Edit Profile (opens in new tab) Luk’yanenko, Dmitriĭ Vital’evich Compute Distance To: Compute Author ID: lukyanenko.dmitrii-vitalevich Published as: Lukyanenko, D. V.; Lukyanenko, Dmitry V.; Lukyanenko, Dmitry; Luk’yanenko, Dmitriĭ Vital’evich; Luk’yanenko, D. V. Documents Indexed: 41 Publications since 2010 Co-Authors: 37 Co-Authors with 41 Joint Publications 352 Co-Co-Authors all top 5 Co-Authors 0 single-authored 14 Yagola, Anatoliĭ Grigor’evich 11 Korpusov, Maksim Olegovich 8 Volkov, Vladimir T. 7 Panin, Aleksandr Anatol’evich 6 Shishlenin, Maxim Aleksandrovich 4 Nefedov, Nikolaĭ Nikolaevich 4 Tikhonravov, Alexander V. 3 Kochikov, Igor V. 3 Wang, Yanfei 3 Yushkov, Egor Vladislavovich 3 Zhang, Ye 2 Argun, R. L. 2 Borzunov, Andrey A. 2 Evdokimova, N. A. 2 Isaev, T. F. 2 Lagutin, Yu. S. 2 Lagutina, A. A. 2 Levashova, Natalia T. 2 Sharapova, Svetlana A. 1 Bytsura, S. V. 1 Davydova, M. A. 1 Gorbachev, A. V. 1 Gorokh, A. A. 1 Grigorev, Valentin B. 1 Kolotov, I. I. 1 Levashov, A. N. 1 Matveeva, Aleksandra Konstantinovna 1 Melnikova, A. A. 1 Melnikova, Alina 1 Nekrasov, A. D. 1 Nikulin, Egor 1 Ovsyannikov, Evgeniĭ Alekseevich 1 Prigorniy, Igor V. 1 Rau, Eduard I. 1 Shlyapugin, G. I. 1 Sidorova, A. E. 1 Zakharova, S. A. all top 5 Serials 9 Computational Mathematics and Mathematical Physics 5 Journal of Inverse and Ill-Posed Problems 4 Mathematical Methods in the Applied Sciences 3 Inverse Problems in Science and Engineering 3 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Journal of Mathematical Analysis and Applications 2 Communications in Nonlinear Science and Numerical Simulation 1 Computers & Mathematics with Applications 1 Journal of Computational and Applied Mathematics 1 Moscow University Computational Mathematics and Cybernetics 1 Izvestiya: Mathematics 1 Matematicheskoe Modelirovanie 1 Inverse Problems and Imaging all top 5 Fields 30 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 8 Optics, electromagnetic theory (78-XX) 7 Integral equations (45-XX) 3 Fluid mechanics (76-XX) 3 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 132 times in 57 Documents Cited by ▼ Year ▼ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. Zbl 1430.35269Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T. 13 2019 Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data. Zbl 1442.65233Lukyanenko, D. V.; Grigorev, Valentin B.; Volkov, V. T.; Shishlenin, M. A. 13 2019 Blow-up for one Sobolev problem: theoretical approach and numerical analysis. Zbl 1339.35061Korpusov, M. O.; Lukyanenko, D. V.; Panin, A. A.; Yushkov, E. V. 12 2016 Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. Zbl 07262008Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, V. T. 11 2018 Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis. Zbl 1366.82066Korpusov, Maxim Olegovich; Lukyanenko, Dmitry V.; Panin, Alexander A.; Yushkov, Egor V. 8 2017 Front dynamics in an activator-inhibitor system of equations. Zbl 1368.65223Melnikova, Alina; Levashova, Natalia; Lukyanenko, Dmitry 8 2017 Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models. Zbl 1422.65299Volkov, V. T.; Lukyanenko, D. V.; Nefedov, N. N. 8 2019 Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors. Zbl 1380.35028Korpusov, M. O.; Lukyanenko, D. V. 8 2018 Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations. Zbl 