University of Colorado Denver College of Liberal Arts and Sciences

Bio

Lynn Bennethum has a BS and MS in Mechanical Engineering and an MS and PhD in Applied Mathematics under the advisement of Jim Douglas Jr and John H. Cushman. She did her post doc in the field of Agronomy (soil physics). Her primary focus is on modeling porous materials (soils, biotissue, drug-delivery systems) using thermodynamics. Current projects include modeling a drug-delivery polymer (such as what is used in Aleve), the cilia of lungs passages that help propagate mucus, and partially saturated soils.

Select Publications

• L. Schreyer-Bennethum, Macroscopic Flow Potentials in Swelling Porous Media, Transport in Porous Media 94(1), pp. 47-68, 2012. 
• L. Schreyer-Bennethum and L. Albright, Evaluating the Incorporation of Technology and Application Projects in the Higher Education Mathematics Classroom, International Journal of Mathematical Education in Science and Technology 42(1), pp. 53-63, 2011. 
• J. Mandel, L.S. Bennethum, J.D. Beezley, J.L. Coen, C.C. Douglas, L.P. Franca, M. Kim, and A. Vodacek, A Wildland Fire Model with Data Assimilation Mathematics and Computers in Simulation 79, pp. 584-606, 2008.
  
• T.F. Weinstein, L.S. Bennethum, J.H. Cushman, Multiscale, Three-Phase Theory for Swelling Drug Delivery Systems. Part I: Constitutive Theory. Journal of Pharmaceutical Sciences, 97(5), pp. 1878-1903, 2008.
  
• T.F. Weinstein, L.S. Bennethum, J.H. Cushman, Multiscale, Three-Phase Theory for Swelling Drug Delivery Systems. Part II: Flow and Transport Models. Journal of Pharmaceutical Sciences, 97(5), pp. 1904-1915, 2008. 
• Lynn Schreyer-Bennethum. Theory of Flow and Deformation of Swelling Porous Materials at the Macroscale. Computers and Geotechnics, 34, pp. 267-278, 2007. 
• T. Weinstein and L. S. Bennethum. On the Derivation of the Transport Equation for Swelling Porous Materials with Finite Deformation. International Journal of Engineering Science, 44(18-19), pp. 1408-1422, 2006. 
• L. S. Bennethum. Compressibility Moduli for Porous Materials Incorporating Volume Fraction, Journal of Engineering Mechanics, 132(11), pp. 1205-1215, 2006. 
• L. S. Bennethum. Flow and Deformation: Understanding the Assumptions and Thermodynamics, in Proceedings of the XVth International Conference on Computational Methods in Water Resources (CMWR XV), June 13-17, 2004, Chapel Hill, NC, Volume 1, pp. 349-357, 2004. 
• J. H. Cushman, L. S. Bennethum, and P. P. Singh. Toward Rational Design of Drug Delivery Substrates: I. Mixture Theory for Two-Scale Biocompatible Polymers, Multiscale Modeling and Simulation, 2(2), pp. 302-334, 2004. 
• J. H. Cushman, P. P. Singh, and L. S. Bennethum. Toward Rational Design of Drug Delivery Substrates: II. Mixture Theory for Three-Scale Biocompatible Polymers and a Compuational Example, Multiscale Modeling and Simulation, 2(2), pp. 335-357, 2004. 
• L. S. Bennethum and T. Weinstein. Three Pressures in Porous Media, Transport in Porous Media, 54(1), pp. 1-34, 2004. 
• P. P. Singh, J. H. Cushman, L. S. Bennethum, and D. E. Maier. Thermomechanics of Swelling Biopolymeric Systems, Transport in Porous Media, 53, pp. 1-24, 2003. 
• L. S. Bennethum. Charge Neutrality - Does it Exist? in Proceedings of Symposium on the Mechanics of Physicochemical and Electromechanical Interactions in Porous Media, May 18-23, 2003, The Netherlands. 
• J. H. Cushman, L. S. Bennethum, and B. X. Hu. A Primer on Upscaling Tools for Porous Media, Advances in Water Resources, 25 (8-12), pp. 1043 - 1067, 2002. 
• L. S. Bennethum and J. H. Cushman. Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics:  I. Macroscale Field Equations, Transport in Porous Media, 47(3), pp. 309-336, 2002. 
• L. S. Bennethum and J. H. Cushman. Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory, Transport in Porous Media, 47(3), pp. 337-362, 2002. 
• L. S. Bennethum, M.M. Murad, and J. H. Cushman. Macroscale Thermodynamics and the Chemical Potential for Swelling Porous Media, Transport in Porous Media, 39(2), pp. 187-225, 2000. 
• L. S. Bennethum and J. H. Cushman. Coupled Solvent and Heat Transport of a Mixture of Swelling Porous Particles and Fluids:  Single Time-Scale Problem, Transport in Porous Media, 36(2), pp. 211-244, 1999. 
• L. S. Bennethum, M. A. Murad, and J. H. Cushman. Modified Darcy's Law, Fick's Law, and Terzaghi's Effective Stress Principle for Swelling Clay Soils , Computers and Geotechnics, 20(3/4), pp. 245-266, 1997. 
• L. S. Bennethum and T. Giorgi. Generalized Forchheimer Law for Two-Phase Flow Based on Hybrid Mixture Theory, Transport in Porous Media, 26(3), pp. 261-275, 1997. 
• X. Feng and L. S. Bennethum. A Domain Decomposition Method for Solving a Helmholtz-like Problem In Elasticity using a Wilson Nonconforming Element , Mathematical Modelling and Numerical Analysis, 31(1), pp. 1-25, 1997. 
• L. S. Bennethum, M. A. Murad, and J. H. Cushman. Clarifying Mixture Theory and the Macroscale Chemical Potential, International Journal of Engineering Science, 34(14), pp. 1611-1621, 1996. 
• L. S. Bennethum and J. H. Cushman. Multiphase, Multicomponent Theory for Multiscale Swelling Systems with Interfaces. Part I: Balance Laws, International Journal of Engineering Science, 34(2), pp. 125-145, 1996. 
• L. S. Bennethum and J. H. Cushman. Multiphase, Multicomponent Theory for Multiscale Swelling Systems with Interfaces. Part II: Constitutive Theory, International Journal of Engineering Science, 34(2), pp. 147-169, 1996. 
• M. A. Murad, L. S. Bennethum, and J. H. Cushman. A Multi-Scale Theory of Swelling Porous Media: I. Application to One-Dimensional Consolidation, Transport in Porous Media, 19, pp. 93-122, 1995. 
• J. Douglas, Jr., J. Santos, D. Sheen, and L. S. Bennethum. Frequency Domain Treatment of One-Dimensional Scalar Waves, Mathematical Models and Methods in Applied Sciences, 3, pp. 171-194, 1993.

Courses Taught

MATH 3200: Elementary Differential Equations
MATH 4733/5733: Partial Differential Equations
MATH 4791/5790: Continuous Modeling
MATH 6735: Continuum Mechanics