Engineering topics

Meiss, J. D.

Publications and source records attributed to Meiss, J. D..

2 records

NASA NTRS1985

Markov-Tree model of intrinsic transport in Hamiltonian systems

A particle in a chaotic region of phase space can spend a long time near the boundary of a regular region since transport there is slow. This 'stickiness' of regular regions is thought to be responsible for previous observations in numerical experiments of a long-time algebraic decay of the particle survival probability, i.e., survival probability approximately t to the (-z) power for large t. This paper presents a global model for transport in such systems and demonstrates the essential role of the infinite hierarchy of small islands interspersed in the chaotic region. Results for z are discussed.

Meiss, J. D.↗

NASA NTRS1978

Internal wave solitons

Attention is given to the Benjamin-Ono equation for waves within a stratified fluid, i.e., internal waves. Numerical computations indicate soliton-like behavior since solitary waves pass through each other upon collision. In addition, two and three Lorentzian solitons are noted to pass through one another. An initial Lorentzian having an amplitude larger than soliton amplitude is observed to decay into solitons. The velocities of these solitons may be predicted by conservation laws. Future work will be directed toward determining exact solutions.

Meiss, J. D.↗