Roudenko, Svetlana

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Roudenko, Svetlana Graduate Faculty

Positions

Professor, Mathematics and Statistics , College of Arts, Sciences & Education

sroudenk@fiu.edu

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Wikipedia

overview

Svetlana Roudenko is a Professor in Mathematics and Statistics and the Graduate Program Director.

Ph.D. in Mathematics, 2002, Michigan State University
M.S. in Applied Math, 1996, Obninsk State Technical University (Russia)

selected scholarly works & creative activities

Article
- 2025
  
  Blow-up in the 2D cubic Zakharov-Kuznetsov equation in finite or infinite time. Partial Differential Equations and Applications. 6.
  Full Text via DOI: 10.1007/s42985-025-00358-7 Web of Science: 001613874200001
- 2025
  
  On the well-posedness of the periodic fractional Schrödinger equation. Partial Differential Equations and Applications. 6.
  Full Text via DOI: 10.1007/s42985-025-00327-0 Web of Science: 001478284500001
- 2023
  
  ASYMPTOTIC STABILITY OF SOLITARY WAVES OF THE 3D QUADRATIC ZAKHAROV-KUZNETSOV EQUATION. American Journal of Mathematics. 145:1695-1775.
  Full Text via DOI: 10.1353/ajm.2023.a913295 Web of Science: 001121073300001
- 2023
  
  Interaction with an obstacle in the 2D focusing nonlinear Schrodinger equation. Advances in Computational Mathematics. 49.
  Full Text via DOI: 10.1007/s10444-023-10055-x Web of Science: 001065301000001
- 2023
  
  Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity. Nonlinearity. 36:584-635.
  Full Text via DOI: 10.1088/1361-6544/ac93e1 Web of Science: 000907481500001
- 2022
  
  Well-posedness in weighted spaces for the generalized Hartree equation with p < 2. Communications in Contemporary Mathematics. 24.
  Full Text via DOI: 10.1142/S0219199721500747 Web of Science: 000875481200008
- 2022
  
  Global Behavior of Solutions to the Focusing Generalized Hartree Equation. Michigan Mathematical Journal. 71:619-672.
  Full Text via DOI: 10.1307/mmj/20205855 Web of Science: 000842055300008
- 2022
  
  Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle. Journal of Functional Analysis. 282.
  Full Text via DOI: 10.1016/j.jfa.2021.109326 Web of Science: 000781808900012
- 2022
  
  Higher dimensional generalization of the Benjamin-Ono equation: 2D case. Studies in Applied Mathematics. 148:498-542.
  Full Text via DOI: 10.1111/sapm.12448 Web of Science: 000698199800001
- 2022
  
  Threshold solutions for the nonlinear Schrodinger equation. Revista matemática iberoamericana. 38:1637-1708.
  Full Text via DOI: 10.4171/RMI/1337 Web of Science: 000917913600010
- 2021
  
  Behavior of solutions to the 1D focusing stochastic nonlinear Schrodinger equation with spatially correlated noise. Stochastics and Partial Differential Equations: Analysis and Computations. 9:1031-1080.
  Full Text via DOI: 10.1007/s40072-021-00191-0 Web of Science: 000628724500001
- 2021
  
  Behaviour of solutions to the 1D focusing stochastic L²-critical and supercritical nonlinear Schrodinger equation with space-time white noise. IMA Journal of Applied Mathematics. 86:1349-1396.
  Full Text via DOI: 10.1093/imamat/hxab040 Web of Science: 000743933700007
- 2021
  
  Dynamics of solutions in the generalized Benjamin-Ono equation: A numerical study. Journal of Computational Physics. 445.
  Full Text via DOI: 10.1016/j.jcp.2021.110570 Web of Science: 000722631000014
- 2021
  
  Numerical study of soliton stability, resolution and interactions in the 3D Zakharov-Kuznetsov equation. Physica D : Non-linear phenomena. 423.
  Full Text via DOI: 10.1016/j.physd.2021.132913 Web of Science: 000661734700004
- 2021
  
  Littlewood-Paley theory for matrix-weighted function spaces. Mathematische Annalen. 380:487-537.
  Full Text via DOI: 10.1007/s00208-020-02088-0 Web of Science: 000608081200001
- 2021
  
  Numerical Study of Zakharov-Kuznetsov Equations in Two Dimensions. Journal of Nonlinear Science. 31.
  Full Text via DOI: 10.1007/s00332-021-09680-x Web of Science: 000618213000001
- 2020
  
  ON THE FOCUSING GENERALIZED HARTREE EQUATION. Mathematics in Applied Sciences and Engineering. 1:383-402.
  Full Text via DOI: 10.5206/mase/10855 Web of Science: 001057752700008
- 2020
  
  Well-posedness and blow-up properties for the generalized Hartree equation. Journal of Hyperbolic Differential Equations. 17:727-763.
  Full Text via DOI: 10.1142/S0219891620500228 Web of Science: 000614111500004
- 2020
  
  Stable blow-up dynamics in the L²-critical and L²-supercritical generalized Hartree equation. Studies in Applied Mathematics. 145:647-695.
  Full Text via DOI: 10.1111/sapm.12328 Web of Science: 000556598300001
- 2020
  
