Math @ Duke

Papers Published
 Do, T; Kiselev, A; Xu, X, Stability of Blowup for a 1D Model of Axisymmetric 3D Euler Equation,
Journal of Nonlinear Science, vol. 28 no. 6
(December, 2018),
pp. 21272152, Springer Nature America, Inc [doi]
 Kiselev, A, Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics,
Journal of Nonlinear Science, vol. 28 no. 6
(December, 2018),
pp. 20472050, Springer Nature America, Inc [doi]
 Do, T; Kiselev, A; Ryzhik, L; Tan, C, Global Regularity for the Fractional Euler Alignment System,
Archive for Rational Mechanics and Analysis, vol. 228 no. 1
(April, 2018),
pp. 137, Springer Nature [doi]
 Kiselev, A; Tan, C, Finite time blow up in the hyperbolic Boussinesq system,
Advances in Mathematics, vol. 325
(February, 2018),
pp. 3455, Elsevier BV [doi] [abs]
 Kiselev, A; Tan, C, Global Regularity for 1D Eulerian Dynamics with Singular Interaction Forces,
Siam Journal on Mathematical Analysis, vol. 50 no. 6
(January, 2018),
pp. 62086229, Society for Industrial & Applied Mathematics (SIAM) [doi]
 Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y, On the FiniteTime Blowup of a OneDimensional Model for the ThreeDimensional Axisymmetric Euler Equations,
Communications on Pure and Applied Mathematics, vol. 70 no. 11
(November, 2017),
pp. 22182243, WILEY [doi]
 Kiselev, A; Yao, Y; Zlatoš, A, Local Regularity for the Modified SQG Patch Equation,
Communications on Pure and Applied Mathematics, vol. 70 no. 7
(July, 2017),
pp. 12531315, WILEY [doi]
 Kiselev, A; Ryzhik, L; Yao, Y; Zlatoš, A, Finite time singularity for the modified SQG patch equation,
Annals of Mathematics, vol. 184 no. 3
(November, 2016),
pp. 909948, Annals of Mathematics, Princeton U [doi]
 Kiselev, A; Xu, X, Suppression of Chemotactic Explosion by Mixing,
Archive for Rational Mechanics and Analysis, vol. 222 no. 2
(November, 2016),
pp. 10771112, Springer Nature [doi]
 Popov, I; Kurasov, P; Naboko, S; Kiselev, A; Ryzhkov, A; Yafyasov, A; Miroshnichenko, G; Karpeshina, Y; Kruglov, V; Pankratova, T; Popov, A, A distinguished mathematical physicist Boris S. Pavlov
(October, 2016),
pp. 782788 [doi]
 Kiselev, A; Zlatoš, A, Blow up for the 2D Euler equation on some bounded domains,
Journal of Differential Equations, vol. 259 no. 7
(October, 2015),
pp. 34903494, Elsevier BV [doi]
 Choi, K; Kiselev, A; Yao, Y, Finite Time Blow Up for a 1D Model of 2D Boussinesq System,
Communications in Mathematical Physics, vol. 334 no. 3
(March, 2015),
pp. 16671679, Springer Nature [doi]
 Kiselev, A; Šverák, V, Small scale creation for solutions of the incompressible twodimensional Euler equation,
Annals of Mathematics
(November, 2014),
pp. 12051220, Annals of Mathematics, Princeton U [doi]
 Iyer, G; Kiselev, A; Xu, X, Lower bounds on the mix norm of passive scalars advected by incompressible enstrophyconstrained flows,
Nonlinearity, vol. 27 no. 5
(May, 2014),
pp. 973985, IOP Publishing [doi]
 Dabkowski, M; Kiselev, A; Silvestre, L; Vicol, V, Global wellposedness of slightly supercritical active scalar equations,
Analysis & Pde, vol. 7 no. 1
(2014),
pp. 4372, Mathematical Sciences Publishers [doi]
 Kiselev, A; Ryzhik, L, Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case,
Journal of Mathematical Physics, vol. 53 no. 11
