

Commentaries

- Judges Commentary: Cooperate and Navigate Carol Overdeep, Katie Oliveras, and David H. Olwell
- Judges Commentary: The Goodgrant Challenge Papers / David H. Olwell, Carol Overdeep, and Katie Oliveras / The UMAP Journal / 37 / 3 / 325-331 / 2016.

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