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Publications of Alexander A. Kiselev    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. Hu, Z; Kiselev, A, Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary, Journal of Functional Analysis, vol. 287 no. 7 (October, 2024) [doi]  [abs]
  2. Gong, Y; Kiselev, A, CHEMOTACTIC REACTION ENHANCEMENT IN ONE DIMENSION, Communications in Mathematical Sciences, vol. 22 no. 5 (January, 2024), pp. 1287-1305 [doi]  [abs]
  3. Kiselev, A; Luo, X, The α-SQG patch problem is illposed in C2,β and W2,p, Communications on Pure and Applied Mathematics (January, 2024) [doi]  [abs]
  4. Gong, Y; Kiselev, A, A simple reaction-diffusion system as a possible model for the origin of chemotaxis., Journal of biological dynamics, vol. 17 no. 1 (December, 2023), pp. 2260833 [doi]  [abs]
  5. Kiselev, A; Luo, X, Illposedness of C2 Vortex Patches, Archive for Rational Mechanics and Analysis, vol. 247 no. 3 (June, 2023) [doi]  [abs]
  6. Kiselev, A; Luo, X, On Nonexistence of Splash Singularities for the α -SQG Patches, Journal of Nonlinear Science, vol. 33 no. 2 (April, 2023) [doi]  [abs]
  7. Kiselev, A; Yao, Y, Small Scale Formations in the Incompressible Porous Media Equation, Archive for Rational Mechanics and Analysis, vol. 247 no. 1 (February, 2023) [doi]  [abs]
  8. Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and reactions in biology, Journal of the European Mathematical Society, vol. 25 no. 7 (January, 2023), pp. 2641-2696 [doi]  [abs]
  9. Kiselev, A; Tan, C, The Flow of Polynomial Roots Under Differentiation, Annals of PDE, vol. 8 no. 2 (December, 2022) [doi]  [abs]
  10. Gong, Y; He, S; Kiselev, A, Random Search in Fluid Flow Aided by Chemotaxis., Bulletin of mathematical biology, vol. 84 no. 7 (June, 2022), pp. 71 [doi]  [abs]
  11. Chouliara, D; Gong, Y; He, S; Kiselev, A; Lim, J; Melikechi, O; Powers, K, Hitting time of Brownian motion subject to shear flow, Involve, vol. 15 no. 1 (January, 2022), pp. 131-140 [doi]  [abs]
  12. Kiselev, A; Tan, C, GLOBAL REGULARITY FOR A NONLOCAL PDE DESCRIBING EVOLUTION OF POLYNOMIAL ROOTS UNDER DIFFERENTIATION, SIAM Journal on Mathematical Analysis, vol. 54 no. 3 (January, 2022), pp. 3161-3191 [doi]  [abs]
  13. Kiselev, A; Luo, X, On nonexistence of splash singularities for the $α$-SQG patches (November, 2021)  [abs]
  14. He, S; Kiselev, A, Boundary layer models of the Hou-Luo scenario, Journal of Differential Equations, vol. 298 (October, 2021), pp. 182-204 [doi]  [abs]
  15. Gong, Y; He, S; Kiselev, A, Random search in fluid flow aided by chemotaxis (July, 2021)  [abs]
  16. Gong, Y; Kiselev, A, Chemotactic Reaction Enhancement in One Dimension (March, 2021)  [abs]
  17. Kiselev, A; Yao, Y, Small scale formations in the incompressible porous media equation (February, 2021)  [abs]
  18. He, S; Kiselev, A, Small-scale creation for solutions of the sqg equation, Duke Mathematical Journal, vol. 170 no. 5 (January, 2021), pp. 1027-1041, Duke University Press [doi]  [abs]
  19. Kiselev, A; Tan, C, The Flow of Polynomial Roots Under Differentiation (December, 2020)  [abs]
  20. Kiselev, A; Nazarov, F; Ryzhik, L; Yao, Y, Chemotaxis and Reactions in Biology (April, 2020)  [abs]
  21. Kiselev, AA, Small Scale Creation in Active Scalars, in Lecture Notes in Mathematics, vol. 2272 (January, 2020), pp. 125-161 [doi]  [abs]
  22. Kiselev, AA, Small Scale Creation in Active Scalars, in Lecture Notes in Mathematics, PROGRESS IN MATHEMATICAL FLUID DYNAMICS, vol. 2272 (2020), pp. 123-159, ISBN 978-3-030-54898-8 [doi]  [abs]
  23. Kiselev, A; Li, C, Global regularity and fast small-scale formation for Euler patch equation in a smooth domain, Communications in Partial Differential Equations, vol. 44 no. 4 (April, 2019), pp. 279-308 [doi]  [abs]
  24. Kiselev, A, Special Issue Editorial: Small Scales and Singularity Formation in Fluid Dynamics, Journal of Nonlinear Science, vol. 28 no. 6 (December, 2018), pp. 2047-2050, Springer Nature America, Inc [doi]
  25. 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. 2127-2152, Springer Nature America, Inc [doi]  [abs]
  26. 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. 1-37, Springer Nature [doi]  [abs]
  27. Kiselev, A; Tan, C, Finite time blow up in the hyperbolic Boussinesq system, Advances in Mathematics, vol. 325 (February, 2018), pp. 34-55, Elsevier BV [doi]  [abs]
  28. 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. 6208-6229, Society for Industrial & Applied Mathematics (SIAM) [doi]  [abs]
  29. Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y, On the Finite-Time Blowup of a One-Dimensional Model for the Three-Dimensional Axisymmetric Euler Equations, Communications on Pure and Applied Mathematics, vol. 70 no. 11 (November, 2017), pp. 2218-2243, WILEY [doi]  [abs]
  30. 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. 1253-1315, WILEY [doi]  [abs]
  31. Kiselev, A; Xu, X, Suppression of Chemotactic Explosion by Mixing, Archive for Rational Mechanics and Analysis, vol. 222 no. 2 (November, 2016), pp. 1077-1112, Springer Nature [doi]  [abs]
  32. Popov, IY; Kurasov, PA; Naboko, SN; Kiselev, AA; Ryzhkov, AE; Yafyasov, AM; Miroshnichenko, GP; Karpeshina, YE; Kruglov, VI; Pankratova, TF; Popov, AI, A distinguished mathematical physicist Boris S. Pavlov, Nanosystems: Physics, Chemistry, Mathematics (October, 2016), pp. 782-788, ITMO University [doi]
  33. Kiselev, A; Ryzhik, L; Yao, Y; Zlatoš, A, Finite time singularity for the modified SQG patch equation, Annals of Mathematics, vol. 184 no. 3 (January, 2016), pp. 909-948, Annals of Mathematics, Princeton U [doi]  [abs]
  34. 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. 3490-3494, Elsevier BV [doi]  [abs]
  35. 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. 1667-1679, Springer Nature [doi]  [abs]
  36. Choi, K; Hou, TY; Kiselev, A; Luo, G; Sverak, V; Yao, Y, On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations (July, 2014)  [abs]
  37. Kiselev, A; Šverák, V, Small scale creation for solutions of the incompressible two-dimensional Euler equation, Annals of Mathematics, vol. 180 no. 3 (January, 2014), pp. 1205-1220, Annals of Mathematics, Princeton U [doi]  [abs]
  38. Iyer, G; Kiselev, A; Xu, X, Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows, Nonlinearity, vol. 27 no. 5 (January, 2014), pp. 973-985, IOP Publishing [doi]  [abs]
  39. Dabkowski, M; Kiselev, A; Silvestre, L; Vicol, V, Global well-posedness of slightly supercritical active scalar equations, Analysis and PDE, vol. 7 no. 1 (January, 2014), pp. 43-72, Mathematical Sciences Publishers [doi]  [abs]
  40. Kiselev, A; Nazarov, F, A simple energy pump for the surface quasi-geostrophic equation, Nonlinear Partial Differential Equations: The Abel Symposium 2010 (December, 2012), pp. 175-179, Springer Berlin Heidelberg [doi]  [abs]
  41. 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. 115609-115609, AIP Publishing [doi]  [abs]
