Highlights

ICERM is not only interested in individual successes, but also whether those successes can be attributed to or were influenced by participation in this program. Using unique identification numbers and data analyses, the institute administers 2 and 5-year follow-up surveys to measure the far-reaching impact of ICERM’s programs.

For this program, the 2-year-follow-up survey, which had a 61% response rate, shows that approximately 49% of the papers respondents have published since their involvement in ICERM can be attributed in some way to participation in the program. Additionally, approximately 68% of survey respondents can attribute a work in progress to their involvement in ICERM, demonstrating ICERM's long-term impact on participant research progress. Out of the 37 participants who completed this survey, thirty-three of them were currently collaborating with fellow ICERM participants on works in progress.

Approximately 41% of respondents had submitted proposals for funding based on work that was influenced by their participation in ICERM. Of the 15 proposals that were submitted by participants, 11 have been accepted for funding. Additionally, approximately 38% were invited to give a talk by someone they met while at ICERM and 60% gave a talk that was influenced in some way by their participation in the program.

Image courtesy of Dr. Véronique Sarano. All further use is prohibited without the express permission of Dr. Sarano.
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Details & Statistics

Work in progress attributed to ICERM involvement

ICERM asked participants to indicate if they had works in progress that could be attributed to their involvement in an ICERM semester program that they attended approximately two years prior to taking the survey. Follow-up survey respondents (25) indicated that they currently have works in progress that could be attributed to their time at ICERM. These numbers indicate that information obtained from participating in ICERM's semester programs is still being used in participant research today, which highlights ICERM's long-term impact.

Proposals submitted and funded

ICERM participants were asked in a two-year follow-up survey to indicate if they had submitted proposals for funding based on their work influenced by participation in a semester program. Of the 25 survey respondents, 15 submitted proposals in this two-year period, and 11 were accepted.

Continued Connections

Below are details showing the type of connections made and if connections were maintained in the years prior to the two-year follow-up survey. Continued Connections from Semester Program

Publications

Self-Reported Publications

Note: When clicking on publication links, you will be taken to external sites maintained by the publisher. Some full-text articles may not yet be available without a charge.

