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AN INSTABILITY DUE TO THE NONLINEAR COUPLING OF<i>p</i>-MODES TO<i>g</i>-MODES: IMPLICATIONS FOR COALESCING NEUTRON STAR BINARIES
A weakly nonlinear fluid wave propagating within a star can be unstable to three-wave interactions. The resonant parametric instability is a well-known form of three-wave interaction in which a primary wave of frequency $\omega_a$ excites a pair of secondary waves of frequency $\omega_b+\omega_c \simeq \omega_a$. Here we consider a nonresonant …