Navier Stokes


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The orange curve is the graph of f(λ), with the error bounds shown by the orange shaded region. The blue curve is the graph of g(λ), with the error bounds shown by the blue shaded region. The white curve represents

$$a_{0}(\lambda, \nu)+f(\lambda, \nu)+g(\lambda, \nu)$$

The intersection of the white curve with the real-axis gives the unstable real Eigenvalue to the linearized navier-stokes equation.

To produce curves, type in the inputs into the text boxes bellow then press solve. For ν just type in a number. For p and q type in a vector in this form [1, 2]. Depth determines the depth to which the continued fractions are approximated.

ν: p: q: depth: