naa a22 4500 510812368 CHVBK 20180411083448.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1134/S008154381304010X doi (NATIONALLICENCE)springer-10.1134/S008154381304010X Effect of crystallization, heat exchange, and viscous dissipation on the dynamics of extrusive eruptions [Elektronische Daten] [A. Barmin, O. Melnik, E. Vedeneeva, Yu. Tsvetkova] The paper surveys mathematical models of magma flow in a volcanic conduit in the case of extrusive (nonexplosive) eruption that were developed in the group of dynamic volcanology at the Institute of Mechanics, Moscow State University, under the supervision of Professor A.A. Barmin. In the quasi-one-dimensional and two-dimensional formulations, the effect of crystallization, heat exchange, and viscous dissipation on the relationship between the magma discharge rate and the pressure difference between the magma chamber and atmosphere is analyzed. It is shown that there exist several steady-state solutions of the boundary value problem that differ in discharge rates by orders of magnitude. A transition between steadystate solutions may lead to cyclic variations in the magma discharge rate. Limitations of the hydraulic approach, which is based on the parameters averaged over the cross-section of a volcanic conduit, are revealed. Pleiades Publishing, Ltd., 2013 Barmin A. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Melnik O. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Vedeneeva E. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Tsvetkova Yu Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 119-128 0081-5438 281:1<119 2013 281 11501 https://doi.org/10.1134/S008154381304010X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S008154381304010X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barmin A. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 700 1- Melnik O. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 700 1- Vedeneeva E. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 700 1- Tsvetkova Yu Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 119-128 0081-5438 281:1<119 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer