{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T16:23:52Z","timestamp":1762100632858},"reference-count":0,"publisher":"Informa UK Limited","issue":"2","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[2000,1,1]]},"abstract":"<jats:p>For a number of diffusive processes involving heat and mass\ntransfer, a convenient and easy way to solve for penetration time or\ndepth is to consider an averaged quantity called mean action time.\nThis approach was originally developed by Alex McNabb, in\ncollaboration with other researchers. It is possible to solve for\nmean action time without actually solving the full diffusion\nproblem, which may be nonlinear, and may have internal moving\nboundaries. Mean action time satisfies a linear Poisson equation,\nand only works for finite problems. We review some nice properties\nof mean action time, and discuss some recent novel applications.<\/jats:p>","DOI":"10.1155\/s1173912600000092","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T07:44:28Z","timestamp":1173339868000},"page":"125-141","source":"Crossref","is-referenced-by-count":30,"title":["Mean action time for diffusive processes"],"prefix":"10.1080","volume":"4","author":[{"given":"Kerry","family":"Landman","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mark","family":"Mcguinness","sequence":"additional","affiliation":[{"name":"School of Mathematical and Computing Sciences, Victoria University of Wellington, Wellington, New Zealand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2000\/459627.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2000\/459627.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:23:01Z","timestamp":1723126981000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/2000\/459627\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2000,1,1]]}},"alternative-id":["459627"],"URL":"https:\/\/doi.org\/10.1155\/s1173912600000092","relation":{},"ISSN":["1173-9126"],"issn-type":[{"type":"print","value":"1173-9126"}],"subject":[],"published":{"date-parts":[[2000,1,1]]}}}