Geodesic
Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 1, pp. 64-72

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider the hyperbolic model, describing a thin liquid film flow on a vertical surface with consideration of condensation or evaporation at the interface. It is shown that this model allows rarefaction and compression centered waves. Families of exact generalized solutions are constructed in which centered waves conjugate with each other or with the residual depth through strong or weak discontinuities. These solutions describe the evolution of rolling waves on the film flow surface.
Keywords: film flows, heat and mass transfer, centered waves, generalized solutions. 
@article{VNGU_2018_18_1_a5,
     author = {N. A. Zyuzina and V. V. Ostapenko},
     title = {Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {64--72},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a5/}
}
TY  - JOUR
AU  - N. A. Zyuzina
AU  - V. V. Ostapenko
TI  - Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface
JO  - Sibirskij žurnal čistoj i prikladnoj matematiki
PY  - 2018
SP  - 64
EP  - 72
VL  - 18
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a5/
LA  - ru
ID  - VNGU_2018_18_1_a5
ER  - 
%0 Journal Article
%A N. A. Zyuzina
%A V. V. Ostapenko
%T Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface
%J Sibirskij žurnal čistoj i prikladnoj matematiki
%D 2018
%P 64-72
%V 18
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a5/
%G ru
%F VNGU_2018_18_1_a5
N. A. Zyuzina; V. V. Ostapenko. Exact solutions with centered waves in the film flow model considering heat and mass transfer at the interface. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 18 (2018) no. 1, pp. 64-72. http://geodesic.mathdoc.fr/item/VNGU_2018_18_1_a5/