Let H is an element of C1 boolean AND W2,pbe an autonomous, non-constant Hamiltonian on a compact2-dimensional manifold, generating an incompressible velocity fieldb= del H-perpendicular to.We give sharp upper bounds on the enhanced dissipation rate ofbin terms of theproperties of the periodT(h)of the closed orbit{H=h}. Specifically, if 0
Enhanced Dissipation for Two-Dimensional Hamiltonian Flows
Marconi E.
2024
Abstract
Let H is an element of C1 boolean AND W2,pbe an autonomous, non-constant Hamiltonian on a compact2-dimensional manifold, generating an incompressible velocity fieldb= del H-perpendicular to.We give sharp upper bounds on the enhanced dissipation rate ofbin terms of theproperties of the periodT(h)of the closed orbit{H=h}. Specifically, if 0
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