  Global well-posedness for low regularity data in the 2d modified Zakharov-Kuznetsov equation. Journal of Differential Equations. 268:7962-7997.
  Full Text via DOI: 10.1016/j.jde.2019.11.092 Web of Science: 000520930900024
- 2019
  
  On instability of solitons in the 2d cubic Zakharov-Kuznetsov equation. Sao Paulo Journal of Mathematical Sciences. 13:435-446.
  Full Text via DOI: 10.1007/s40863-019-00142-7 Web of Science: 000514164000006
- 2019
  
  Blow-up dynamics in the mass super-critical NLS equations. Physica D : Non-linear phenomena. 396:47-69.
  Full Text via DOI: 10.1016/j.physd.2019.02.015 Web of Science: 000470949700005
- 2018
  
  Blow-up dynamics and spectral property in the L²-critical nonlinear Schrodinger equation in high dimensions. Nonlinearity. 31:4354-4392.
  Full Text via DOI: 10.1088/1361-6544/aacc41 Web of Science: 000441191000001
- 2018
  
  GENERALIZED KDV EQUATION SUBJECT TO A STOCHASTIC PERTURBATION. Discrete and Continuous Dynamical Systems - Series B. 23:1177-1198.
  Full Text via DOI: 10.3934/dcdsb.2018147 Web of Science: 000431856600010
- 2015
  
  A SOLUTION TO THE FOCUSING 3D NLS THAT BLOWS UP ON A CONTRACTING SPHERE. Transactions of the American Mathematical Society. 367:3847-3872.
  Full Text via DOI: 10.1090/S0002-9947-2015-06057-7 Web of Science: 000351859600004
- 2015
  
  Going Beyond the Threshold: Scattering and Blow-up in the Focusing NLS Equation. Communications in Mathematical Physics. 334:1573-1615.
  Full Text via DOI: 10.1007/s00220-014-2202-y Web of Science: 000350030500012
- 2014
  
  Modeling the Influence of Environment and Intervention on Cholera in Haiti. Mathematics. 2:136-171.
  Full Text via DOI: 10.3390/math2030136 Web of Science: 000215744900002
- 2013
  
  Stability of Efficient Deterministic Compressed Sensing for Images with Chirps and Reed-Muller Sequences. Applied Mathematics. 04:183-196.
  Full Text via DOI: 10.4236/am.2013.41a029
- 2012
  
  Wavelet-Based De-noising of Positron Emission Tomography Scans. Journal of Scientific Computing. 50:665-677.
  Full Text via DOI: 10.1007/s10915-011-9529-8 Web of Science: 000302257300009
- 2012
  
  BLOW-UP SOLUTIONS ON A SPHERE FOR THE 3D QUINTIC NLS IN THE ENERGY SPACE. Analysis & PDE. 5:475-512.
  Full Text via DOI: 10.2140/apde.2012.5.475 Web of Science: 000310810800002
- 2011
  
  A Class of Solutions to the 3D Cubic Nonlinear Schro "dinger Equation that Blows Up on a Circle. Applied Mathematics Research eXpress. 23-94.
  Full Text via DOI: 10.1093/amrx/abq016 Web of Science: 000212920700002
- 2011
  
  Efficient Deterministic Compressed Sensing for Images with Chirps and Reed-Muller Codes. SIAM Journal on Imaging Sciences. 4:931-953.
  Full Text via DOI: 10.1137/100808794 Web of Science: 000295405200007
- 2011
  
  Maximizers for the Strichartz norm for small solutions of mass-critical NLS. Annali della Scuola normale superiore di Pisa - Classe di scienze. 10:427-476.
  Full Text via DOI: 10.2422/2036-2145.2011.2.08 Web of Science: 000294695400008
- 2010
  
  Blow-up criteria for the 3D cubic nonlinear Schrodinger equation. Nonlinearity. 23:977-1030.
  Full Text via DOI: 10.1088/0951-7715/23/4/011 Web of Science: 000275756400012
- 2010
  
  Divergence of Infinite-Variance Nonradial Solutions to the 3D NLS Equation. Communications in Partial Differential Equations. 35:878-905.
  Full Text via DOI: 10.1080/03605301003646713 Web of Science: 000277463200005
- 2010
  
  Threshold solutions for the focusing 3D cubic Schrodinger equation. Revista matemática iberoamericana. 26:1-56.
  Full Text via DOI: 10.4171/RMI/592 Web of Science: 000278145200001
- 2009
  
  Function spaces of variable smoothness and integrability. Journal of Functional Analysis. 256:1731-1768.
  Full Text via DOI: 10.1016/j.jfa.2009.01.017 Web of Science: 000263759200004
- 2008
  
  A sharp condition for scattering of the radial 3D cubic nonlinear Schrodinger equation. Communications in Mathematical Physics. 282:435-467.
  Full Text via DOI: 10.1007/s00220-008-0529-y Web of Science: 000257647600007
- 2008
  
  Traces and extensions of matrix-weighted Besov spaces. Bulletin of the London Mathematical Society. 40:181-192.
  Full Text via DOI: 10.1112/blms/bdm108 Web of Science: 000256154500001
- 2008
  
