## Novikov, Alexei

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 Author ID: novikov.alexei Published as: Novikov, Alexei; Novikov, A. Homepage: https://www.math.psu.edu/~anovikov/ External Links: MGP · Math-Net.Ru
 Documents Indexed: 43 Publications since 2001, including 1 Book Co-Authors: 25 Co-Authors with 32 Joint Publications 911 Co-Co-Authors
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### Co-Authors

 5 single-authored 9 Papanicolaou, George C. 9 Ryzhik, Lenya 8 Moscoso, Miguel 6 Berlyand, Leonid V. 5 Iyer, Gautam 5 Tsogka, Chrysoula 4 Gorb, Yuliya 3 Komorowski, Tomasz 2 Burago, Dmitri 2 Doering, Charles Rogers 2 Ivanov, Sergei Vladimirovich 2 Lin, Zhi 2 Lunasin, Evelyn M. 2 Mazzucato, Anna L. 1 Berestycki, Henri 1 Borodin, Alexei 1 Bruno, Oscar P. 1 Constantin, Peter 1 Hairer, Martin 1 Kiselev, Alexander A. 1 Kolpakov, Alexander G. 1 Koralov, Leonid B. 1 Monsaingeon, Léonard 1 Nam, Dukjin 1 Pajor-Gyulai, Zsolt 1 Roquejoffre, Jean-Michel 1 Shikh-Khalil, Karim 1 Zlatoš, Andrej
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### Serials

 5 Communications in Mathematical Sciences 3 Inverse Problems 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Imaging Sciences 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 The Annals of Probability 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Lobachevskii Journal of Mathematics 2 Multiscale Modeling & Simulation 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Applied Mathematics and Computation 1 Probability Theory and Related Fields 1 Geometric and Functional Analysis. GAFA 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 St. Petersburg Mathematical Journal 1 Discrete and Continuous Dynamical Systems. Series B 1 Encyclopedia of Mathematics and Its Applications
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### Fields

