Motivated by the rotational compressible Euler equations, we consider the long-time behavior of small-data solutions to forced nonlinear wave equations, where the force is regular and small, but non-decaying in time. In the cubic and semilinear setting, we construct global-in-time solutions which remain small in a suitable sense. The proof relies on exploiting the decay of solutions away from outgoing null cones using r^p estimates. This is joint work with John Anderson (Stony Brook University).