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Dmitry Lukyanenko
Dmitry Lukyanenko
Associate Professor, Department of Mathematics, Faculty of Physics, Lomonosov Moscow State
Verified email at physics.msu.ru
Title
Cited by
Cited by
Year
Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data
DV Lukyanenko, MA Shishlenin, VT Volkov
Communications in Nonlinear Science and Numerical Simulation 54, 233-247, 2018
622018
Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction–diffusion equation with the location of moving front data
DV Lukyanenko, VB Grigorev, VT Volkov, MA Shishlenin
Computers & Mathematics with Applications 77 (5), 1245-1254, 2019
552019
Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation
DV Lukyanenko, MA Shishlenin, VT Volkov
Journal of Inverse and Ill-Posed Problems 27 (5), 745-758, 2019
502019
Blow-up for one Sobolev problem: theoretical approach and numerical analysis
MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov
Journal of Mathematical Analysis and Applications 442 (2), 451-468, 2016
442016
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, MA Shishlenin
Communications in nonlinear science and numerical simulation 99, 105824, 2021
422021
Blow‐up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis
MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov
Mathematical Methods in the Applied Sciences 40 (7), 2336-2346, 2017
342017
Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors
MO Korpusov, DV Lukyanenko
Journal of Mathematical Analysis and Applications 459 (1), 159-181, 2018
332018
Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel
DV Lukyanenko, AG Yagola, NA Evdokimova
Walter de Gruyter GmbH & Co. KG 18 (9), 1013-1029, 2011
262011
On the blow‐up phenomena for a 1‐dimensional equation of ion sound waves in a plasma: Analytical and numerical investigation
MO Korpusov, DV Lukyanenko, AA Panin, GI Shlyapugin
Mathematical Methods in the Applied Sciences 41 (8), 2906-2929, 2018
252018
Front dynamics in an activator-inhibitor system of equations
A Melnikova, N Levashova, D Lukyanenko
Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017
252017
Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations
D Lukyanenko, N Nefedov, E Nikulin, V Volkov
Numerical Analysis and Its Applications: 6th International Conference, NAA …, 2017
242017
The problem of the non-uniqueness of the solution to the inverse problem of recovering the symmetric states of a bistable medium with data on the position of an autowave front
N Levashova, A Gorbachev, R Argun, D Lukyanenko
Symmetry 13 (5), 860, 2021
202021
Some methods for solving of 3d inverse problem of magnetometry
DV Lukyanenko, AG Yagola
Eurasian J. Math. Comput. Appl 4 (3), 4-14, 2016
202016
Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions
YF Wang, Y Zhang, DV Lukyanenko, AG Yagola
Inverse Problems in Science and Engineering 21 (2), 339-354, 2013
192013
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 a …
D Lukyanenko, T Yeleskina, I Prigorniy, T Isaev, A Borzunov, ...
Mathematics 9 (4), 342, 2021
182021
Magnetic parameters inversion method with full tensor gradient data.
Y Wang, D Lukyanenko, A Yagola
Inverse Problems & Imaging 13 (4), 2019
182019
Dynamically adapted mesh construction for the efficient numerical solution of a singular perturbed reaction-diffusion-advection equation
DV Lukyanenko, VT Volkov, NN Nefedov
Моделирование и анализ информационных систем 24 (3), 322-338, 2017
172017
Use of asymptotic analysis for solving the inverse problem of source parameters determination of nitrogen oxide emission in the atmosphere
SA Zakharova, MA Davydova, DV Lukyanenko
Inverse Problems in Science and Engineering 29 (3), 365-377, 2021
162021
Application of a three-dimensional radiative transfer model to retrieve the species composition of a mixed forest stand from canopy reflected radiation
N Levashova, D Lukyanenko, Y Mukhartova, A Olchev
Remote Sensing 10 (10), 1661, 2018
162018
Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities
MO Korpusov, DV Lukyanenko, AA Panin, EV Yushkov
Izvestiya: Mathematics 82 (2), 283, 2018
162018
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