title: Effect of the initial conditions on dispersion dynamics of pollution spots
metadata.name: dc.contributor.author
metadata.value: Bestuzheva, Alla N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Smirnov, Andrey L.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-12-27T14:41:37Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-12-27T14:41:37Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bestuzheva A.N., Smirnov A. L. Effect of the initial conditions on dispersion dynamics of pollution spots. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 4, pp. 664– 670.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.414
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/8811
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Current research results on processes of diffusion of a substance on the water surface are reported.
  In particular, the influence of initial distribution unevenness of the diffusing substance on dynamic
  characteristics of the pollution spot is studied. The pollution spot is a domain of the surface, in which the
  concentration of the diffusing substance is greater than a certain value. Using Fourier’s method analytical
  solutions of boundary value problems for the diffusion equation are found in special functions in unbounded
  domains. For their analysis asymptotic and numerical methods are used. It has been proved that at
  identical volumes of pollution its initial distribution on a surface has weak impact not only on the spot’s
  lifetime, but also on its maximum radius. In case of uniform distribution of the substance the maximum
  size of the pollution spot and the timepoint when it is reached are found. Refs 7. Figs 3. Table 1.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при частичной финансовой поддержке РФФИ (гранты №16-01-00580 A и
  №15-01-06311 A).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4(62); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: diffusing substance
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: diffusion equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pollution spot
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Effect of the initial conditions on dispersion dynamics of pollution spots
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-Bestuzheva.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/8811/1/14-Bestuzheva.pdf
resources.format: Adobe PDF
resources.size: 319,53 kB