1368.65166Lukyanenko, Dmitry; Nefedov, Nikolay; Nikulin, Egor; Volkov, Vladimir 7 2017 Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities. Zbl 1397.35297Korpusov, Maxim O.; Lukyanenko, Dmitry V.; Panin, Alexander A.; Yushkov, Egor V. 6 2018 On the blow-up phenomena for a 1-dimensional equation of ion sound waves in a plasma: analytical and numerical investigation. Zbl 1448.35055Korpusov, M. O.; Lukyanenko, D. V.; Panin, A. A.; Shlyapugin, G. I. 6 2018 Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. Zbl 1368.65167Volkov, Vladimir; Lukyanenko, Dmitry; Nefedov, Nikolay 5 2017 Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. Zbl 1267.76111Wang, Y. F.; Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 4 2013 Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 1471.65123Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A. 4 2021 Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel. Zbl 1279.45002Lukyanenko, D. V.; Yagola, A. G.; Evdokimova, N. A. 3 2010 An optimal regularization method for convolution equations on the sourcewise represented set. Zbl 1325.45005Zhang, Ye; Lukyanenko, Dmitry V.; Yagola, Anatoly G. 3 2015 Some features of solving an inverse backward problem for a generalized Burgers’ equation. Zbl 1461.35237Lukyanenko, Dmitry V.; Prigorniy, Igor V.; Shishlenin, Maxim A. 3 2020 Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity. Zbl 1382.35288Korpusov, Maksim Olegovich; Luk’yanenko, Dmitriĭ Vital’evich; Ovsyannikov, Evgeniĭ Alekseevich; Panin, Aleksandr Anatol’evich 2 2017 Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. Zbl 1342.35442Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 1 2016 Modeling of ecosystems as a process of self-organization. Zbl 1413.92050Levashova, N. T.; Melnikova, A. A.; Luk’yanenko, D. V.; Sidorova, A. E.; Bytsura, S. V. 1 2017 Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly 1 2019 Analytic-numerical investigation of combustion in a nonlinear medium. Zbl 07001961Korpusov, M. O.; Lukyanenko, D. V.; Nekrasov, A. D. 1 2018 Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics. Zbl 1373.78104Isaev, T. F.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2017 Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors. Zbl 1441.35233Korpusov, Maksim Olegovich; Matveeva, Aleksandra Konstantinovna; Luk’yanenko, Dmitriĭ Vital’evich 1 2019 Blow-up for Joseph-Egri equation: theoretical approach and numerical analysis. Zbl 1452.35171Korpusov, Maxim O.; Lukyanenko, Dmitry V.; Panin, Alexander A. 1 2020 Stable method for optical monitoring the deposition of multilayer optical coatings. Zbl 1455.78013Kochikov, I. V.; Lagutin, Yu. S.; Lagutina, A. A.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2020 Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. Zbl 1471.65123Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A. 4 2021 Some features of solving an inverse backward problem for a generalized Burgers’ equation. Zbl 1461.35237Lukyanenko, Dmitry V.; Prigorniy, Igor V.; Shishlenin, Maxim A. 3 2020 Blow-up for Joseph-Egri equation: theoretical approach and numerical analysis. Zbl 1452.35171Korpusov, Maxim O.; Lukyanenko, Dmitry V.; Panin, Alexander A. 1 2020 Stable method for optical monitoring the deposition of multilayer optical coatings. Zbl 1455.78013Kochikov, I. V.; Lagutin, Yu. S.; Lagutina, A. A.