Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.
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2026 2verdicts
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Global weak solutions exist for the chiral Landau-Lifshitz equation with helical derivatives, with or without damping, via adapted Sobolev spaces and compatible energy estimates.
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Mixing and Small-Scale Formation in a Passive Divergence-Free Vector Field
Derives lower bounds on mixing rates for passive divergence-free vector fields under W^{1,q} constraints and provides numerical evidence for at least exponential optimal mixing via H^{-α} norm decay.
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Global existence of weak solutions for Landau-Lifshitz equation with helical derivatives
Global weak solutions exist for the chiral Landau-Lifshitz equation with helical derivatives, with or without damping, via adapted Sobolev spaces and compatible energy estimates.