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## Novikov, Alexei

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 Author ID: novikov.alexei Published as: Novikov, A.; Novikov, Alexei Homepage: https://www.math.psu.edu/~anovikov/ External Links: MGP · Math-Net.Ru · Wikidata
 Documents Indexed: 42 Publications since 2001, including 1 Book
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#### Co-Authors

 4 single-authored 9 Papanicolaou, George C. 9 Ryzhik, Lenya 7 Moscoso, Miguel 6 Berlyand, Leonid V. 5 Iyer, Gautam 4 Gorb, Yuliya 4 Tsogka, Chrysoula 3 Komorowski, Tomasz 2 Doering, Charles R. 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 Nolen, James 1 Pajor-Gyulai, Zsolt 1 Roquejoffre, Jean-Michel 1 Zlatoš, Andrej
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#### Serials

 4 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 Journal of Mathematical Physics 2 The Annals of Probability 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Multiscale Modeling & Simulation 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Nonlinearity 1 Probability Theory and Related Fields 1 Geometric and Functional Analysis. GAFA 1 Journal of Physics A: Mathematical and General 1 Discrete and Continuous Dynamical Systems. Series B 1 Encyclopedia of Mathematics and Its Applications
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#### Fields

 18 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 6 Probability theory and stochastic processes (60-XX) 5 Optics, electromagnetic theory (78-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-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 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

29 Publications have been cited 183 times in 142 Documents Cited by Year
Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064
Novikov, Alexei; Ryzhik, Lenya
2007
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
Blow-up of solutions to a $$p$$-Laplace equation. Zbl 1261.35137
Gorb, Yuliya; Novikov, Alexei
2012
Homogenization of the $$G$$-equation with incompressible random drift in two dimensions. Zbl 1241.35021
Nolen, James; Novikov, Alexei
2011
Illumination strategies for intensity-only imaging. Zbl 1326.49057
Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George
2015
Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023
Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya
2005
The explosion problem in a flow. Zbl 1204.35131
Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya
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
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
Introduction to the network approximation method for materials modeling. Zbl 1273.82001
Berlyand, Leonid; Kolpakov, Alexander G.; Novikov, Alexei
2013
Exit times of diffusions with incompressible drift. Zbl 1387.35493
Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej
2010
Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. Zbl 1081.78016
Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei
2005
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
Coherent imaging without phases. Zbl 1352.49033
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George
2016
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
Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2017
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
Numerical simulations of diffusion in cellular flows at high Péclet numbers. Zbl 1308.76256
Gorb, Yuliya; Nam, Dukjin; Novikov, Alexei
2011
A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Zbl 1208.74008
Novikov, Alexei
2009
Robust multifrequency imaging with MUSIC. Zbl 07000896
Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula
2019
Traveling wave solutions of advection-diffusion equations with nonlinear diffusion. Zbl 1288.35169
Monsaingeon, L.; Novikov, A.; Roquejoffre, J.-M.
2013
Relaxation in reactive flows. Zbl 1177.35119
Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya
2008
Modulational stability of cellular flows. Zbl 1076.76036
Novikov, Alexei
2003
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
Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042
Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya
2012
The regularizing effects of resetting in a particle system for the Burgers equation. Zbl 1248.60071
Iyer, Gautam; Novikov, Alexei
2011
Eddy viscosity of cellular flows by upscaling. Zbl 1087.76085
Novikov, Alexei
2004
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
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
Blow-up of solutions to a $$p$$-Laplace equation. Zbl 1261.35137
Gorb, Yuliya; Novikov, Alexei
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 198 Authors

