A sufficient condition for the avoidance of sets by measure preserving flows in \(\mathbb R^ n\).

DOI10.1215/S0012-7094-78-04538-6zbMath0471.28015WikidataQ112252811 ScholiaQ112252811MaRDI QIDQ1157425

Michael Aizenman

Publication date: 1978

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1077313100

zbMATH Keywords

dimensionvelocity fieldfinite momentsequilibrium phenomenadynamical systems represented by measure preserving flowsMinkowski contents

Mathematics Subject Classification ID

Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (10)

On solutions of the transport equation in the presence of singularities ⋮ Renormalization of active scalar equations ⋮ Dimension prints and the avoidance of sets for flow solutions of non-autonomous ordinary differential equations ⋮ Essential self-adjointness of Liouville operator for 2D Euler point vortices ⋮ Long-time behavior for a class of degenerate parabolic equations ⋮ On the vortex flow in bounded domains ⋮ Improved regularity estimates for Lagrangian flows on \(\mathrm{RCD}(K,N)\) spaces ⋮ On the numerical simulation of a class of reactive Boltzmann type equations ⋮ A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations ⋮ Flows associated with irregular \(\mathbb R^d\)-vector fields

Cites Work

• Unnamed Item
• On vector fields as generators of flows: A counterexample to Nelson's conjecture

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