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math.AP2020★ 2 cited
Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
Gong Chen, Qingtang Su
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-…
math.AP2020★ 3 cited
On the transition of the Rayleigh-Taylor instability in 2d water waves
Qingtang Su
In this paper we prove the existence of water waves with sign-changing Taylor sign coefficients, that is, the strong Taylor sign holds initially, while breaks down at a later time,…