Remark on the Convergence of Euler–Voigt Equations to Euler Equations in Rd

• Wanrong Yang ^[2] ; Aibin Zang ^[1]
  1. [1] Yichun University

     Yichun University

     China

     
  2. [2] North Minzu University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we investigate an approximation of the Euler equation by the Euler–Voigt equations in Rd (d = 2, 3). One can observe that a sequence of smooth solutions to the Euler–Voigt equations converges to the smooth one of Euler equations in Hm as the filter parameter (α) tends to zero with an initial velocity in Hm.

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