• Source: Buckmaster equation

In mathematics, the Buckmaster equation is a second-order nonlinear partial differential equation, named after John D. Buckmaster, who derived the equation in 1977. The equation models the surface of a thin sheet of viscous liquid. The equation was derived earlier by S. H. Smith and by P Smith, but these earlier derivations focused on the steady version of the equation.
The Buckmaster equation is





u

t


=
(

u

4



)

x
x


+
λ
(

u

3



)

x




{\displaystyle u_{t}=(u^{4})_{xx}+\lambda (u^{3})_{x}}


where



λ


{\displaystyle \lambda }

is a known parameter.




References

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