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Kuramoto-Sivashinsky Equation

The partial differential equation

u_t+del ^4u+del ^2u+1/2|del u|^2=0,

where del ^2 is the Laplacian, del ^4 is the biharmonic operator, and del is the gradient.

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References

Michelson, D. "Steady Solutions of the Kuramoto-Sivashinsky Equation." Physica D 19, 89-111, 1986.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 175, 1997.

Referenced on Wolfram|Alpha

Kuramoto-Sivashinsky Equation

Cite this as:

Weisstein, Eric W. "Kuramoto-Sivashinsky Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Kuramoto-SivashinskyEquation.html

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