caa a22 4500 606217444 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10598-015-9262-5 doi (NATIONALLICENCE)springer-10.1007/s10598-015-9262-5 Formation of Thermal Structures with Blowup During Solar Flares [Elektronische Daten] [E. Kurkina, E. Kuretova, V. Kovalev] A mathematical model is proposed describing the initial phase of solar flare heating in the corona. The model is based on the nonlinear heat equation with a sign-alternating volume source, which is derived from the energy equation of the electron component of stationary plasma. Flares are assumed to arise as a result of sausage-type instabilities of a magnetic tube and creation of collapsing magnetic traps. A source function is chosen and the model parameters are fitted. Thermal structures arising under supercritical perturbations in a homogeneous temperature background are calculated and their specific features are examined. With nonclassical heat conduction, flares produce structures for which the half-width of the energy release region shrinks over time. The effect of "emission measure reduction” observed in the early phase of the flare is associated with the decrease of the flare filling factor due to the decrease of the structure half-width. Springer Science+Business Media New York, 2015 phenomenological mathematical model nationallicence solar corona midroflares nationallicence heating function nationallicence blowup nationallicence thermal structures nationallicence nonclassical heat conduction nationallicence Kurkina E. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Kuretova E. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Kovalev V. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the Russian Academy of Sciences (IZMIRAN), Moscow, Russia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 144-155 1046-283X 26:2<144 2015 26 10598 https://doi.org/10.1007/s10598-015-9262-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9262-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kurkina E. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Kuretova E. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Kovalev V. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation of the Russian Academy of Sciences (IZMIRAN), Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/2(2015-04-01), 144-155 1046-283X 26:2<144 2015 26 10598