  42. Dabkowski, M; Kiselev, A; Vicol, V, Global well-posedness for a slightly supercritical surface quasi-geostrophic equation, Nonlinearity, vol. 25 no. 5 (May, 2012), pp. 1525-1535, IOP Publishing [doi]  [abs]
  43. Kiselev, A; Ryzhik, L, Biomixing by Chemotaxis and Enhancement of Biological Reactions, Communications in Partial Differential Equations, vol. 37 no. 2 (February, 2012), pp. 298-318, Informa UK Limited [doi]  [abs]
  44. Kiselev, A, Nonlocal maximum principles for active scalars, Advances in Mathematics, vol. 227 no. 5 (August, 2011), pp. 1806-1826, Elsevier BV [doi]  [abs]
  45. Kiselev, A; Nazarov, F, Variation on a theme of caffarelli and vasseur, Journal of Mathematical Sciences, vol. 166 no. 1 (March, 2010), pp. 31-39, Springer Nature [doi]  [abs]
  46. Kiselev, A; Nazarov, F, Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation, Nonlinearity, vol. 23 no. 3 (February, 2010), pp. 549-554, IOP Publishing [doi]  [abs]
  47. Berestycki, H; Kiselev, A; Novikov, A; Ryzhik, L, The explosion problem in a flow, Journal d'Analyse Mathematique, vol. 110 no. 1 (January, 2010), pp. 31-65, Springer Nature [doi]  [abs]
  48. Kiselev, A, Regularity and blow up for active scalars, Mathematical Modelling of Natural Phenomena, vol. 5 no. 4 (January, 2010), pp. 225-255, E D P SCIENCES [doi]  [abs]
  49. Kim, A; Kiselev, A, Absolutely continuous spectrum of discrete Schrödinger operators with slowly oscillating potentials, Mathematische Nachrichten, vol. 282 no. 4 (April, 2009), pp. 552-568, WILEY [doi]  [abs]
  50. Kiselev, A, Some recent results on the critical surface quasi-geostrophic equation: A review, edited by Tadmor, E; Liu, J; Tzavaras, A, HYPERBOLIC PROBLEMS: THEORY, NUMERICS AND APPLICATIONS, PART 1, vol. 67 (January, 2009), pp. 105-122, AMER MATHEMATICAL SOC, ISBN 978-0-8218-4729-9
  51. Kiselev, A, Diffusion and Mixing in Fluid Flow: A Review (2009), pp. 357-369, Springer Netherlands, ISBN 9789048128099 [doi]
  52. Kiselev, A; Shterenberg, R; Zlatoš, A, Relaxation enhancement by time-periodic flows, Indiana University Mathematics Journal, vol. 57 no. 5 (December, 2008), pp. 2137-2152, Indiana University Mathematics Journal [doi]  [abs]
  53. Kiselev, A; Nazarov, F; Shterenberg, R, Blow up and regularity for fractal burgers equation, Dynamics of Partial Differential Equations, vol. 5 no. 3 (January, 2008), pp. 211-240, International Press of Boston [doi]  [abs]
  54. Constantin, P; Kiselev, A; Ryzhik, L; Zlatoš, A, Diusion and mixing in fluid flow, Annals of Mathematics, vol. 168 no. 2 (January, 2008), pp. 643-674, Annals of Mathematics, Princeton U [doi]  [abs]
  55. Kiselev, A; Nazarov, F; Volberg, A, Global well-posedness for the critical 2D dissipative quasi-geostrophic equation, Inventiones Mathematicae, vol. 167 no. 3 (March, 2007), pp. 445-453, Springer Nature [doi]  [abs]
  56. Denisov, SA; Kiselev, A, Spectral properties of schrodinger operators with decaying potentials, edited by Gesztesy, F; Deift, P; Galvez, C; Perry, P; Schlag, W, SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY, vol. 76 (January, 2007), pp. 565-589, AMER MATHEMATICAL SOC
  57. Kiselev, A; Zlatoš, A, Quenching of combustion by shear flows, Duke Mathematical Journal, vol. 132 no. 1 (March, 2006), pp. 49-72, Duke University Press [doi]  [abs]
  58. Fannjiang, A; Kiselev, A; Ryzhik, L, Quenching of reaction by cellular flows, Geometric and Functional Analysis, vol. 16 no. 1 (February, 2006), pp. 40-69, Springer Nature [doi]  [abs]
