Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient
MA Davydova, SA Zakharova - Journal of Computational and Applied …, 2022 - Elsevier
A new approach to the study of multidimensional singularly perturbed problems of nonlinear
heat conduction is proposed, based on the further development and use of asymptotic …
heat conduction is proposed, based on the further development and use of asymptotic …
Some features of solving an inverse backward problem for a generalized Burgers' equation
DV Lukyanenko, IV Prigorniy… - Journal of Inverse and Ill …, 2020 - degruyter.com
In this paper, we consider an inverse backward problem for a nonlinear singularly perturbed
parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic …
parabolic equation of the Burgers' type. We demonstrate how a method of asymptotic …
On some features of the numerical solving of coefficient inverse problems for an equation of the reaction-diffusion-advection-type with data on the position of a reaction …
R Argun, A Gorbachev, D Lukyanenko, M Shishlenin - Mathematics, 2021 - mdpi.com
The work continues a series of articles devoted to the peculiarities of solving coefficient
inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion …
inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion …
On estimation of the contribution of secondary vortex structures to the transport of aerosols in the atmospheric boundary layer
MA Davydova, OG Chkhetiani, NT Levashova… - Fluid Dynamics, 2022 - Springer
In this paper, we consider two reasonable approaches to the problem of numerical
simulation of the concentration distribution of a finely dispersed aerosol in spiral vortex …
simulation of the concentration distribution of a finely dispersed aerosol in spiral vortex …
Inverse problem for an equation of the reaction-diffusion-advection type with data on the position of a reaction front: features of the solution in the case of a nonlinear …
R Argun, A Gorbachev, N Levashova, D Lukyanenko - Mathematics, 2021 - mdpi.com
The paper considers the features of numerical reconstruction of the advection coefficient
when solving the coefficient inverse problem for a nonlinear singularly perturbed equation of …
when solving the coefficient inverse problem for a nonlinear singularly perturbed equation of …
Experiments on high-detailed mapping of tropospheric NO2 using GSA/Resurs-P observations: results, validation with models and measurements, estimation of …
S Zakharova, M Davydova, A Borovski… - Remote Sensing of …, 2021 - spiedigitallibrary.org
Experiments for the retrieval of the high-detailed spatial NO2 distribution in the troposphere
using measurements of the GSA instrument onboard satellites of Resurs-P series were …
using measurements of the GSA instrument onboard satellites of Resurs-P series were …
Применение численно-асимптотического подхода в задаче восстановления параметров локального стационарного источника антропогенного загрязнения
МА Давыдова, НФ Еланский, СА Захарова… - Доклады Российской …, 2021 - mathnet.ru
Рассматривается применение численно-асимптотического подхода к решению
некоторых коэффициентных обратных задач диффузии примесей в атмосфере …
некоторых коэффициентных обратных задач диффузии примесей в атмосфере …
Determination of Emissions in the City by the Rate of Change in the Integral Content of Impurities in the Atmospheric Boundary Layer
SA Zakharova, NF Elansky, YM Verevkin… - Doklady Earth …, 2022 - Springer
A new approach to the problem of determining the density of emission fluxes of
anthropogenic impurities from distributed urban sources by the rate of growth of the integral …
anthropogenic impurities from distributed urban sources by the rate of growth of the integral …
Asymptotically stable solutions with boundary and internal layers in direct and inverse problems for a singularly perturbed heat equation with nonlinear thermal …
MA Davydova, GD Rublev - Differential Equations, 2024 - Springer
This paper proposes a new approach to the study of direct and inverse problems for a
singularly perturbed heat equation with nonlinear temperature-dependent diffusion, based …
singularly perturbed heat equation with nonlinear temperature-dependent diffusion, based …
On the Features of Numerical Solution of Coefficient Inverse Problems for Nonlinear Equations of the Reaction–Diffusion–Advection Type with Data of Various Types
DV Lukyanenko, RL Argun, AA Borzunov… - Differential …, 2023 - Springer
The paper discusses the features of constructing numerical schemes for solving coefficient
inverse problems for nonlinear partial differential equations of the reaction–diffusion …
inverse problems for nonlinear partial differential equations of the reaction–diffusion …