Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.
Pure and Applied Mathematics Quarterly 20(3 Special Issue), 1313–1370, (2024)
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Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids
Initial data close to large quasi-periodic traveling waves in the β-plane equation remain close for arbitrary long times independent of wave size, yielding almost global existence for open sets of large initial data.