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Johndcook

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Closed-form minimal surface solutions

  • Differential equations, especially nonlinear differential equations, rarely have a closed-form solution, but sometimes it happens.
  • This article presents some closed-form solutions of the minimal surface equation.
  • The closed-form solutions include planes, helicoid, catenoid, and Scherk's surface.
  • These solutions satisfy the minimal surface PDE but may not satisfy specific boundary conditions.

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