Rigorous justification of the Reynolds equations for gas lubrication
Eduard Marušić‐Paloka, Maja Starčević · Comptes Rendus Mécanique · 2005
The goal of this Note is to give a rigorous justification of the compressible Reynolds model for gas lubrication, via asymptotic analysis. We start from the equations of motion of compressible viscous fluid in a thin domain and study the limit as the domain thickness tends to zero. At the limit we find the known engineering model. The key of the proof is the strong convergence for the pressure obtained by its decomposition.