Mathematical Capillarity

MATH 4803 and 8803

Fall 2024

MW 2:00-3:15 PM, Skiles Room 271
INSTRUCTOR: John McCuan, 209 Skiles
Office Hours: TTh 2:00-4:45
Email: mccuangt23 proton.me
Course Page: http://www.math.gatech.edu/~mccuan/courses/capillarity/

Text: Equilibrium Capillary Surfaces, Robert Finn, Springer (1986)

Draft Notes: Mathematical Capillarity, John McCuan (2024)

Previous Draft Notes: Mathematical Capillarity, John McCuan (2020-2021)

Topics/Sections Covered:

  • Equations of Young and Laplace
  • Axially symmetric capillary surfaces
  • 2-D capillary equation(s); Euler elastica
  • Calculus of Variations (the method of Gauss)
  • Floating objects

    • Course Schedule

    Other Materials:

    A matrix result relevant to the maximum principle by Jacob Subosits

    Parametric mollification draft by John McCuan

    Final Exam Wedneday December 11 (2:40-5:30)

    Link to GT code