 19 Partial differential equations (35-XX) 15 Fluid mechanics (76-XX) 8 Probability theory and stochastic processes (60-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Optics, electromagnetic theory (78-XX) 5 Information and communication theory, circuits (94-XX) 4 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 218 times in 174 Documents Cited by Year
Blow-up of solutions to a $$p$$-Laplace equation. Zbl 1261.35137
Gorb, Yuliya; Novikov, Alexei
2012
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2012
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
2007
Homogenization of the $$G$$-equation with incompressible random drift in two dimensions. Zbl 1241.35021
Nolen, James; Novikov, Alexei
2011
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
2010
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
2005
Illumination strategies for intensity-only imaging. Zbl 1326.49057
Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George
2015
A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt
2018
Error of the network approximation for densely packed composites with irregular geometry. Zbl 1055.74033
Berlyand, Leonid; Novikov, Alexei
2002
Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions. Zbl 1170.76055
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei
2009
Introduction to the network approximation method for materials modeling. Zbl 1273.82001
Berlyand, Leonid; Kolpakov, Alexander G.; Novikov, Alexei
2013
Eddy viscosity of cellular flows. Zbl 0997.76030
Novikov, Alexei; Papanicolaou, George
2001
Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. Zbl 1081.78016
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei
2005
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
2010
A differential equations approach to $$l_{1}$$-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
2012
Robust multifrequency imaging with MUSIC. Zbl 07000896
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2019
Coherent imaging without phases. Zbl 1352.49033
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George
2016
Anomalous diffusion in fast cellular flows at intermediate time scales. Zbl 1342.35029
Iyer, Gautam; Novikov, Alexei
2016
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2014
Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2017
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2008
Numerical simulations of diffusion in cellular flows at high Péclet numbers. Zbl 1308.76256
Gorb, Yuliya; Nam, Dukjin; Novikov, Alexei
2011
Traveling wave solutions of advection-diffusion equations with nonlinear diffusion. Zbl 1288.35169
Monsaingeon, L.; Novikov, A.; Roquejoffre, J.-M.
2013
A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Zbl 1208.74008
Novikov, Alexei
2009
Modulational stability of cellular flows. Zbl 1076.76036
Novikov, Alexei
2003
Eddy viscosity of cellular flows by upscaling. Zbl 1087.76085
Novikov, Alexei
2004
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2013
The regularizing effects of resetting in a particle system for the Burgers equation. Zbl 1248.60071
Iyer, Gautam; Novikov, Alexei
2011
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2012
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079
Novikov, A.; Kuzmin, D.; Ahmadi, O.
2020
Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079
Novikov, A.; Kuzmin, D.; Ahmadi, O.
2020
Robust multifrequency imaging with MUSIC. Zbl 07000896
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2019
A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049
Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt
2018
Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2017
Coherent imaging without phases. Zbl 1352.49033
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George
2016
Anomalous diffusion in fast cellular flows at intermediate time scales. Zbl 1342.35029
Iyer, Gautam; Novikov, Alexei
2016
Illumination strategies for intensity-only imaging. Zbl 1326.49057
Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George
2015
From homogenization to averaging in cellular flows. Zbl 1302.35039
Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2014
Introduction to the network approximation method for materials modeling. Zbl 1273.82001
Berlyand, Leonid; Kolpakov, Alexander G.; Novikov, Alexei
2013
Traveling wave solutions of advection-diffusion equations with nonlinear diffusion. Zbl 1288.35169
Monsaingeon, L.; Novikov, A.; Roquejoffre, J.-M.
2013
Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2013
Blow-up of solutions to a $$p$$-Laplace equation. Zbl 1261.35137
Gorb, Yuliya; Novikov, Alexei
2012
Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076
Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R.
2012
A differential equations approach to $$l_{1}$$-minimization with applications to array imaging. Zbl 1267.65069
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
2012
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2012
Homogenization of the $$G$$-equation with incompressible random drift in two dimensions. Zbl 1241.35021
Nolen, James; Novikov, Alexei
2011
Numerical simulations of diffusion in cellular flows at high Péclet numbers. Zbl 1308.76256
Gorb, Yuliya; Nam, Dukjin; Novikov, Alexei
2011
The regularizing effects of resetting in a particle system for the Burgers equation. Zbl 1248.60071
Iyer, Gautam; Novikov, Alexei
2011
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
2010
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
2010
Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions. Zbl 1170.76055
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei
2009
A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Zbl 1208.74008
Novikov, Alexei
2009
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2008
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
2007
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
2005
Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. Zbl 1081.78016
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei
2005
Eddy viscosity of cellular flows by upscaling. Zbl 1087.76085
Novikov, Alexei
2004
Modulational stability of cellular flows. Zbl 1076.76036
Novikov, Alexei
2003
Error of the network approximation for densely packed composites with irregular geometry. Zbl 1055.74033
Berlyand, Leonid; Novikov, Alexei
2002
Eddy viscosity of cellular flows. Zbl 0997.76030
Novikov, Alexei; Papanicolaou, George
2001
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### Cited by 232 Authors

