Abstract
Consider the problem of finding the brachistochrone between two points on the boundary of an area of interest having a spatially varying velocity field. The arbitrary velocity field can be synthesized from a set of simpler functions, for example, by a Fourier representation or a power‐series expansion. Now consider the analogous brachistochrone problem, using the same endpoints, for each of the simpler functions. Each of these problems is often solvable analytically. The solution to the original brachistochrone problem can be expressed in terms of the solutions to the set of brachistochrone problems on the simpler surfaces. The theory and an application will be presented. [Work supported by NSF and NOAA.]
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