  59. Andrzejewski, D; Butzlaff, E; Kiselev, A; Markely, LRA, Enhancement of combustion by drift in a coupled reaction-diffusion model, Communications in Mathematical Sciences, vol. 4 no. 1 (2006), pp. 213-225, International Press of Boston [doi]
  60. Berestycki, H; Hamel, F; Kiselev, A; Ryzhik, L, Quenching and propagation in KPP reaction-diffusion equations with a heat loss, Archive for Rational Mechanics and Analysis, vol. 178 no. 1 (October, 2005), pp. 57-80, Springer Nature [doi]  [abs]
  61. Kiselev, A; Zlatoš, A, On discrete models of the Euler equation, International Mathematics Research Notices no. 38 (August, 2005), pp. 2315-2339 [doi]
  62. Kiselev, A, Imbedded singular continuous spectrum for Schrödinger operators, Journal of the American Mathematical Society, vol. 18 no. 3 (July, 2005), pp. 571-603 [doi]
  63. Germinet, F; Kiselev, A; Tcheremchantsev, S, Transfer matrices and transport for Schrödinger operators, Annales de l’institut Fourier, vol. 54 no. 3 (2004), pp. 787-830, Cellule MathDoc/CEDRAM [doi]
  64. 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. 1781-1803, WILEY [doi]  [abs]
  65. 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. 487-508, Informa UK Limited [doi]  [abs]
  66. Kiselev, A; Last, Y; Simon, B, Stability of singular spectral types under decaying pertubations, Journal of Functional Analysis, vol. 198 no. 1 (February, 2003), pp. 1-27, Elsevier BV [doi]  [abs]
  67. Christ, M; Kiselev, A, Absolutely continuous spectrum of Stark operators, Arkiv for Matematik, vol. 41 no. 1 (January, 2003), pp. 1-33, International Press of Boston [doi]  [abs]
  68. Killip, R; Kiselev, A; Last, Y, Dynamical upper bounds on wavepacket spreading, American Journal of Mathematics, vol. 125 no. 5 (January, 2003), pp. 1165-1198, Johns Hopkins University Press [doi]  [abs]
  69. Gesztesy, F; Kiselev, A; Makarov, KA, Uniqueness results for matrix-valued Schrödinger, Jacobi, and Dirac-type operators, Mathematische Nachrichten, vol. 239-240 no. 1 (August, 2002), pp. 103-145, WILEY [doi]  [abs]
  70. Christ, M; Kiselev, A, Scattering and wave operators for one-dimensional Schrödinger operators with slowly decaying nonsmooth potentials, Geometric and Functional Analysis, vol. 12 no. 6 (January, 2002), pp. 1174-1234, Springer Nature [doi]  [abs]
  71. 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. 1320-1342, WILEY [doi]  [abs]
  72. Kiselev, A; Ryzhik, L, An upper bound for the bulk burning rate for systems, Nonlinearity, vol. 14 no. 5 (September, 2001), pp. 1297-1310, IOP Publishing [doi]  [abs]
  73. Christ, M; Kiselev, A, WKB asymptotic behavior of almost all generalized eigenfunctions for one-dimensional Schrödinger operators with slowly decaying potentials, Journal of Functional Analysis, vol. 179 no. 2 (February, 2001), pp. 426-447, Elsevier BV [doi]  [abs]
  74. Christ, M; Kiselev, A, Maximal functions associated to filtrations, Journal of Functional Analysis, vol. 179 no. 2 (February, 2001), pp. 409-425, Elsevier BV [doi]  [abs]
  75. Kiselev, A; Ryzhik, L, Enhancement of the traveling front speeds in reaction-diffusion equations with advection, Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, vol. 18 no. 3 (January, 2001), pp. 309-358, Elsevier BV [doi]  [abs]