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2020 Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation. Zbl 1430.35269Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, Vladimir T. 13 2019 Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data. Zbl 1442.65233Lukyanenko, D. V.; Grigorev, Valentin B.; Volkov, V. T.; Shishlenin, M. A. 13 2019 Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models. Zbl 1422.65299Volkov, V. T.; Lukyanenko, D. V.; Nefedov, N. N. 8 2019 Magnetic parameters inversion method with full tensor gradient data. Zbl 1418.86008Wang, Yanfei; Lukyanenko, Dmitry; Yagola, Anatoly 1 2019 Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors. Zbl 1441.35233Korpusov, Maksim Olegovich; Matveeva, Aleksandra Konstantinovna; Luk’yanenko, Dmitriĭ Vital’evich 1 2019 Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data. Zbl 07262008Lukyanenko, Dmitry V.; Shishlenin, Maxim A.; Volkov, V. T. 11 2018 Instantaneous blow-up versus local solvability for one problem of propagation of nonlinear waves in semiconductors. Zbl 1380.35028Korpusov, M. O.; Lukyanenko, D. V. 8 2018 Blow-up of solutions of a full non-linear equation of ion-sound waves in a plasma with non-coercive non-linearities. Zbl 1397.35297Korpusov, Maxim O.; Lukyanenko, Dmitry V.; Panin, Alexander A.; Yushkov, Egor V. 6 2018 On the blow-up phenomena for a 1-dimensional equation of ion sound waves in a plasma: analytical and numerical investigation. Zbl 1448.35055Korpusov, M. O.; Lukyanenko, D. V.; Panin, A. A.; Shlyapugin, G. I. 6 2018 Analytic-numerical investigation of combustion in a nonlinear medium. Zbl 07001961Korpusov, M. O.; Lukyanenko, D. V.; Nekrasov, A. D. 1 2018 Blow-up phenomena in the model of a space charge stratification in semiconductors: analytical and numerical analysis. Zbl 1366.82066Korpusov, Maxim Olegovich; Lukyanenko, Dmitry V.; Panin, Alexander A.; Yushkov, Egor V. 8 2017 Front dynamics in an activator-inhibitor system of equations. Zbl 1368.65223Melnikova, Alina; Levashova, Natalia; Lukyanenko, Dmitry 8 2017 Use of asymptotics for new dynamic adapted mesh construction for periodic solutions with an interior layer of reaction-diffusion-advection equations. Zbl 1368.65166Lukyanenko, Dmitry; Nefedov, Nikolay; Nikulin, Egor; Volkov, Vladimir 7 2017 Asymptotic-numerical method for the location and dynamics of internal layers in singular perturbed parabolic problems. Zbl 1368.65167Volkov, Vladimir; Lukyanenko, Dmitry; Nefedov, Nikolay 5 2017 Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity. Zbl 1382.35288Korpusov, Maksim Olegovich; Luk’yanenko, Dmitriĭ Vital’evich; Ovsyannikov, Evgeniĭ Alekseevich; Panin, Aleksandr Anatol’evich 2 2017 Modeling of ecosystems as a process of self-organization. Zbl 1413.92050Levashova, N. T.; Melnikova, A. A.; Luk’yanenko, D. V.; Sidorova, A. E.; Bytsura, S. V. 1 2017 Algorithms for solving inverse problems in the optics of layered media based on comparing the extrema of spectral characteristics. Zbl 1373.78104Isaev, T. F.; Lukyanenko, D. V.; Tikhonravov, A. V.; Yagola, A. G. 1 2017 Blow-up for one Sobolev problem: theoretical approach and numerical analysis. Zbl 1339.35061Korpusov, M. O.; Lukyanenko, D. V.; Panin, A. A.; Yushkov, E. V. 12 2016 Using Lagrange principle for solving two-dimensional integral equation with a positive kernel. Zbl 1342.35442Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 