John Gibson

John Gibson

Associate Professor
Phone: (603) 862-2681
Office: Kingsbury Hall, Room N309e, Durham, NH 03824
Websites:
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
  • INCO 590: Student Research Experience
  • 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
  • TECH 411: Innovation Scholars I
  • TECH 412: Innovation Scholars II

Education

  • 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

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