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  • Using the theory of calculus of variation, the velocity (u, v) minimising Eq 5 satisfies the Euler–Lagrange equations of ζ, given by Ex2u+ExEyv=η2Δu-ExEt,ExEyu+Ey2v=η2Δv-EyEt,(6) where Δu and Δv are the Laplacians of u and v, defined as Δu=∂2u∂x2+∂2u∂y2andΔv=∂2v∂x2+∂2v∂y2.
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