On left and right model categories and left and right Bousfield localizations

We verify the existence of left Bouseld localizations and of enriched left Bouseld localizations, and we prove a collection of useful technical results characterizing certain brations of (enriched) left Bouseld localizations. We also use such Bouseld localizations to construct a number of new model categories, including models for the homotopy limit of right Quillen presheaves, for Postnikov towers in model categories, and for presheaves valued in a symmetric monoidal model category satisfying a homotopy-coherent descent condition. We then verify the existence of right Bouseld localizations of right model categories, and we apply this to construct a model of the homotopy limit of a left Quillen presheaf as a right model category.