Zachary Hilliard, Ph.D.

Bio

Dr. Hilliard grew up in Richland Washington.  He received his B.S. in Mechanical Engineering from Washington State University in 2014 and his Ph.D. in Mathematics in 2020, also from Washington State University.  In 2022, he held a post-doctorate position at Oregon State University.  Additionally, he worked for several years at the Pacific Northwest National Laboratory (PNNL) and taught at Grove Christian School.

Outside of mathematics, Dr. Hilliard enjoys drawing and playing volleyball.

Research Interests

• Partial Differential Equations
• Finite Element Methods
• Optimization

Publications

L. Schreyer and Z. Hilliard, Derivation of generalized Cahn-Hilliard equation for two-phase flow in porous media using hybrid mixture theory, Advances in Water Resources, 2021, 149, 104839.

L. Schreyer, N. Voulgarakis, Z. Hilliard, S. Lapin and L. Cobb, Modeling refugee movement based on a continuum mechanics phase-field approach of porous media. SIAM J. Appl. Math, 2021, 81 (5), 2061-2082.

Z. Hilliard and P. Hrma, A method for determining bulk density, material density, and porosity of melter feed during nuclear waste vitrification. J. American Ceramic Society, 2015, 99 (1), 98-105.

Affiliations

Society for Industrial and Applied Mathematics (SIAM)

Awards

Researcher of the month by the Western Region of the National Association of Graduate-Professional Students (W-NAGPS), March 2019.