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math.AP2013
Higher-order resonances and instability of high-frequency WKB solutions
Yong Lu
This paper focuses on the destabilizing role of resonances in high-frequency WKB solutions. Specifically, we study higher-order resonances associated with higher-order harmonics ge…
math.AP2013★ 3 cited
A stability criterion for high-frequency oscillations
Yong Lu, Benjamin Texier
We show that a simple Levi compatibility condition determines stability of WKB solutions to semilinear hyperbolic initial-value problems issued from highly-oscillating initial data…