Edit Profile (opens in new tab) Novikov, Alexei Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1261.35137Gorb, Yuliya; Novikov, Alexei 24 2012 Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R. 22 2012 Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064Novikov, Alexei; Ryzhik, Lenya 20 2007 Homogenization of the \(G\)-equation with incompressible random drift in two dimensions. Zbl 1241.35021Nolen, James; Novikov, Alexei 13 2011 The explosion problem in a flow. Zbl 1204.35131Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya 13 2010 Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 12 2005 Illumination strategies for intensity-only imaging. Zbl 1326.49057Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George 11 2015 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 10 2018 Error of the network approximation for densely packed composites with irregular geometry. Zbl 1055.74033Berlyand, Leonid; Novikov, Alexei 10 2002 Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions. Zbl 1170.76055Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei 10 2009 Introduction to the network approximation method for materials modeling. Zbl 1273.82001Berlyand, Leonid; Kolpakov, Alexander G.; Novikov, Alexei 10 2013 Eddy viscosity of cellular flows. Zbl 0997.76030Novikov, Alexei; Papanicolaou, George 9 2001 Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. Zbl 1081.78016Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei 7 2005 Exit times of diffusions with incompressible drift. Zbl 1387.35493Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej 7 2010 A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 4 2012 Robust multifrequency imaging with MUSIC. Zbl 07000896Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 4 2019 Coherent imaging without phases. Zbl 1352.49033Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George 4 2016 Anomalous diffusion in fast cellular flows at intermediate time scales. Zbl 1342.35029Iyer, Gautam; Novikov, Alexei 3 2016 From homogenization to averaging in cellular flows. Zbl 1302.35039Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya 3 2014 Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 3 2017 Relaxation in reactive flows. Zbl 1177.35119Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya 3 2008 Numerical simulations of diffusion in cellular flows at high Péclet numbers. Zbl 1308.76256Gorb, Yuliya; Nam, Dukjin; Novikov, Alexei 3 2011 Traveling wave solutions of advection-diffusion equations with nonlinear diffusion. Zbl 1288.35169Monsaingeon, L.; Novikov, A.; Roquejoffre, J.-M. 3 2013 A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Zbl 1208.74008Novikov, Alexei 3 2009 Modulational stability of cellular flows. Zbl 1076.76036Novikov, Alexei 2 2003 Eddy viscosity of cellular flows by upscaling. Zbl 1087.76085Novikov, Alexei 1 2004 Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R. 1 2013 The regularizing effects of resetting in a particle system for the Burgers equation. Zbl 1248.60071Iyer, Gautam; Novikov, Alexei 1 2011 Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya 1 2012 Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079Novikov, A.; Kuzmin, D.; Ahmadi, O. 1 2020 Random walk methods for Monte Carlo simulations of Brownian diffusion on a sphere. Zbl 1433.60079Novikov, A.; Kuzmin, D.; Ahmadi, O. 1 2020 Robust multifrequency imaging with MUSIC. Zbl 07000896Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 4 2019 A fractional kinetic process describing the intermediate time behaviour of cellular flows. Zbl 1430.60049Hairer, Martin; Iyer, Gautam; Koralov, Leonid; Novikov, Alexei; Pajor-Gyulai, Zsolt 10 2018 Multifrequency interferometric imaging with intensity-only measurements. Zbl 1382.49042Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Tsogka, Chrysoula 3 2017 Coherent imaging without phases. Zbl 1352.49033Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George 4 2016 Anomalous diffusion in fast cellular flows at intermediate time scales. Zbl 1342.35029Iyer, Gautam; Novikov, Alexei 3 2016 Illumination strategies for intensity-only imaging. Zbl 1326.49057Novikov, Alexei; Moscoso, Miguel; Papanicolaou, George 11 2015 From homogenization to averaging in cellular flows. Zbl 1302.35039Iyer, Gautam; Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya 3 2014 Introduction to the network approximation method for materials modeling. Zbl 1273.82001Berlyand, Leonid; Kolpakov, Alexander G.; Novikov, Alexei 10 2013 Traveling wave solutions of advection-diffusion equations with nonlinear diffusion. Zbl 1288.35169Monsaingeon, L.; Novikov, A.; Roquejoffre, J.-M. 3 2013 Erratum: “Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows”. Zbl 1302.76077Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R. 1 2013 Blow-up of solutions to a \(p\)-Laplace equation. Zbl 1261.35137Gorb, Yuliya; Novikov, Alexei 24 2012 Optimal mixing and optimal stirring for fixed energy, fixed power, or fixed palenstrophy flows. Zbl 1302.76076Lunasin, Evelyn; Lin, Zhi; Novikov, Alexei; Mazzucato, Anna; Doering, Charles R. 22 2012 A differential equations approach to \(l_{1}\)-minimization with applications to array imaging. Zbl 1267.65069Moscoso, Miguel; Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 4 2012 Evolution of particle separation in slowly decorrelating velocity fields. Zbl 1254.60042Komorowski, Tomasz; Novikov, Alexei; Ryzhik, Lenya 1 2012 Homogenization of the \(G\)-equation with incompressible random drift in two dimensions. Zbl 1241.35021Nolen, James; Novikov, Alexei 13 2011 Numerical simulations of diffusion in cellular flows at high Péclet numbers. Zbl 1308.76256Gorb, Yuliya; Nam, Dukjin; Novikov, Alexei 3 2011 The regularizing effects of resetting in a particle system for the Burgers equation. Zbl 1248.60071Iyer, Gautam; Novikov, Alexei 1 2011 The explosion problem in a flow. Zbl 1204.35131Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya 13 2010 Exit times of diffusions with incompressible drift. Zbl 1387.35493Iyer, Gautam; Novikov, Alexei; Ryzhik, Lenya; Zlatoš, Andrej 7 2010 Fictitious fluid approach and anomalous blow-up of the dissipation rate in a two-dimensional model of concentrated suspensions. Zbl 1170.76055Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei 10 2009 A discrete network approximation for effective conductivity of non-Ohmic high-contrast composites. Zbl 1208.74008Novikov, Alexei 3 2009 Relaxation in reactive flows. Zbl 1177.35119Constantin, Peter; Novikov, Alexei; Ryzhik, Lenya 3 2008 Boundary layers and KPP fronts in a cellular flow. Zbl 1109.76064Novikov, Alexei; Ryzhik, Lenya 20 2007 Boundary layers for cellular flows at high Péclet numbers. Zbl 1112.76023Novikov, Alexei; Papanicolaou, George; Ryzhik, Lenya 12 2005 Discrete network approximation for highly-packed composites with irregular geometry in three dimensions. Zbl 1081.78016Berlyand, Leonid; Gorb, Yuliya; Novikov, Alexei 7 2005 Eddy viscosity of cellular flows by upscaling. Zbl 1087.76085Novikov, Alexei 1 2004 Modulational stability of cellular flows. Zbl 1076.76036Novikov, Alexei 2 2003 Error of the network approximation for densely packed composites with irregular geometry. Zbl 1055.74033Berlyand, Leonid; Novikov, Alexei 10 2002 Eddy viscosity of cellular flows. Zbl 0997.76030Novikov, Alexei; Papanicolaou, George 9 2001 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year