(November, 2012),
pp. 115609115609, AIP Publishing [doi]
 Dabkowski, M; Kiselev, A; Vicol, V, Global wellposedness for a slightly supercritical surface quasigeostrophic equation,
Nonlinearity, vol. 25 no. 5
(May, 2012),
pp. 15251535, IOP Publishing [doi]
 Kiselev, A; Ryzhik, L, Biomixing by Chemotaxis and Enhancement of Biological Reactions,
Communications in Partial Differential Equations, vol. 37 no. 2
(February, 2012),
pp. 298318, Informa UK Limited [doi]
 Kiselev, A; Nazarov, F, A Simple Energy Pump for the Surface Quasigeostrophic Equation,
Abel Symposia
(2012),
pp. 175179, Springer Berlin Heidelberg [doi] [abs]
 Kiselev, A, Nonlocal maximum principles for active scalars,
Advances in Mathematics, vol. 227 no. 5
(August, 2011),
pp. 18061826, Elsevier BV [doi]
 Kiselev, A; Nazarov, F, Variation on a theme of caffarelli and vasseur,
Journal of Mathematical Sciences, vol. 166 no. 1
(April, 2010),
pp. 3139, Springer Nature [doi]
 Kiselev, A; Nazarov, F, Global regularity for the critical dispersive dissipative surface quasigeostrophic equation,
Nonlinearity, vol. 23 no. 3
(March, 2010),
pp. 549554, IOP Publishing [doi]
 Berestycki, H; Kiselev, A; Novikov, A; Ryzhik, L, The explosion problem in a flow,
Journal D'Analyse Mathématique, vol. 110 no. 1
(January, 2010),
pp. 3165, Springer Nature [doi]
 Kiselev, A, Regularity and Blow up for Active Scalars,
Mathematical Modelling of Natural Phenomena, vol. 5 no. 4
(2010),
pp. 225255, E D P SCIENCES [doi]
 Kim, A; Kiselev, A, Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials,
Mathematische Nachrichten, vol. 282 no. 4
(April, 2009),
pp. 552568, WILEY [doi]
 Kiselev, A, Diffusion and Mixing in Fluid Flow: A Review
(2009),
pp. 357369, Springer Netherlands, ISBN 9789048128099 [doi]
 Kiselev, A, Some recent results on the critical surface quasigeostrophic equation: A review,
HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 1, vol. 67
(2009),
pp. 105122, ISBN 9780821847299
 Constantin, P; Kiselev, A; Ryzhik, L; Zlatoš, A, Diffusion and mixing in fluid flow,
Annals of Mathematics, vol. 168 no. 2
(September, 2008),
pp. 643674, Annals of Mathematics, Princeton U [doi]
 Kiselev, A; Nazarov, F; Shterenberg, R, Blow up and regularity for fractal Burgers equation,
Dynamics of Partial Differential Equations, vol. 5 no. 3
(2008),
pp. 211240, International Press of Boston [doi] [abs]
 Kiselev, A; Shterenberg, R; Zlatos, A, Relaxation enhancement by timeperiodic flows,
Indiana University Mathematics Journal, vol. 57 no. 5
(2008),
pp. 21372152, Indiana University Mathematics Journal [doi]
 Kiselev, A; Nazarov, F; Volberg, A, Global wellposedness for the critical 2D dissipative quasigeostrophic equation,
Inventiones Mathematicae, vol. 167 no. 3
(January, 2007),
pp. 445453, Springer Nature [doi]
 Denisov, SA; Kiselev, A, Spectral properties of schrodinger operators with decaying potentials,
Proceedings of Symposia in Pure Mathematics, vol. 76
(2007),
pp. 565589
 Kiselev, A; Zlatoš, A, Quenching of combustion by shear flows,
Duke Mathematical Journal, vol. 132 no. 1
(March, 2006),
pp. 4972, Duke University Press [doi]
 Fannjiang, A; Kiselev, A; Ryzhik, L, Quenching of reaction by cellular flows,
Geometrical and Functional Analysis Gafa, vol. 16 no. 1
