Lucas Bouck

Department of Mathematical Sciences

Carnegie Mellon University

Pittsburgh, PA

I am a Postdoctoral Associate in the Department of Mathematical Sciences at Carnegie Mellon University.

My research interests are in mathematical modeling, partial differential equations, calculus of variations, and numerical analysis. Much of my work concerns the modeling, analysis, and finite element approximation of liquid crystals, liquid crystal elastomers, and thin elastic structures.

A PDF of my CV is available, and a list of my publications can be found on the publications page.

selected publications

Plate theory for metric-constrained actuation of liquid crystal elastomer sheets

Lucas Bouck, David Padilla-Garza, and Paul Plucinsky

Journal of Elasticity, 2025

arXiv HTML

JMPS

Reduced membrane model for liquid crystal polymer networks: Asymptotics and computation

Lucas Bouck, Ricardo H. Nochetto, and Shuo Yang

Journal of the Mechanics and Physics of Solids, 2024

DOI arXiv Bib HTML Video

@article{bouck2024reduced,
  title = {Reduced membrane model for liquid crystal polymer networks: Asymptotics and computation},
  author = {Bouck, Lucas and Nochetto, Ricardo H. and Yang, Shuo},
  journal = {Journal of the Mechanics and Physics of Solids},
  volume = {187},
  year = {2024},
  publisher = {Elsevier},
  doi = {10.1016/j.jmps.2024.105607},
}

J. Nonlinear Sci.

A hydrodynamical model of nematic liquid crystal films with a general state of orientational order

Lucas Bouck, Ricardo H. Nochetto, and Vladimir Yushutin

Journal of Nonlinear Science, 2024

DOI arXiv Bib HTML Video

@article{bouck2024hydrodynamical,
  title = {A hydrodynamical model of nematic liquid crystal films with a general state of orientational order},
  author = {Bouck, Lucas and Nochetto, Ricardo H. and Yushutin, Vladimir},
  journal = {Journal of Nonlinear Science},
  volume = {34},
  number = {1},
  year = {2024},
  publisher = {Springer},
  doi = {10.1007/s00332-023-09970-6},
}