Incompressible limit of the Navier-Stokes model with a growth term

Nicolas Vauchelet (1) , Ewelina Zatorska (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 Department of Mathematics [Imperial College London]

Starting from isentropic compressible Navier-Stokes equations with growth term in the continuity equation, we rigorously justify that performing an incompressible limit one arrives to the two-phase free boundary fluid system.

Mots clés: Compressible Navier-Stokes equation; asymptotic analysis; cell growth models 2010 AMS subject classifications: 35Q35

Domaines: Equations aux dérivées partielles [math.AP]

Nicolas Vauchelet, Ewelina Zatorska. Incompressible limit of the Navier-Stokes model with a growth term. Nonlinear Analysis: Theory, Methods and Applications, 2017, 163, pp.34. ⟨hal-01525856⟩