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Local existence for an isentropic compressible Navier-Stokes-P₁ approximate model arising in radiation hydrodynamics

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In this paper we prove the local existence of strong solutions to an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics in a bounded domain with vacuum.

Abstract

In this paper we prove the local existence of strong solutions to an isentropic compressible Navier-Stokes-$P1$ approximate model arising in radiation hydrodynamics in a bounded domain with vacuum.

참고문헌 (11)

  1. Thomas Alazard, "Low Mach Number Limit of the Full Navier-Stokes Equations", Archive for Rational Mechanics and Analysis, 180(1), pp.1~73 (2006), Springer Science and Business Media LLC[DOI]
  2. S. Chandrasekhar, "Radiative Transfer" (1960), Dover Publications, Inc
  3. Raphaël Danchin, "The Low Mach Number Limit for a Barotropic Model of Radiative Flow", SIAM Journal on Mathematical Analysis, 48(2), pp.1025~1053 (2016), Society for Industrial & Applied Mathematics (SIAM)[DOI]
  4. Changsheng Dou, "Low Mach number limit of full Navier–Stokes equations in a 3D bounded domain", Journal of Differential Equations, 258(2), pp.379~398 (2015), Elsevier BV[DOI]
  5. Jishan Fan, "Non-relativistic and low mach number limits of two $P1$ approximation model arising in radiation hydrodynamics", Communications in Mathematical Sciences, 14(7), pp.2023~2036 (2016), International Press of Boston[DOI]
  6. Jishan Fan, "Local well-posedness and blow-up criterion for a compressible Navier-Stokes-Fourier-P1 approcimate model arising in radiation hydrodynamics", Mathematical Methods in the Applied Sciences, 40(18), pp.6987~6997 (2017), Wiley[DOI]
  7. H. Gong, "Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum", arXiv: 1905.07851, ~
  8. Fangyi He, "Local well-posedness and blow-up criterion for a compressible Navier-Stokes-P1 approximate model arising in radiation hydrodynamics", ZAMM - Journal of Applied Mathematics and Mechanics, 2018, pp.98(9), 1632~1641[DOI]
  9. X. Huang, "On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum", arXiv: 1905.11809, ~
  10. Song Jiang, "Nonrelativistic Limit of the Compressible Navier--Stokes--Fourier--P1 Approximation Model Arising in Radiation Hydrodynamics", SIAM Journal on Mathematical Analysis, 47(5), pp.3726~3746 (2015), Society for Industrial & Applied Mathematics (SIAM)[DOI]
  11. G. Métivier, "The Incompressible Limit of the Non-Isentropic Euler Equations", Archive for Rational Mechanics and Analysis, 158(1), pp.61~90 (2001), Springer Science and Business Media LLC[DOI]

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