Vibration-Induced Rectified Motion of a Piston in a Liquid-Filled Cylinder with Bellows to Mimic Gas Regions
Abstract not provided.
Abstract not provided.
Abstract not provided.
Physics of Fluids
Abstract not provided.
Abstract not provided.
SIAM Journal of Control and Optimization
Abstract not provided.
Abstract not provided.
Abstract not provided.
IEEE Transactions on Aerospace and Electronic Systems
Abstract not provided.
Abstract not provided.
Abstract not provided.
Abstract not provided.
Abstract not provided.
Abstract not provided.
Abstract not provided.
Proposed for publication in Physics of Fluids.
Abstract not provided.
Abstract not provided.
Abstract not provided.
Abstract not provided.
We will discuss general mathematical ideas arising in the problems of Laser beam shaping and splitting. We will be particularly concerned with questions concerning the scaling and symmetry of such systems.
SIAM Journal on Applied Mathematics
Abstract not provided.
Abstract not provided.
We present an analysis of gas chromatographic columns where the stationary phase is not assumed to be a thin uniform coating along the walls of the cross section. We also give an asymptotic analysis assuming that the parameter {beta} = KD{sup II}{rho}{sup II}/D{sup I}{rho}{sup I} is small. Here K is the partition coefficient, and D{sup i} and {rho}{sup i}, i = I, II are the diffusivity and density in the mobile (i = I) and stationary (i = II) regions.
Proposed for publication in SIAM Review.
This paper demonstrates that the conditions for the existence of a dissipation-induced heteroclinic orbit between the inverted and noninverted states of a tippe top are determined by a complex version of the equations for a simple harmonic oscillator: the modified Maxwell-Bloch equations. A standard linear analysis reveals that the modified Maxwell-Bloch equations describe the spectral instability of the noninverted state and Lyapunov stability of the inverted state. Standard nonlinear analysis based on the energy momentum method gives necessary and sufficient conditions for the existence of a dissipation-induced connecting orbit between these relative equilibria.
Abstract not provided.
SIAM Journal of Optimization
Abstract not provided.