A conjecture about age inequalities
(2020) , 7 pages
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- Abstract
- The age of a passive tracer is evaluated by means of CART's equations (www.climate.be/cart) as the time elapsed since touching for the last time the departure (open) boundary of the domain of interest. The tracer particles are discarded on the arrival (open) boundary. On the latter, Dirichlet boundary conditions or Neumann (zero diffusive flux) conditions can be prescribed. It is hypothesized that the age ensuing from the previous types of arrival boundary conditions is, at any time and position, smaller than or equal to that obtained by imposing Neumann boundary conditions on the arrival boundary. This conjecture, which is seen to hold true in a simplistic flow problem, has yet to be demonstrated. Assuming that this conjecture holds valid, a tentative physical explanation of it is suggested.
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Deleersnijder, E. (2020). A conjecture about age inequalities. https://hdl.handle.net/2078.5/94013