High-dynamic range imaging and monitoring with very-long-baseline interferometry reveal a rich morphology of luminous flat-spectrum radio sources. One-sided core-jet structures abound, and superluminal motion is frequently measured. In a few cases, both distinct moving features and diffuse underlying jet emission can be detected. Superluminal motion seen in such sources is typically complex, on curved trajectories or ridge lines, and with variable component velocities, including stationary features. The curved trajectories seen can be modeled by helical motion within the underlying jet flow. The very-long-baseline interferometry properties of the superluminal features in the jet of 3C 345 and other similar sources can be explained by models invoking the emission from shocks, at least within the vicinity of the compact core. Inverse-Compton calculations, constrained by x-ray observations, yield realistic estimates for the physical conditions in the parsec-scale jet. There is evidence for a transition region in this source beyond which other factors (e.g., plasma interactions and nonsynchrotron radiation processes) may become prominent. Multifrequency and polarization imaging (especially at high frequencies) are emerging as critical tools in testing model predictions.The study of prominent flat-spectrum sources with very-longbaseline interferometry (VLBI) provides arguably the best opportunity for testing physical models of parsec-scale radio jets. Until only a few years ago, observing opportunities were limited (owing to the lack of dedicated VLBI arrays), and at best a sketchy time coverage for monitoring was possible; angular resolution and frequency coverage were typically not optimal, and polarization information was often lacking entirely. Routine access to high-quality observations has become possible especially since the Very Long Baseline Array (VLBA) began operations in 1992 (1); coordinated global VLBI campaigns with the European VLBI network and the "World Array" campaigns have made possible images of outstanding fidelity (2). At millimeter wavelengths, limited ad hoc arrays have been operating, resulting in images with highest resolution, albeit modest overall fidelity (3-5).The results from the various VLBI surveys (6) primarily address general questions concerning the statistical properties of sources in well-defined samples. A notable exception is the complete S5 sample of high-declination flat-spectrum sources that have been studied in great detail (7). In this paper, we first highlight several recent results that demonstrate the improvement in detail from state-of-the art VLBI imaging. We then review some of the observational findings that have resulted from detailed VLBI monitoring studies of specific sources. We will give special emphasis to the quasar 3C 345, as this isThe publication costs of this article were defrayed in part by page charge payment. This article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. §1734 solely to indicate this fact.perhaps the...