Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front
DV Lukyanenko, AA Borzunov… - … in nonlinear science and …, 2021 - Elsevier
An approach to solving coefficient inverse problems for nonlinear reaction-diffusion-
advection equations is proposed. As an example, we consider an inverse problem of …
advection equations is proposed. As an example, we consider an inverse problem of …
Contrast structures in the reaction-diffusion-advection problem in the case of a weak reaction discontinuity
NN Nefedov, EI Nikulin, AO Orlov - Russian Journal of Mathematical …, 2022 - Springer
In the paper, a boundary value problem for a singularly perturbed equation of reaction-
diffusion-advection in a two-dimensional domain is considered. The key feature of the …
diffusion-advection in a two-dimensional domain is considered. The key feature of the …
Existence of contrast structures in a problem with discontinuous reaction and advection
NN Nefedov, EI Nikulin, AO Orlov - Russian Journal of Mathematical …, 2022 - Springer
In the paper, a boundary value problem for a singularly perturbed reaction-diffusion-
advection equation is considered in a two-dimensional domain in the case of discontinuous …
advection equation is considered in a two-dimensional domain in the case of discontinuous …
Rate-induced tipping to metastable zombie fires
E O'Sullivan, K Mulchrone… - Proceedings of the …, 2023 - royalsocietypublishing.org
Zombie fires in peatlands disappear from the surface, smoulder underground during the
winter, and 'come back to life'in the spring. They can release hundreds of megatonnes of …
winter, and 'come back to life'in the spring. They can release hundreds of megatonnes of …
Inverse problem of recovering the initial condition for a nonlinear equation of the reaction–diffusion–advection type by data given on the position of a reaction front with …
D Lukyanenko, T Yeleskina, I Prigorniy, T Isaev… - Mathematics, 2021 - mdpi.com
In this paper, approaches to the numerical recovering of the initial condition in the inverse
problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are …
problem for a nonlinear singularly perturbed reaction–diffusion–advection equation are …
Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations
D Chaikovskii, Y Zhang - Journal of Computational Physics, 2022 - Elsevier
In this paper, by employing the asymptotic expansion method, we prove the existence and
uniqueness of a smoothing solution for a time-dependent nonlinear singularly perturbed …
uniqueness of a smoothing solution for a time-dependent nonlinear singularly perturbed …
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 …
Existence and stability of the solution to a system of two nonlinear diffusion equations in a medium with discontinuous characteristics
NT Levashova, BV Tishchenko - Computational Mathematics and …, 2021 - Springer
Asymptotic analysis is used to study the existence, local uniqueness, and asymptotic
Lyapunov stability of the solution to a one-dimensional nonlinear parabolic system of the …
Lyapunov stability of the solution to a one-dimensional nonlinear parabolic system of the …
Towards a Link between Quantitative and Qualitative Sciences to Understand Social Systems Using the Example of Informal Settlements
J Friesen - Entropy, 2023 - mdpi.com
Urbanization is one of the defining trends of our time and appropriate models are needed to
anticipate the changes in cities, which are largely determined by human behavior. In the …
anticipate the changes in cities, which are largely determined by human behavior. In the …
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 …