Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations

@inproceedings{Sarria2015BlowupIS,
  title={Blowup in stagnation-point form solutions of the inviscid 2d Boussinesq equations},
  author={Alejandro Sarria and Jiahong Wu},
  year={2015}
}
The 2d Boussinesq equations model large scale atmospheric and oceanic flows. Whether its solutions develop a singularity in finite-time remains a classical open problem in mathematical fluid dynamics. In this work, blowup from smooth nontrivial initial velocities in stagnation-point form solutions of this system is established. On an infinite strip Ω = {(x, y) ∈ [0, 1] × R}, we consider velocities of the form u = ( f (t, x),−y fx(t, x)), with scalar temperature θ = yρ(t, x). Assuming fx(0, x… CONTINUE READING

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