  1. Alexey Cheskidov, Milton Lopes Filho, Helena Nussenzveig Lopes, and Roman Shvydkoy. "Energy conservation in two-dimensional incompressible ideal fluids," Communications in Mathematical Physics, Volume 348, Issue 1, pp 129–143, November 2016. 10.1007/s00220-016-2730-8
  2. Denis A. Silantyev, Pavel M. Lushnikov, and Harvey A. Rose. "Langmuir wave filamentation in the kinetic regime. II. Weak and strong pumping of nonlinear electron plasma waves as the route to filamentation," Physics of Plasmas, Volume 24, Issue 4, February 2017. https://doi.org/10.1063/1.4979290
  3. Emmanuel Grenier, Toan T. Nguyen. "Sharp bounds on linear semigroup of Navier Stokes with boundary layer norms," March 2017. https://arxiv.org/abs/1703.00881
  4. André Nachbin, Paul Milewski, John W M Bush. "Tunneling with a hydrodynamic pilot-wave model," Phys. Rev. Fluids 2, 034801, March 2017. https://doi.org/10.1103/PhysRevFluids.2.034801
  5. Denis A. Silantyev, Pavel M. Lushnikov, and Harvey A. Rose. "Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations," Physics of Plasmas, Volume 24, Issue 4, March 2017. https://doi.org/10.1063/1.4979289
  6. Julien Guillod, Vladimír Šverák. "Numerical investigations of non-uniqueness for the Navier-Stokes initial value problem in borderline spaces," April 2017. https://arxiv.org/abs/1704.00560
  7. Emmanuel Grenier and Toan T. Nguyen. "Green function for linearized Navier-Stokes around a boundary layer profile: near-critical layers," May 2017. https://arxiv.org/abs/1705.05323
  8. Qing Li, Baylor Fox-Kemper, Øyvind Breivik, Adrean Webb. "Statistical models of global Langmuir mixing," Ocean Modelling, Volume 113, Pages 95-114. May 2017. https://doi.org/10.1016/j.ocemod.2017.03.016
  9. Emmanuel Grenier, Toan T. Nguyen. "On nonlinear instability of Prandtl's boundary layers: the case of Rayleigh's stable shear flows," June 2017. https://arxiv.org/abs/1706.01282
  10. Pavel M. Lushnikov, Sergey A. Dyachenko and Denis A. Silantyev. "New conformal mapping for adaptive resolving of the complex singularities of Stokes wave," Royal Society, Volume 473, June 2017. https://doi.org/10.1098/rspa.2017.0198
  11. Bernard Deconinck,Qi Guo, Eli Shlizerman and Vishal Vasan. "Fokas’s Unified Transform Method for linear systems," Quarterly of Applied Mathematics, Quart. Appl. Math. 76 (2018), 463-488, September 2017. http://dx.doi.org/10.1090/qam/1484
  12. Walter A. Strauss and Yilun Wu. "Steady states of rotating stars and galaxies," SIAM Journal on Mathematical Analysis, Volume 49, Issue 6, September 2017. http://dx.doi.org/10.1090/qam/1484https://doi.org/10.1137/17M1119391
  13. Bernard Deconinck, Jeremy Upsal. "On the nonintegrability of equations for long- and short-wave interactions," October 2017. https://arxiv.org/abs/1710.09427
  14. E. S. Papaefthymiou and D. T. Papageorgiou. "Nonlinear stability in three-layer channel flows," Cambridge University Press, Volume 829, October 2017. https://doi.org/10.1017/jfm.2017.605
  15. André Nachbin and R. Ribeiro-Junior. "Capturing the flow beneath water waves," Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences, 376(2111):20170098, December 2017. https://doi.org/10.1098/rsta.2017.0098
  16. Didier Clamond. "Remarks on Bernoulli constants, gauge conditions and phase velocities in the context of water waves," Applied Mathematics Letters, Volume 74, Pages 114-120. December 2017. https://doi.org/10.1016/j.aml.2017.05.018
  17. Qing Nan Li and Baylor Fox-Kemper. "Assessing the Effects of Langmuir Turbulence on the Entrainment Buoyancy Flux in the Ocean Surface Boundary Layer," Journal of Physical Oceanography, Volume 47 No. 12, December 2017. https://doi.org/10.1175/JPO-D-17-0085.1
  18. Vishal Vasan, Katie Oliveras, Diane Marie Henderson, Bernard Deconinck. "A method to recover water-wave profiles from pressure measurements," Wave Motion, Volume 75, Pages 25-35, December 2017. https://doi.org/10.1016/j.wavemoti.2017.08.003