  76. Christ, M; Kiselev, A, WKB and spectral analysis of one-dimensional Schrödinger operators with slowly varying potentials, Communications in Mathematical Physics, vol. 218 no. 2 (January, 2001), pp. 245-262, Springer Nature [doi]  [abs]
  77. Kiselev, A, Absolutely continuous spectrum of perturbed stark operators, Transactions of the American Mathematical Society, vol. 352 no. 1 (January, 2000), pp. 243-256 [doi]  [abs]
  78. 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 (January, 2000), pp. 53-91, Springer Nature [doi]  [abs]
  79. Kiselev, A; Last, Y, Solutions, spectrum, and dynamics for schrödinger operators on infinite domains, Duke Mathematical Journal, vol. 102 no. 1 (January, 2000), pp. 125-150, Duke University Press [doi]
  80. Kiselev, A; Remling, C; Simon, B, Effective perturbation methods for one-dimensional Schrödinger operators, Journal of Differential Equations, vol. 151 no. 2 (January, 1999), pp. 290-312, Elsevier BV [doi]
  81. Kiselev, A, An interpolation theorem related to the A.E. convergence of integral operators, Proceedings of the American Mathematical Society, vol. 127 no. 6 (January, 1999), pp. 1781-1785 [doi]  [abs]
  82. Christ, M; Kiselev, A, Absolutely continuous spectrum for one-dimensional Schrödinger operators with slowly decaying potentials: Some optimal results, Journal of the American Mathematical Society, vol. 11 no. 4 (January, 1998), pp. 771-797 [doi]
  83. Kiselev, A, Stability of the absolutely continuous spectrum of the Schrödinger equation under slowly decaying perturbations and A.E. convergence of integral operators, Duke Mathematical Journal, vol. 94 no. 3 (January, 1998), pp. 619-646, Duke University Press [doi]
  84. Kiselev, A; Last, Y; Simon, B, Modified prüfer and EFGP transforms and the spectral analysis of one dimensional schrödinger operators, Communications in Mathematical Physics, vol. 194 no. 1 (January, 1998), pp. 1-45, Springer Nature [doi]
  85. Kiselev, A, Some examples in one-dimensional "geometric" scattering on manifolds, Journal of Mathematical Analysis and Applications, vol. 212 no. 1 (August, 1997), pp. 263-280, Elsevier BV [doi]  [abs]
  86. Christ, M; Kiselev, A; Remling, C, The absolutely continuous spectrum of one-dimensional Schrödinger operators with decaying potentials, Mathematical Research Letters, vol. 4 no. 5 (January, 1997), pp. 719-723, International Press of Boston [doi]
  87. Kiselev, A, Absolutely continuous spectrum of one-dimensional Schrödinger operators and Jacobi matrices with slowly decreasing potentials, Communications in Mathematical Physics, vol. 179 no. 2 (January, 1996), pp. 377-399, Springer Nature [doi]  [abs]
  88. Kiselev, AA; Popov, IY, Indefinite metric and scattering by a domain with a small hole, Mathematical Notes, vol. 58 no. 6 (January, 1995), pp. 1276-1285, Springer Nature [doi]  [abs]
  89. Kiselev, A; Simon, B, Rank one perturbations with infinitesimal coupling, Journal of Functional Analysis, vol. 130 no. 2 (January, 1995), pp. 345-356, Elsevier BV [doi]  [abs]
  90. Kiselev, AA; Pavlov, BS, Eigenfrequencies and eigenfunctions of the Laplacian for Neumann boundary conditions in a system of two coupled cavities, Theoretical and Mathematical Physics, vol. 100 no. 3 (September, 1994), pp. 1065-1074 [doi]  [abs]
  91. Kiselev, AA; Pavlov, BS, Essential spectrum of the Laplacian for the Neumann problem in a model region of complicated structure, Theoretical and Mathematical Physics, vol. 99 no. 1 (April, 1994), pp. 383-395 [doi]  [abs]

 

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