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von Kármán Equations

The system of partial differential equations

del ^4u=E(v_(xy)^2-v_(xx)v_(yy))
(1)
del ^4v=alpha+beta(u_(yy)v_(xx)+u_(xx)v_(yy)-2u_(xy)v_(xy)),
(2)

where del ^4 is the biharmonic operator.

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References

Ames, K. A. and Ames, W. F. "On Group Analysis of the Von Kármán Equation." Nonlinear Anal. 6, 845-853, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 138, 1997.

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von Kármán Equations

Cite this as:

Weisstein, Eric W. "von Kármán Equations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/vonKarmanEquations.html

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