  19. Roberto Ribeiro, Paul A. Milewski, and André Nachbin. "Flow structure beneath rotational water waves with stagnation points," Cambridge University Press, Volume 812, February 2017. https://doi.org/10.1017/jfm.2016.820
  20. Prasun K. Ray, Jordan C. Hauge, Demetrios T. Papageorgiou. "Nonlinear interfacial instability in two-fluid viscoelastic Couette flow," Journal of Non-newtonian Fluid Mechanics, Volume 251, Pages 17-27, January 2018. https://dx.doi.org/10.1016/j.jnnfm.2017.11.004
  21. David M. Ambrose and Anna L. Mazzucato. "Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation," Journal of Dynamics and Differential Equations, pp 1–23, March 2018. https://doi.org/10.1007/s10884-018-9656-0
  22. Seung Wook So, Walter A.Strauss. "Upper bound on the slope of steady water waves with small adverse vorticity," Journal of Differential Equations, Volume 264, Issue 6, Pages 4136-4151, March 2018. https://doi.org/10.1016/j.jde.2017.12.007
  23. R. J. Tomlin, A. Kalogirou and D. T. Papageorgiou. "Nonlinear dynamics of a dispersive anisotropic Kuramoto-Sivashinsky equation in two space dimensions," Royal Society, Volume 474, March 2018. https://doi.org/10.1098/rspa.2017.0687
  24. Robin Ming Chen. Samuel Walsh and Miles H.Wheeler. "Existence and qualitative theory for stratified solitary water waves," Annales de l'Institut Henri Poincaré C, Analyse non linéaire ,Volume 35, Issue 2, Pages 517-576, March–April 2018. https://doi.org/10.1016/j.anihpc.2017.06.003
  25. Claude Bardos and Edriss S. Titi. "Onsager's Conjecture for the Incompressible Euler Equations in Bounded Domains," Archive for Rational Mechanics and Analysis, Volume 228, pp 197–207, April 2018. https://doi.org/10.1007/s00205-017-1189-x
  26. Emmanuel Grenier, Toan T. Nguyen, Frédéric Rousset, and Avy Soffer. "Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method," April 2018. https://arxiv.org/abs/1804.08291
  27. Ian Tice. "Asymptotic stability of shear-flow solutions to incompressible viscous free boundary problems with and without surface tension," Zeitschrift für angewandte Mathematik und Physik, 69:28, April 2018. https://doi.org/10.1007/s00033-018-0926-9
  28. Xuecheng Wang. "Propagation of regularity and long time behavior of the 3D massive relativistic transport equation II: Vlasov-Maxwell system," April 2018. https://arxiv.org/abs/1804.06566
  29. Pavel M. Lushnikov and Nikolay M. Zubarev. "Exact solutions for nonlinear development of Kelvin-Helmholtz instability for counterflow of superfluid and normal components of Helium II," Phys. Rev. Lett. 120, 204504, May 2018. https://arxiv.org/abs/1710.10684
  30. Yue Pu, Robert Pego, Denys Dutykh, Didier Clamond. "Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations," May 2018. https://arxiv.org/abs/1805.06842
  31. Xuecheng Wang. "Decay estimates for the 3D relativistic and non-relativistic Vlasov-Poisson systems," May 2018. https://arxiv.org/abs/1805.10837
  32. Logan G. Wright, Zachary M. Ziegler, Pavel M. Lushnikov, Zimu Zhu, M. Amin Eftekhar, Demetrios N. Christodoulides, Frank W. Wise. "Multimode Nonlinear Fiber Optics: Massively Parallel Numerical Solver, Tutorial and Outlook," IEEE, Volume: 24, Issue 3, May/June 2018, 10.1109/JSTQE.2017.2779749. https://arxiv.org/abs/1708.05324
  33. David Andrade and André Nachbin. "A three-dimensional Dirichlet-to-Neumann operator for water waves over topography," Cambridge University Press, Volume 845, pp. 321-345, June 2018. https://doi.org/10.1017/jfm.2018.241
  34. Tao Gao, Jean-Marc Vanden-Broeck, and Zhan Wang. "Numerical computations of two-dimensional flexural-gravity solitary waves on water of arbitrary depth," IIMA Journal of Applied Mathematics, Volume 83, Issue 3, Pages 436–450, June 2018. https://doi.org/10.1093/imamat/hxy007
