Polymer foam is made from a two-component foam system. The foam system includes an A-side component which contains a multifunctional Michael acceptor and a blowing agent that has a boiling temperature in the range −40° C. to +100° C. The system also includes a B-side component that contains a multifunctional carbon-Michael donor, a surfactant and a blowing agent that has a boiling temperature in the range −40° C. to +100° C. The viscosities of each of the components are 2,500 cPs or lower. Foam is made by separately pressurizing the components, then separately depressurizing them so they each at least partially expand. The partially expanded materials are then combined in the presence of a carbon-Michael reaction catalyst to form a reaction mixture which is cured to form the polymer foam.