1 2016 An optimal regularization method for convolution equations on the sourcewise represented set. Zbl 1325.45005Zhang, Ye; Lukyanenko, Dmitry V.; Yagola, Anatoly G. 3 2015 Recovering aerosol particle size distribution function on the set of bounded piecewise-convex functions. Zbl 1267.76111Wang, Y. F.; Zhang, Y.; Lukyanenko, D. V.; Yagola, A. G. 4 2013 Application of inversion methods in solving ill-posed problems for magnetic parameter identification of steel hull vessel. Zbl 1279.45002Lukyanenko, D. V.; Yagola, A. G.; Evdokimova, N. A. 3 2010 all cited Publications top 5 cited Publications all top 5 Cited by 89 Authors 16 Luk’yanenko, Dmitriĭ Vital’evich 11 Korpusov, Maksim Olegovich 7 Nefedov, Nikolaĭ Nikolaevich 7 Shishlenin, Maxim Aleksandrovich 6 Panin, Aleksandr Anatol’evich 6 Volkov, Vladimir T. 5 Levashova, Natalia T. 4 Yagola, Anatoliĭ Grigor’evich 3 Davydova, M. A. 3 Melnikova, A. A. 3 Zakharova, S. A. 2 Argun, R. L. 2 Kochikov, Igor V. 2 Kolotov, I. I. 2 Ni, Mingkang 2 Nikolaeva, Olga A. 2 Tikhonravov, Alexander V. 2 Wang, Yanfei 2 Yushkov, Egor Vladislavovich 2 Zhang, Ye 1 Alotaibi, Abdullah M. 1 Aristov, Anatoliĭ Igorevich 1 Aydemir, Salih Berkan 1 Băleanu, Dumitru I. 1 Batov, A. V. 1 Behroozifar, Mahmoud 1 Borzunov, Andrey A. 1 Clow, Gary D. 1 Deryugina, N. N. 1 Dwivedi, Kushal Dhar 1 Ebaid, Abdelhalim 1 El-Zahar, Essam Roshdy 1 Elansky, N. F. 1 Firsova, Anna A. 1 Fu, Hongsun 1 Gong, Wenxiu 1 Gorbachev, A. V. 1 Grigorev, Valentin B. 1 Gudkova, T. V. 1 Gulliksson, Mårten E. 1 Hamed, Yasser S. 1 Han, Bo 1 Holmbom, Anders 1 Isaev, T. F. 1 Jafarov, Elchin I. 1 Jannelli, Alessandra 1 Ji, Shuangxi 1 Jleli, Mohamed Boussairi 1 Kabanikhin, Sergeĭ Igorevich 1 Klyuchinskiy, Dmitriy V. 1 Kulikov, Igor M. 1 Kutlu Onay, Funda 1 Lagutin, Yu. S. 1 Lagutina, A. A. 1 Lehle, Bernd 1 Levashov, A. N. 1 Lind, Pedro G. 1 Liu, Hongbo 1 Liu, Jia 1 Lopes, Vitor V. 1 Ma, Qinghua 1 Machado, José António Tenreiro 1 Nekrasov, A. D. 1 Novikov, Nikita S. 1 Orlov, Andrey O. 1 Ovsyannikov, Evgeniĭ Alekseevich 1 Peinke, Joachim 1 Persson, Jens 1 Postylyakov, O. V. 1 Prigorniy, Igor V. 1 Qi, Xutian 1 Raischel, Frank 1 Ramzani, Hasan 1 Scholz, Teresa 1 Sharapova, Svetlana A. 1 Shchepetilov, Alexey V. 1 Shishkov, Andrey E. 1 Shlyapugin, G. I. 1 Singh, Jagdev 1 Speciale, Maria Paola 1 Stepanova, I. È. 1 Tishchenko, B. V. 1 Vishnevsky, Alexander M. 1 Wächter, Matthias 1 Wu, Xiao 1 Xu, Zuoliang 1 Yang, Yu 1 Zhang, Tingjun 1 Zou, Anqi all top 5 Cited in 21 Serials 15 Computational Mathematics and Mathematical Physics 6 Inverse Problems in Science and Engineering 5 Differential Equations 4 Journal of Inverse and Ill-Posed Problems 4 Izvestiya: Mathematics 3 Mathematical Notes 3 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Communications in Nonlinear Science and Numerical Simulation 2 AIMS Mathematics 1 Computers & Mathematics with Applications 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 Doklady Mathematics 1 Optimization and Engineering 1 Advances in Difference Equations 1 Open Mathematics all top 5 Cited in 23 Fields 46 Partial differential equations (35-XX) 20 Numerical analysis (65-XX) 7 Optics, electromagnetic theory (78-XX) 5 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 2 Ordinary differential equations (34-XX) 2 Integral equations (45-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year