(February, 2006),
pp. 4069, Springer Nature [doi]
 Andrzejewski, D; Butzlaff, E; Kiselev, A; Markely, LRA, Enhancement of combustion by drift in a coupled reactiondiffusion model,
Communications in Mathematical Sciences, vol. 4 no. 1
(2006),
pp. 213225, International Press of Boston [doi]
 Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L, Quenching and Propagation in KPP ReactionDiffusion Equations with a Heat Loss,
Archive for Rational Mechanics and Analysis, vol. 178 no. 1
(October, 2005),
pp. 5780, Springer Nature [doi]
 Kiselev, A; Zlatoš, A, On discrete models of the Euler equation,
International Mathematics Research Notices no. 38
(August, 2005),
pp. 23152339
 Kiselev, A, Imbedded singular continuous spectrum for Schrödinger operators,
Journal of the American Mathematical Society, vol. 18 no. 3
(July, 2005),
pp. 571603 [doi]
 Germinet, F; Kiselev, A; Tcheremchantsev, S, Transfer matrices and transport for Schrödinger operators,
Annales De L’Institut Fourier, vol. 54 no. 3
(2004),
pp. 787830 [doi]
 Constantin, P; Kiselev, A; Ryzhik, L, Fronts in reactive convection: Bounds, stability, and instability,
Communications on Pure and Applied Mathematics, vol. 56 no. 12
(December, 2003),
pp. 17811803, WILEY [doi]
 Vladimirova, N; Constantin, P; Kiselev, A; Ruchayskiy, O; Ryzhik, L, Flame enhancement and quenching in fluid flows,
Combustion Theory and Modelling, vol. 7 no. 3
(September, 2003),
pp. 487508, Informa UK Limited [doi]
 Christ, M; Kiselev, A, Absolutely continuous spectrum of Stark operators,
Arkiv För Matematik, vol. 41 no. 1
(April, 2003),
pp. 133, International Press of Boston [doi]
 Kiselev, A; Last, Y; Simon, B, Stability of singular spectral types under decaying perturbations,
Journal of Functional Analysis, vol. 198 no. 1
(February, 2003),
pp. 127, Elsevier BV [doi]
 Killip, R; Kiselev, A; Last, Y, Dynamical upper bounds on wavepacket spreading,
American Journal of Mathematics, vol. 125 no. 5
(2003),
pp. 11651198, Johns Hopkins University Press [doi]
 Christ, M; Kiselev, A, Scattering and Wave Operators for OneDimensional Schr�dinger Operators with Slowly Decaying Nonsmooth Potentials,
Geometrical and Functional Analysis Gafa, vol. 12 no. 6
(December, 2002),
pp. 11741234, Springer Nature [doi]
 Gesztesy, F; Kiselev, A; Makarov, KA, Uniqueness Results for MatrixValued Schrödinger, Jacobi, and DiracType Operators,
Mathematische Nachrichten, vol. 239240 no. 1
(June, 2002),
pp. 103145, WILEY [doi]
 Constantin, P; Kiselev, A; Ryzhik, L, Quenching of flames by fluid advection,
Communications on Pure and Applied Mathematics, vol. 54 no. 11
(November, 2001),
pp. 13201342, WILEY [doi]
 Kiselev, A; Ryzhik, L, An upper bound for the bulk burning rate for systems,
Nonlinearity, vol. 14 no. 5
(September, 2001),
pp. 12971310, IOP Publishing [doi]
 Kiselev, A; Ryzhik, L, Enhancement of the traveling front speeds in reactiondiffusion equations with advection,
Annales De L'Institut Henri Poincare (C) Non Linear Analysis, vol. 18 no. 3
(May, 2001),
pp. 309358, Elsevier BV [doi]
 Christ, M; Kiselev, A, WKB and Spectral Analysis¶of OneDimensional Schrödinger Operators¶with Slowly Varying Potentials,
Communications in Mathematical Physics, vol. 218 no. 2