  Scattering for the non-radial 3D cubic nonlinear Schrödinger equation. Mathematical Research Letters. 15:1233-1250.
  Full Text via DOI: 10.4310/mrl.2008.v15.n6.a13
- 2007
  
  Mass concentration window size and Strichartz norm divergence rate for the L²-critical nonlinear Schrodinger equation. Journal of Hyperbolic Differential Equations. 4:613-627.
  Full Text via DOI: 10.1142/S0219891607001288 Web of Science: 000252047300003
- 2007
  
  On Blow-up Solutions to the 3D Cubic Nonlinear Schrodinger Equation. Applied Mathematics Research eXpress.
  Full Text via DOI: 10.1093/amrx/abm004 Web of Science: 000212915400002
- 2005
  
  Estimates on level set integral operators in dimension two. Journal of Geometric Analysis. 15:405-423.
  Full Text via DOI: 10.1007/BF02930979 Web of Science: 000234753400004
- 2003
  
  Matrix-weighted Besov spaces. Transactions of the American Mathematical Society. 355:273-314.
  Full Text via DOI: 10.1090/S0002-9947-02-03096-9 Web of Science: 000178312900016
- SCATTERING FOR THE NON-RADIAL 3D CUBIC NONLINEAR SCHRODINGER EQUATION. Mathematical Research Letters. 15:1233-1250.
  Full Text via DOI: 10.4310/MRL.2008.v15.n6.a13 Web of Science: 000262382600030
Book Chapter
- 2019
  
  Instability of Solitons in the 2d Cubic Zakharov-Kuznetsov Equation. 295-371.
  Full Text via DOI: 10.1007/978-1-4939-9806-7_6 Web of Science: 000629743900007
- 2017
  
  Traces and extensions of weighted Sobolev and potential spaces. 217-234.
  Full Text via DOI: 10.1090/conm/693/13940 Web of Science: 000409394200009
- 2010
  
  A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions. 171-178.
  Full Text via DOI: 10.1007/978-0-387-68361-4_12 Web of Science: 000281867800012
- 2006
  
  The role of transactional sex in spreading HIV in Nigeria. 367-389.
  Web of Science: 000243040400021
Conference
- 2019
  
  Instability of solitons-revisited, I: The critical generalized KdV equation. Contemporary Mathematics. 65-88.
  Full Text via DOI: 10.1090/conm/725/14546 Web of Science: 000473306800005
- 2019
  
  Instability of solitons-revisited, II: The supercritical Zakharov-Kuznetsov equation. Contemporary Mathematics. 89-109.
  Full Text via DOI: 10.1090/conm/725/14547 Web of Science: 000473306800006
- 2011
  
  Criteria for Collapse in the Focusing Nonlinear Schrodinger Equation. AIP Conference Proceedings.
  Full Text via DOI: 10.1063/1.3636831 Web of Science: 000302239800176
- 2010
  
  USING REED-MULLER SEQUENCES AS DETERMINISTIC COMPRESSED SENSING MATRICES FOR IMAGE RECONSTRUCTION. 2002 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-IV, PROCEEDINGS. 465-468.
  Full Text via DOI: 10.1109/ICASSP.2010.5495714 Web of Science: 000287096000114
- 2009
  
  Image reconstruction by deterministic compressed sensing with chirp matrices. Proceedings of SPIE - The International Society for Optical Engineering. 74971s-74971s-8.
  Full Text via DOI: 10.1117/12.832649
Other Scholarly Work
- 2012
  
  Special Issue on Mathematical Methods in Medical Imaging Introduction. Journal of Scientific Computing. 493-494.
  Full Text via DOI: 10.1007/s10915-012-9576-9 Web of Science: 000302257300001
- 2009
  
  Global Behavior of Solutions to the Focusing 3d Cubic Nonlinear Schrodinger Equation. AIP Conference Proceedings. 1244-+.
  Web of Science: 000273023600306
Preprint

principal investigator on

S-STEM: JAMS @ FIU (Joint Applied Math and Stats scholarships at FIU) awarded by National Science Foundation 2023 - 2028
Nonlinear Dynamics in Dispersive Partial Differential Equations awarded by National Science Foundation 2025 - 2028
Collaborative Research: Nonlinear dynamics and spectral analysis in dispersive PDE awarded by National Science Foundation 2021 - 2025
REU Site: Applied Mathematics Research Program for Undergraduates at FIU (AMRPU @ FIU) awarded by National Science Foundation 2021 - 2025
Conference "V Workshop on Nonlinear Dispersive Equations" awarded by National Science Foundation 2022 - 2023
REU Site "AMRPU @ FIU" awarded by National Security Agency 2022 - 2023
Nonlinear phenomena in stochastic and deterministic dispersive PDE awarded by National Science Foundation 2019 - 2022
Nonlinear Differential Equations and many particle systems awarded by National Science Foundation 2018 - 2020
CAREER: Nonlinear phenomena in dispersive PDE awarded by National Science Foundation 2019 - 2020

full name

Svetlana Roudenko

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