Journal of Jishou University(Natural Sciences Edition) ›› 2022, Vol. 43 ›› Issue (2): 11-16.DOI: 10.13438/j.cnki.jdzk.2022.02.003

• Mathematics • Previous Articles     Next Articles

Well-Posedness of Solutions of Artificially Compressed Navier Stokes Equations with Jump Noise

ZHANG Fang   

  1. (School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210046,China)
  • Online:2022-03-25 Published:2022-07-14

Abstract: For  the difficulty of numerical calculation under incompressible constraints,the artificial compression method is introduced.With Lévy It formula,uniform a priori estimation,local monotonicity and weak convergence method,the existence and uniqueness of strong solutions of the artificial compression Navier- Stokes equation is obtained by the classical Minty-Browder method.

Key words: jump noise, artificial compression Navier Stokes equation, existence and uniqueness, Minty-Browder method

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