Constructs divergence-free velocity fields and magnetic fields solving the kinematic dynamo equation on arbitrary smooth bounded domains in R^3 with arbitrarily fast magnetic energy growth uniformly as diffusivity vanishes, using convex integration with explicit potentials, and unifies the approach,
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
Turbulent Dynamos on Bounded Domains and Their Generalization to the Geometric Transport Equation
Constructs divergence-free velocity fields and magnetic fields solving the kinematic dynamo equation on arbitrary smooth bounded domains in R^3 with arbitrarily fast magnetic energy growth uniformly as diffusivity vanishes, using convex integration with explicit potentials, and unifies the approach,
-
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.