 13 Novikov, Alexei 10 Xin, Jack X. 8 Zlatoš, Andrej 7 Papanicolaou, George C. 6 Gorb, Yuliya 6 Iyer, Gautam 6 Li, Haigang 6 Moscoso, Miguel 6 Radko, Timour 6 Souganidis, Panagiotis E. 5 Ryzhik, Lenya 5 Tsogka, Chrysoula 5 Zhao, Zhiwen 4 Bedrossian, Jacob 4 Borcea, Liliana 4 Crippa, Gianluca 4 Hamel, François 4 Hu, Weiwei 4 Kang, Hyeonbae 4 Toaldo, Bruno 4 Yu, Yifeng 3 Bao, Jiguang 3 Ciraolo, Giulio 3 Coti Zelati, Michele 3 Doering, Charles Rogers 3 Guevara Vasquez, Fernando 3 Hao, Xia 3 Koralov, Leonid B. 3 Mazzucato, Anna L. 3 Mityushev, Vladimir V. 3 Thiffeault, Jean-Luc 3 Vanneste, Jacques 3 Xu, Longjuan 3 Xu, Xiaoqian 2 Alberti, Giovanni 2 Bardsley, Patrick 2 Berlyand, Leonid V. 2 Blumenthal, Alex 2 Calo, Victor Manuel 2 Cardaliaguet, Pierre 2 Cassier, Maxence 2 Chen, Zhiming 2 Chung, Tsz Shun Eric 2 Efendiev, Yalchin R. 2 Elgindi, Tarek Mohamed 2 Feng, Yu 2 Feng, Yuanyuan 2 Galvis, Juan 2 Gordon, Peter V. 2 H. G. Li, Haigang 2 Henderson, Christopher 2 Huang, Guanghui 2 Kim, Inwon Christina 2 Kiselev, Alexander A. 2 Komorowski, Tomasz 2 Li, Lei 2 Li, Wan-Tong 2 Li, YanYan 2 Liu, Jianguo 2 Liu, NaiWei 2 Loeffen, Ronnie L. 2 Nawalaniec, Wojciech 2 Nolen, James 2 Patie, Pierre 2 Ricciuti, Costantino 2 Savov, Mladen Svetoslavov 2 Schulze, Christian 2 Sciammetta, Angela 2 Tran Vinh Hung 2 Tzella, Alexandra 2 Vicol, Vlad C. 2 Wu, Jiahong 2 Yu, SangHyeon 2 Yun, Kihyun 2 Zhang, Bo 2 Zhang, Haiwen 2 Zhang, Yuming Paul 1 Ai, Shangbing 1 Ammari, Habib M. 1 Aranson, Igor S. 1 Ascione, Giacomo 1 Bailleul, Ismaël F. 1 Bakhtin, Yuri Yu. 1 Berestycki, Henri 1 Blanc, Thomas 1 Bogdan, Krzysztof 1 Bostan, Mihai 1 Boyer, Franck 1 Bramburger, Jason J. 1 Brander, Tommi 1 Burago, Dmitri 1 Capdeboscq, Yves 1 Carstensen, Carsten 1 Catellier, Rémi 1 Chen, Long 1 Cherkaev, Elena 1 Ciomaga, Adina 1 Clemente, Rodrigo G. 1 Colombo, Maria 1 Constantin, Peter ...and 132 more Authors
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### Cited in 69 Serials

 15 Archive for Rational Mechanics and Analysis 10 Journal of Differential Equations 8 SIAM Journal on Imaging Sciences 7 Inverse Problems 7 Journal of Fluid Mechanics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 SIAM Journal on Mathematical Analysis 5 Physica D 5 SIAM Journal on Applied Mathematics 5 Multiscale Modeling & Simulation 4 Journal of Mathematical Analysis and Applications 4 Advances in Mathematics 4 Journal of Functional Analysis 3 Journal of Computational Physics 3 Journal of Statistical Physics 3 The Annals of Probability 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Nonlinear Science 2 Communications on Pure and Applied Mathematics 2 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 Calculus of Variations and Partial Differential Equations 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Networks and Heterogeneous Media 2 Inverse Problems and Imaging 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Numerische Mathematik 1 SIAM Journal on Control and Optimization 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 The Annals of Applied Probability 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Fractional Calculus & Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Modelling and Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques 1 Pure and Applied Analysis 1 Ars Inveniendi Analytica
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### Cited in 32 Fields

 122 Partial differential equations (35-XX) 67 Fluid mechanics (76-XX) 27 Optics, electromagnetic theory (78-XX) 24 Probability theory and stochastic processes (60-XX) 17 Numerical analysis (65-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Mechanics of deformable solids (74-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 7 Biology and other natural sciences (92-XX) 7 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Integral equations (45-XX) 4 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)