Blowup of solutions of the hydrostatic Euler equations. (English) Zbl 1311.35200
The author proves that certain smooth solutions of the hydrostatic approximation of the 2D incompressible homogeneous Euler equation in the horizontal strip \(\mathbb R\times [0,1]\) may blow up in finite time in \(L^{\infty}\) norm.
Reviewer: Bernard Ducomet (Bruyères le Châtel)
MSC:
| 35Q31 | Euler equations |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35L04 | Initial-boundary value problems for first-order hyperbolic equations |
| 35L60 | First-order nonlinear hyperbolic equations |
| 35Q35 | PDEs in connection with fluid mechanics |
| 76B99 | Incompressible inviscid fluids |
| 35B44 | Blow-up in context of PDEs |
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