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Wellposedness of the tornado-hurricane equations

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2010

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https://doi.org/10.3934/dcds.2010.26.649
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Discrete & Continuous Dynamical Systems - Series A. American Institute of Mathematical Sciences (AIMS). 2010, 26(2), pp. 649-664. ISSN 1078-0947. eISSN 1553-5231. Available under: doi: 10.3934/dcds.2010.26.649

Zusammenfassung

We prove local-in-time existence of a unique mild solution for the tornado-hurricane equations in a Hilbert space setting. The wellposedness is shown simultaneously in a halfspace, a layer, and a cylinder and for various types of boundary conditions which admit discontinuities at the edges of the cylinder. By an approach based on symmetric forms we first prove maximal regularity for a linearized system. An application of the contraction mapping principle then yields the existence of a unique local-in-time mild solution.

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Fachgebiet (DDC)
510 Mathematik

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cyclones, Weakly compressible Navier-Stokes equations, wellposedness

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ISO 690SAAL, Jürgen, 2010. Wellposedness of the tornado-hurricane equations. In: Discrete & Continuous Dynamical Systems - Series A. American Institute of Mathematical Sciences (AIMS). 2010, 26(2), pp. 649-664. ISSN 1078-0947. eISSN 1553-5231. Available under: doi: 10.3934/dcds.2010.26.649
BibTex
@article{Saal2010Wellp-51540,
  year={2010},
  doi={10.3934/dcds.2010.26.649},
  title={Wellposedness of the tornado-hurricane equations},
  number={2},
  volume={26},
  issn={1078-0947},
  journal={Discrete & Continuous Dynamical Systems - Series A},
  pages={649--664},
  author={Saal, Jürgen}
}
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