John Gibson

John Gibson

Phone: (603) 862-2681
Office: Mathematics & Statistics, Kingsbury Hall Rm N309 E, Durham, NH 03824

My primary research interest is understanding turbulence through dynamical systems theory. The key idea is to compute unstable invariant solutions of the Navier-Stokes equations (steady states, traveling waves, and periodic orbits) and describe turbulent dynamics as a chaotic walk between these unstable solutions along the low-dimensional network of their unstable manifolds. Additional interests include numerical methods, scientific computing, open-source software, the Julia programming language, and open education.

Courses Taught

  • IAM 550: Intro to Engineering Computing
  • IAM 961: Numerical Linear Algebra
  • IAM 999: Doctoral Research
  • MATH 527: Diff Equation w/Linear Algebra
  • MATH 531: Mathematical Proof
  • MATH 747/847: Intro Nonlinear Dynamics&Chaos
  • MATH 753/853: Intro to Numerical Methods I


  • Ph.D., Theoretical & Applied Mechanics, Cornell University
  • B.A., Liberal Arts, St. John's College

Research Interests

  • Applied Mathematics
  • Computational Mathematics
  • Fluid Dynamics
  • Nonlinear Dynamics

Selected Publications

  • Brand, E., & Gibson, J. F. (2014). A doubly localized equilibrium solution of plane Couette flow. JOURNAL OF FLUID MECHANICS, 750. doi:10.1017/jfm.2014.285

  • Schneider, T. M., Gibson, J. F., & Burke, J. (2010). Snakes and Ladders: Localized Solutions of Plane Couette Flow. PHYSICAL REVIEW LETTERS, 104(10). doi:10.1103/PhysRevLett.104.104501

  • Gibson, J. F., Halcrow, J., & Cvitanovic, P. (2008). Visualizing the geometry of state space in plane Couette flow. JOURNAL OF FLUID MECHANICS, 611, 107-130. doi:10.1017/S002211200800267X