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Quasiperiodic Solutions of the Generalized SQG Equation

2026 - Princeton University Press

392 p.

(1,2){dollar}, in a neighborhood of the disk solution. These solutions exist globally in time without developing singularities, which sheds light on an important question about the behavior of geophysical fluid models. This work provides new insights into global dynamics in a mathematically challenging regime where standard perturbative methods are insufficient. And the techniques developed here offer potential applications to other evolution equations in mathematical physics, making this a valuable resource for researchers in partial differential equations, fluid dynamics, and related fields. [Publisher's text]