  35. Julien Guillod and Peter Wittwer. "Existence and uniqueness of steady weak solutions to the Navier-Stokes equations in R2," Proc. Amer. Math. Soc. 146 (2018), 4429-4445, June 2018. https://doi.org/10.1090/proc/14087
  36. Antoine Remond-Tiedrez, Ian Tice. "The viscous surface wave problem with generalized surface energies," June 2018. https://arxiv.org/abs/1806.07660
  37. David Andrade and André Nachbin. "Two-dimensional surface wave propagation over arbitrary ridge-like topographies," SIAM Journal on Applied Mathematics, Volume 78, Issue 5, July 2018. https://doi.org/10.1137/18M1172302
  38. Julien Guillod, Guido Schneider, Peter Wittwer, Dominik Zimmermann. "Nonlinear stability at the Eckhaus boundary," SIAM J. Math. Anal., 50(5), 4699–4720, July 2018. https://doi.org/10.1137/18M1174751
  39. Quansen Jiu, Milton C.Lopes Filho, Dongjuan Niu, Helena J.Nussenzveig Lopes. "The limit of vanishing viscosity for the incompressible 3D Navier-Stokes equations with helical symmetry," Physica D: Nonlinear Phenomena, Volumes 376–377, Pages 238-246, August 2018. https://doi.org/10.1016/j.physd.2018.01.013
  40. Jeffrey Knowles and Harry Yeh. "On shoaling of solitary waves," Cambridge University Press, Volume 848, pp. 1073-1097, August 2018, https://doi.org/10.1017/jfm.2018.395
  41. Olga Trichtchenko, Emilian I. Părău, Jean-Marc Vanden-Broeck and Paul Milewski. "Solitary flexural-gravity waves in three dimensions," Royal Society, Volume 376, August 2018. https://doi.org/10.1098/rsta.2017.0345
  42. John D. Carter, Diane Henderson, and Isabelle Butterfield. "A comparison of frequency downshift models of wave trains on deep water," Physics of Fluids, Volume 31, Issue 1, 10.1063/1.5063016, September 2018. https://arxiv.org/abs/1809.09536
  43. Alexander I. Dyachenko, Sergey Alexandrovich Dyachenko, Pavel M Lushnikov and Vladimir Evgenʹevich Zakharov. "Dynamics of Poles in 2D Hydrodynamics with Free Surface: New Constants of Motion," September 2018. https://arxiv.org/abs/1809.09584
  44. Emmanuel Grenier, Toan T. Nguyen. "Sublayer of Prandtl boundary layers," Archive for Rational Mechanics and Analysis, Volume 229, Issue 3, pp 1139–1151, September 2018. https://doi.org/10.1007/s00205-018-1235-3
  45. André Nachbin. "Walking droplets correlated at a distance," Chaos, Volume 28, September 2018. https://doi.org/10.1063/1.5050805
  46. Olga Trichtchenko, Bernard Deconinck, and Richard Kollár. "Stability of periodic traveling wave solutions to the Kawahara equation," SIAM J. Appl. Dyn. Syst., 17(4), 2761–2783., October 2018. https://doi.org/10.1137/18M1196121
  47. Olga Trichtchenko, Paul Milewski, Emilian Părău and Jean‐Marc Vanden‐Broeck. "Stability of Periodic Travelling Flexural-Gravity Waves in Two Dimensions," Studies in Applied Mathematics, Volume 142, October 2018. https://doi.org/10.1111/sapm.12233
  48. John D. Carter. "Bidirectional Whitham equations as models of waves on shallow water," Wave Motion, Volume 82, Pages 51-61, November 2018. https://doi.org/10.1016/j.wavemoti.2018.07.004
  49. P. M. Lushnikov, N. Vladimirova. "Toward defeating diffraction and randomness for laser beam propagation in turbulent atmosphere," JETP Letters, Volume 108, Issue 9, pp 571–576, November 2018. https://doi.org/10.1134/S0021364018210026
  50. Kristoffer Varholm, Erik Wahlén, Samuel Walsh. "On the stability of solitary water waves with a point vortex," November 2018. https://arxiv.org/abs/1811.08024
  51. David Ambrose, Milton Lopes Filho and Helena Lopes. "Confinement of vorticity for the 2D Euler-alpha equations," Journal of Differential Equations, Volume 265, Issue 11, December 2018. https://doi.org/10.1016/j.jde.2018.05.021
  52. Gung-Min Gie, James P. Kelliher, and Anna L. Mazzucato. "Boundary layers for the Navier-Stokes equations linearized around a stationary Euler flow," Journal of Mathematical Fluid Mechanics, Volume 20, Issue 4, pp 1405–1426, December 2018. https://doi.org/10.1007/s00021-018-0371-8
