I have uploaded a pdf file documenting the derivation of Calvo style Phillips curves for domestic, export and import prices in a small open economy model with stochastic growth. I derive the optimality conditions, stationarize the non-stationary variables and log-linearize the model. I have not described each step of the derivation using text but the algebra is quite detailed.
It may be useful for researchers working with log-linearized small open economy DSGE models along the lines of Adolfson et al (2007) or Justiniano and Preston (2010).
Please email me at firstname.lastname@example.org if you find any errors.