Publications: Tree Sap Flow and Maple Exudation

• Experimental and computational comparison of freeze-thaw induced pressure generation in red and sugar maple (with M. Zarrinderakht, I. Konrad, T.R. Wilmot, T.D. Perkins and A. van den Berg).
  Tree Physiology, in press, 2024.   [ arXiv ]
• Asymptotic and numerical analysis of a porous medium model for transpiration-driven sap flow in trees (with B.M. Janbek).
  SIAM Journal on Applied Mathematics, 78(4):2028-2056, 2018.   [ DOI | arXiv | MR3835602 ]
• A two-scale Stefan problem arising in a model for tree sap exudation (with I. Konrad and M.A. Peter).
  IMA Journal on Applied Mathematics, 82(4):726-762, 2017.   [ DOI | arXiv | MR3685101 ]
• Multi-layer asymptotic solution for wetting fronts in porous media with exponential moisture diffusivity (with C.J. Budd).
  Studies in Applied Mathematics, 136(4):424-458, 2016.   [ DOI | arXiv | MR3493693 ]
• Multiscale model of a freeze-thaw process for tree sap exudation (with I. Graf and M. Ceseri).
  Journal of the Royal Society Interface, 12(111):20150665, 2015.   [ DOI | arXiv | RS blog ]
• A mathematical model for maple sap exudation (with I. Graf).
  Maple Syrup Digest, 26A(4):15-19, December 2014.   [ Web ]
• A three-phase free boundary problem with melting ice and dissolving gas (with M. Ceseri).
  European Journal of Applied Mathematics, 25(4):449-480, 2014.   [ DOI | arXiv | MR3225283 ]
• A mathematical model for sap exudation in maple trees governed by ice melting, gas dissolution and osmosis (with M. Ceseri).
  SIAM Journal on Applied Mathematics, 73(2):649-676, 2013.   [ DOI | arXiv | SIAM Nugget | ScienceDaily | MR3033167 ]