  53. Robin Ming Chen, Cheng Yu. "Onsager's energy conservation for inhomogeneous Euler equations," Journal de Mathématiques Pures et Appliquées, February 2019. https://doi.org/10.1016/j.matpur.2019.02.003
  54. Alexei A. Mailybaev and André Nachbin. "Explosive ripple instability due to incipient wave breaking," Cambridge University Press, Volume 863, March 2019. https://doi.org/10.1017/jfm.2018.1016
  55. Animikh Biswas, Ciprian Foias, Cecilia F.Mondaini, and Edriss S.Titi. "Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations," Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 36, Issue 2, Pages 295-326, March–April 2019. https://doi.org/10.1016/j.anihpc.2018.05.004
  56. R.M Chen., S. Walsh, and M.H. Wheeler. "Existence, nonexistence, and asymptotics of deep water solitary waves with localized vorticity," Archive for Rational Mechanics and Analysis, pp 1–39, May 2019. https://doi.org/10.1007/s00205-019-01399-0
  57. Saad Qadeer and Jon Wilkening. "Computing the Dirichlet-Neumann Operator on a Cylinder," SIAM Journal on Numerical Analysis, Volume 57, Issue 3, May 2019. https://doi.org/10.1137/18M1204796
  58. Ian Tice and Samuel Zbarsky. "Decay of solutions to the linearized free surface Navier-Stokes equations with fractional boundary operators," June 2018. https://arxiv.org/abs/1806.04056
  59. Toan T. Nguyen and Trinh T. Nguyen. "The inviscid limit of Navier-Stokes for analytic data on the half-space," Archive for Rational Mechanics and Analysis, Volume 230, Issue 3, pp 1103–1129, December 2018. https://doi.org/10.1007/s00205-018-1266-9
  60. Bernard Deconinck, Jeremy Upsal. "The orbital stability of elliptic solutions of the Focusing Nonlinear Schrodinger Equation," January 2019. https://arxiv.org/abs/1901.08702
  61. Marcelo V. Flamarion Paul A. Milewski André Nachbin. "Rotational waves generated by current-topography interaction," Studies in Applied Mathematics, Volume 142, January 2019. https://doi.org/10.1111/sapm.12253
  62. Claude Bardos, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda, Edriss S. Titi, Emil Wiedemann. "Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws," February 2019. https://arxiv.org/abs/1902.07120
  63. Adelaide Akers, Samuel Walsh. "Solitary water waves with discontinuous vorticity," Journal de Mathématiques Pures et Appliquées, Volume 124, Pages 220-272, April 2019. https://doi.org/10.1016/j.matpur.2018.06.008
  64. Peter Constantin, Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Vlad Vicol. "Vorticity measures and the inviscid limit," Arch Rational Mech Anal, May 2019. https://doi.org/10.1007/s00205-019-01398-1
  65. A. I. Dyachenko, P. M. Lushnikov and V. E. Zakharov. "Non-Canonical Hamiltonian Structure and Poisson Bracket for 2D Hydrodynamics with Free Surface," Cambridge University Press, Volume 869, June 2019, https://doi.org/10.1017/jfm.2019.219
  66. Ian Tice and Lei Wu. "Dynamics and stability of surface waves with bulk-soluble surfactants," Acta Applicandae Mathematicae, Volume 161, Issue 1, pp 35–70, June 2019. https://doi.org/10.1007/s10440-018-0203-0
  67. Claude Bardos, Edriss S. Titi and Emil Wiedemann. "Onsager's Conjecture with Physical Boundaries and an Application to the Vanishing Viscosity Limit," Communications in Mathematical Physics, Volume 370, Issue 1, pp 291–310, August 2019. https://doi.org/10.1007/s00220-019-03493-6
  68. Gung-Min Gie, James P. Kelliher, Milton C.Lopes Filho, Anna L.Mazzucato, Helena J.Nussenzveig Lopes. "The vanishing viscosity limit for some symmetric flows," Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 36, Issue 5, Pages 1237-1280, August 2019. https://doi.org/10.1016/j.anihpc.2018.11.006
  69. Juhi Jang, Walter A.Strauss, Yilun Wu. "Existence of rotating magnetic stars," Physica D: Nonlinear Phenomena, Volume 397, Pages 65-74, October 2019. https://doi.org/10.1016/j.physd.2019.03.005