Abstract: A restaurant emissions abatement system is disclosed which employs a rotary heat regenerative thermal or catalytic oxidizer. Thus, heat which normally would be exhausted into the atmosphere, is recovered by being transferred to incoming unoxidized restaurant emissions. The rotary oxidizers may be of a variety of designs including orientations which allow for perpendicular or axial flow of the emissions stream through the rotary oxidizer relative to the axis of rotation. The rotary design of the oxidizers also provides an advantage of permitting in-situ cleaning of the oxidizer (i.e., not having to remove oxidizer from abatement system) by simply lowering the speed of the oxidizer's rotation or stopping rotation altogether to permit hot gases to thoroughly oxidize accumulations of such contaminants as greases and fats.