On a Stefan-type model arising in ecology

Berezovsky, A; Kersner, R [Kersner, Róbert (Nemlineáris analízis), szerző]; Peletier, B

Angol nyelvű Tudományos Szakcikk (Folyóiratcikk)
Megjelent: APPLIED MATHEMATICS LETTERS 0893-9659 19 (8) pp. 699-705 2006
  • SJR Scopus - Applied Mathematics: Q2
    We discuss the dispersal of a chemical, emitted from a point source, into a reacting medium. The diffusion and reaction are such that a front emerges, so that at all times the chemical remains confined to a bounded domain around the source. We focus on the final stationary state which is a non-standard Stefan-type boundary value problem for an Emden-Fowler equation. We prove its existence and uniqueness and obtain, analytically as well as numerically, bounds for the location of the front and for the concentration profile. © 2005 Elsevier Ltd. All rights reserved.
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    2021-10-24 04:30