(April, 2001),
pp. 245262, Springer Nature [doi]
 Christ, M; Kiselev, A, WKB Asymptotic Behavior of Almost All Generalized Eigenfunctions for OneDimensional Schrödinger Operators with Slowly Decaying Potentials,
Journal of Functional Analysis, vol. 179 no. 2
(February, 2001),
pp. 426447, Elsevier BV [doi]
 Christ, M; Kiselev, A, Maximal Functions Associated to Filtrations,
Journal of Functional Analysis, vol. 179 no. 2
(February, 2001),
pp. 409425, Elsevier BV [doi]
 Kiselev, A, Absolutely continuous spectrum of perturbed stark operators,
Transactions of the American Mathematical Society, vol. 352 no. 1
(December, 2000),
pp. 243256 [abs]
 Constantin, P; Kiselev, A; Oberman, A; Ryzhik, L, Bulk Burning Rate in¶Passive–Reactive Diffusion,
Archive for Rational Mechanics and Analysis, vol. 154 no. 1
(August, 2000),
pp. 5391, Springer Nature [doi]
 Last, Y; Kiselev, A, Solutions, spectrum, and dynamics for Schr�dinger operators on infinite domains,
Duke Mathematical Journal, vol. 102 no. 1
(March, 2000),
pp. 125150, Duke University Press [doi]
 Kiselev, A, An interpolation theorem related to the A.E. convergence of integral operators,
Proceedings of the American Mathematical Society, vol. 127 no. 6
(December, 1999),
pp. 17811785 [abs]
 Kiselev, A; Remling, C; Simon, B, Effective Perturbation Methods for OneDimensional Schrödinger Operators,
Journal of Differential Equations, vol. 151 no. 2
(January, 1999),
pp. 290312, Elsevier BV [doi]
 Christ, M; Kiselev, A, Absolutely continuous spectrum for onedimensional Schrödinger operators with slowly decaying potentials: Some optimal results,
Journal of the American Mathematical Society, vol. 11 no. 4
(October, 1998),
pp. 771797
 Kiselev, A, and a.e. convergence of integral operators,
Duke Mathematical Journal, vol. 94 no. 3
(September, 1998),
pp. 619646, Duke University Press [doi]
 Kiselev, A; Last, Y; Simon, B, Modified Prüfer and EFGP Transforms and the Spectral Analysis of OneDimensional Schrödinger Operators,
Communications in Mathematical Physics, vol. 194 no. 1
(May, 1998),
pp. 145, Springer Nature [doi]
 Kiselev, A, Some Examples in OneDimensional “Geometric” Scattering on Manifolds,
Journal of Mathematical Analysis and Applications, vol. 212 no. 1
(August, 1997),
pp. 263280, Elsevier BV [doi]
 Christ, M; Kiselev, A; Remling, C, The absolutely continuous spectrum of onedimensional Schrödinger operators with decaying potentials,
Mathematical Research Letters, vol. 4 no. 5
(1997),
pp. 719723, International Press of Boston [doi]
 Kiselev, A, Absolutely continuous spectrum of onedimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials,
Communications in Mathematical Physics, vol. 179 no. 2
(August, 1996),
pp. 377399, Springer Nature [doi]
 Kiselev, AA; Popov, IY, Indefinite metric and scattering by a domain with a small hole,
Mathematical Notes, vol. 58 no. 6
(December, 1995),
pp. 12761285, Springer Nature [doi]
 Kiselev, A; Simon, B, Rank One Perturbations with Infinitesimal Coupling,
Journal of Functional Analysis, vol. 130 no. 2
(June, 1995),
pp. 345356, Elsevier BV [doi]


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Mathematics Department
Duke University, Box 90320
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