H.
Fujita Yashima
uniqueness
evaporation process
consideration
variants
false
https://doi.org/10.1134/s0012266122020070
series
behavior of temperature
behavior
vicinity
process
A Variant of the Fourier Series in a Spherical Domain and Its Application to Modeling the Evaporation of a Water Droplet
applications
symmetry
water droplets
function
2022-12-01T06:44
parabolic type
articles
boundary value problem
temperature
spherical domains
https://scigraph.springernature.com/explorer/license/
types
domain
Abstract
existence
system
equations
value problem
density
spherical droplets
problem
evaporation
vapor density
solution
coupling conditions
207-226
droplets
2022-02
Fourier series
conditions
article
Abstract We consider a boundary value problem for a system of two linear partial differential
equations of parabolic type describing the behavior of temperature and vapor density in
a spherical droplet and its vicinity during the evaporation process. To study this problem, we
construct a variant of the Fourier series in a spherical domain for functions with spherical
symmetry. Using this series, we prove the existence and uniqueness of the solution of the problem
under consideration with an unusual coupling condition for the equations, which is characteristic
of evaporation.
2022-02-01
Springer Nature - SN SciGraph project
Pure Mathematics
Hallaci
Kh.
58
Mathematical Sciences
École Nationale Supérieure d’Hydraulique, Blida, Algeria
École Nationale Supérieure d’Hydraulique, Blida, Algeria
École Normale Supérieure de Constantine, Constantine, Algeria
École Normale Supérieure de Constantine, Constantine, Algeria
doi
10.1134/s0012266122020070
1608-3083
Differential Equations
0012-2661
Pleiades Publishing
2
pub.1147562762
dimensions_id