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This article is cited in 2 scientific papers (total in 2 papers)
Partial Differential Equations
On a nonlinear problem for a system of integro-differential equations of radiative transfer theory
A. V. Kalininab, A. A. Tyukhtinaa a Lobachevsky University of Nizhny Novgorod, 603022, Nizhny Novgorod, Russia
b Institute of Applied Physics, Russian Academy of Sciences, 603950, Nizhny Novgorod, Russia
Abstract:
An initial-boundary value problem for a system of nonlinear integro-differential equations of radiative transfer theory is considered. An existence and uniqueness theorem for this problem is proved. Based on the properties of semigroups of isotone operators acting in conditionally complete lattices, stabilization of the solution of the problem as $t\to\infty$ is established.
Key words:
system of radiative transfer equations, nonlinear integro-differential equations, semigroups of isotone operators.
Received: 12.12.2021 Revised: 20.01.2022 Accepted: 11.02.2022
Citation:
A. V. Kalinin, A. A. Tyukhtina, “On a nonlinear problem for a system of integro-differential equations of radiative transfer theory”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 965–976; Comput. Math. Math. Phys., 62:6 (2022), 933–944
Linking options:
https://www.mathnet.ru/eng/zvmmf11408 https://www.mathnet.ru/eng/zvmmf/v62/i6/p965
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