Homogenization of a compressible cavitation model
John Fabricius, Afonso Fernando Tsandzana, Peter Wall · European Journal of Applied Mathematics · 2015
We develop a mathematical model in hydrodynamic lubrication that takes into account three phenomena: cavitation, surface roughness and compressibility of the fluid. Like the classical Reynolds equation, the model is mass preserving. We compute the homogenized coefficients in the case of unidirectional roughness. A one-dimensional problem is also solved explicitly.