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math.AP2023
Dispersive decay estimates for Dirac equations with a domain wall
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
Dispersive time-decay estimates are proved for a one-parameter family of one-dimensional Dirac Hamiltonians with dislocations; these are operators which interpolate between two pha…
math.AP2023
Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid
Chen-Chih Lai, Michael I. Weinstein
We study the radial relaxation dynamics toward equilibrium and time-periodic pulsating spherically symmetric gas bubbles in an incompressible liquid due to thermal effects. The asy…
math.AP2023
Near invariance of quasi-energy spectrum of Floquet Hamiltonians
Amir Sagiv, Michael I. Weinstein
The spectral analysis of the unitary monodromy operator, associated with a time-periodically (paramatrically) forced Schrodinger equation, is a question of longstanding interest. H…