Geodesic
Classification of the types of instability of vertical flows in geothermal systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mechanics, Tome 281 (2013), pp. 188-198

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

Stability of vertical flows in geothermal systems is investigated in the case when the domain occupied by water (heavy fluid) is located over the domain occupied by vapor. It is found that under the transition to an unstable regime in a neighborhood of the existing solution, a pair of new solutions appears as a result of the turning point bifurcation. We consider the dynamics of a narrow band of weakly unstable and weakly nonlinear perturbations of the plane surface of the water-to-vapor phase transition. It is shown that such perturbations obey the generalized Ginzburg–Landau–Kolmogorov–Petrovsky–Piscounov equation. 
@article{TM_2013_281_a14,
     author = {A. T. Il'ichev and G. G. Tsypkin},
     title = {Classification of the types of instability of vertical flows in geothermal systems},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {188--198},
     publisher = {mathdoc},
     volume = {281},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2013_281_a14/}
}
TY  - JOUR
AU  - A. T. Il'ichev
AU  - G. G. Tsypkin
TI  - Classification of the types of instability of vertical flows in geothermal systems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2013
SP  - 188
EP  - 198
VL  - 281
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2013_281_a14/
LA  - ru
ID  - TM_2013_281_a14
ER  - 
%0 Journal Article
%A A. T. Il'ichev
%A G. G. Tsypkin
%T Classification of the types of instability of vertical flows in geothermal systems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2013
%P 188-198
%V 281
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2013_281_a14/
%G ru
%F TM_2013_281_a14
A. T. Il'ichev; G. G. Tsypkin. Classification of the types of instability of vertical flows in geothermal systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mechanics, Tome 281 (2013), pp. 188-198. http://geodesic.mathdoc.fr/item/TM_2013_281_a14/