The Euler equations in planar nonsmooth convex domains

@article{Bardos2013TheEE,
  title={The Euler equations in planar nonsmooth convex domains},
  author={Claude W. Bardos and Francesco Di Plinio and Roger Temam},
  journal={Journal of Mathematical Analysis and Applications},
  year={2013},
  volume={407},
  pages={69-89}
}
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18 Citations
Highly Influential Citations
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9
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18 Citations

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When the velocity field is not a priori known to be globally almost Lipschitz, global uniqueness of solutions to the two-dimensional Euler equations has been established only in some special cases,…
Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner
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The Two Dimensional Euler Equations on Singular Exterior Domains
This paper is a follow-up of Gérard-Varet and Lacave (Arch Ration Mech Anal 209(1):131–170, 2013), on the existence of global weak solutions to the two dimensional Euler equations in singular…
The 2D Euler–Boussinesq Equations in Planar Polygonal Domains with Yudovich’s Type Data
We address the well-posedness of the 2D (Euler)–Boussinesq equations with zero viscosity and positive diffusivity in the polygonal-like domains with Yudovich’s type data, which gives a positive…
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References

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