 13 Novikov, Alexei 9 Xin, Jack X. 7 Li, Haigang 7 Papanicolaou, George C. 7 Zlatoš, Andrej 6 Gorb, Yuliya 6 Moscoso, Miguel 5 Radko, Timour 5 Ryzhik, Lenya 5 Souganidis, Panagiotis E. 4 Borcea, Liliana 4 Crippa, Gianluca 4 Hamel, François 4 Hu, Weiwei 4 Kang, Hyeonbae 4 Tsogka, Chrysoula 4 Yu, Yifeng 3 Bao, Jiguang 3 Ciraolo, Giulio 3 Doering, Charles R. 3 Guevara Vasquez, Fernando 3 Iyer, Gautam 3 Koralov, Leonid B. 3 Li, YanYan 3 Mityushev, Vladimir V. 2 Alberti, Giovanni 2 Bardsley, Patrick 2 Bedrossian, Jacob 2 Berlyand, Leonid V. 2 Calo, Victor Manuel 2 Cardaliaguet, Pierre 2 Cassier, Maxence 2 Chen, Zhiming 2 Coti Zelati, Michele 2 Efendiev, Yalchin R. 2 Galvis, Juan 2 Gordon, Peter V. 2 Huang, Guanghui 2 Kim, Inwon Christina 2 Kiselev, Alexander A. 2 Komorowski, Tomasz 2 Li, Lei 2 Li, Wan-Tong 2 Liu, Jianguo 2 Liu, NaiWei 2 Mazzucato, Anna L. 2 Nawalaniec, Wojciech 2 Nolen, James 2 Ricciuti, Costantino 2 Schulze, Christian 2 Sciammetta, Angela 2 Thiffeault, Jean-Luc 2 Toaldo, Bruno 2 Tran Vinh Hung 2 Vanneste, Jacques 2 Vicol, Vlad C. 2 Wu, Jiahong 2 Xu, Longjuan 2 Yu, SangHyeon 2 Yun, Kihyun 2 Zhang, Bo 2 Zhang, Haiwen 1 Ai, Shangbing 1 Ammari, Habib M. 1 Andrianov, Igor Vasil’evich 1 Aranson, Igor S. 1 Bailleul, Ismaël F. 1 Bakhtin, Yuri Yu. 1 Berestycki, Henri 1 Blanc, Thomas 1 Bogdan, Krzysztof 1 Bostan, Mihai 1 Boyer, Franck 1 Brander, Tommi 1 Burago, Dmitri 1 Capdeboscq, Yves 1 Carstensen, Carsten 1 Catellier, Rémi 1 Chen, Long 1 Cherkaev, Elena 1 Chung, Tsz Shun Eric 1 Ciomaga, Adina 1 Clemente, Rodrigo G. 1 Constantin, Peter 1 Cowan, Craig 1 Dai, Yichen 1 Dietrich, Laurent 1 Do Ó, João M. Bezerra 1 Dolgopyat, Dmitry 1 Elgindi, Tarek Mohamed 1 Fang, Shaofeng 1 Freidlin, Mark I. 1 Froyland, Gary 1 Gao, Hongwei 1 Glatt-Holtz, Nathan E. 1 Golden, Kenneth M. 1 Gyrya, Vitaliy T. 1 Hairer, Martin 1 Hajej, Ahmed 1 Hara, Takanobu ...and 98 more Authors
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#### Cited in 60 Serials

 13 Archive for Rational Mechanics and Analysis 9 Journal of Differential Equations 8 SIAM Journal on Imaging Sciences 6 Journal of Fluid Mechanics 6 SIAM Journal on Mathematical Analysis 5 Inverse Problems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Physica D 5 SIAM Journal on Applied Mathematics 4 Advances in Mathematics 4 Multiscale Modeling & Simulation 3 Journal of Statistical Physics 3 Journal of Functional Analysis 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Communications on Pure and Applied Mathematics 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 The Annals of Probability 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 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Inverse Problems and Imaging 1 Computers & Mathematics with Applications 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 Probability Theory and Related Fields 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 Applied Mathematical Modelling 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 St. Petersburg Mathematical Journal 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 Journal of Theoretical Biology 1 Journal de l’École Polytechnique – Mathématiques 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Pure and Applied Analysis
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#### Cited in 31 Fields

 98 Partial differential equations (35-XX) 52 Fluid mechanics (76-XX) 20 Optics, electromagnetic theory (78-XX) 15 Probability theory and stochastic processes (60-XX) 15 Numerical analysis (65-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Ordinary differential equations (34-XX) 6 Biology and other natural sciences (92-XX) 6 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Geophysics (86-XX) 4 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-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)

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