New commutator estimates in Triebel-Lizorkin spaces enable a unified theory for local well-posedness of transport-type equations and the two-component Euler-Poincaré system in sub-critical and critical regimes.
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2 Pith papers cite this work. Polarity classification is still indexing.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Global well-posedness and quantitative flocking are shown for Lagrangian p-alignment dynamics; Eulerian variables are constructed via pushforward and disintegration, with defect terms vanishing asymptotically under heavy-tailed kernels to give mono-kinetic closure and mean-field convergence.
citing papers explorer
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Commutator estimates and their applications to the transport-type equations
New commutator estimates in Triebel-Lizorkin spaces enable a unified theory for local well-posedness of transport-type equations and the two-component Euler-Poincaré system in sub-critical and critical regimes.
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Lagrangian formulation and Eulerian closure in alignment dynamics
Global well-posedness and quantitative flocking are shown for Lagrangian p-alignment dynamics; Eulerian variables are constructed via pushforward and disintegration, with defect terms vanishing asymptotically under heavy-tailed kernels to give mono-kinetic closure and mean-field convergence.