A Hamiltonian reduced-order model optimizes 2D incompressible mixing by maximizing interface length, yielding near-exponential stretching and faster H^{-1} mix-norm decay than stationary or Eulerian baselines.
Hartman.Ordinary differential equations, volume 38 ofClassics in Applied Mathematics
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Proves existence of solutions for Signorini-type problems in linearised viscoelasticity using a novel solution concept valid for initial contact, plus exponential decay to equilibrium.
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Hamiltonian Interface Dynamics for Reduced-Order Optimization of Incompressible Mixing
A Hamiltonian reduced-order model optimizes 2D incompressible mixing by maximizing interface length, yielding near-exponential stretching and faster H^{-1} mix-norm decay than stationary or Eulerian baselines.
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Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity
Proves existence of solutions for Signorini-type problems in linearised viscoelasticity using a novel solution concept valid for initial contact, plus exponential decay to equilibrium.