This program focuses on the issues of dynamics and stability of plasmas in physical situations relevant to inertial confinement fusion and the development of Z-pinch plasma x-ray radiation sources. Problems currently under investigation include (1) Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instabilities in dynamic radiating plasmas; (2) early-time perturbation growth in laser targets, laser imprint, ablative RM instability, feedout; (3) mitigation of the RT instability and design of RT-resistant laser targets and Z-pinch loads; (4) stabilizing effects of either applied magnetic fields (both axial and azimuthal, external or trapped) or density and composition tailoring; (5) power amplification in vacuum; and (6) investigation of innovative approaches to increasing yield, power, and hardness of the x-ray output from existing and proposed pulsed power facilities. The work involves design and interpretation of experiments, analytical theory, and numerical simulation.