Analysis of the Reynolds Equation for Lubrication in Case of Pressure-Dependent Viscosity
Eduard Marušić‐Paloka, Sanja Marušić · Mathematical Problems in Engineering · 2013
We study the Reynolds equation, describing the ow of a lubricant, in case of pressure-dependent viscosity. First we prove the existence and uniqueness of the solution. Then, we study the asymptotic behavior of the solution in case of periodic roughness via homogenization method. Some interesting nonlocal effects appear due to the nonlinearity.