Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

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Détails bibliographiques
Auteurs principaux : Wang Chao (Auteur), Zhang Zhifei (Auteur), Zhao Weiren (Auteur), Zheng Yunrui (Auteur)
Format : Livre
Langue : anglais
Titre complet : Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary / Chao Wang, Zhifei Zhang, Weiren Zhao [et al.]
Publié : Providence, Rhode Island : American Mathematical Society , 2021
Description matérielle : 1 vol. (v-119 pages)
Collection : Memoirs of the American Mathematical Society ; 1318
Sujets :
  • Tools of paradifferential operators
  • Parabolic evolution equation
  • Elliptic estimates in a strip
  • Dirichlet-Neumann operator
  • New formulation and paralinearization
  • Estimate of the pressure
  • Estimate of the velocity
  • Proof of break-down criterion
  • Iteration scheme
  • Uniform energy estimates
  • Cauchy sequence and the limit system
  • From the limit system to the Euler equations
  • Proof of Theorem 1.1