Trevor Leslie

  • Assistant Professor of Applied Mathematics

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Education

Ph.D. in Pure Mathematics, University of Illinois at Chicago

Master of Science in Mathematics, University of Illinois at Chicago 

Bachelor of Science in Mathematics, Indiana University, Bloomington 

Research Interests

Partial Differential Equations, Mathematical Fluid Dynamics and Collective Behavior

Publications

  1. T.M. Leslie and C. Tan. "Finite- and Infinite-Time Cluster Formation for Alignment Dynamics on the Real Line." arXiv:2307.1326
  2. T.M. Leslie and C. Tan. "Sticky Particle Cucker–Smale Dynamics and the Entropic Selection Principle for the 1D Euler-alignment System." Communications in Partial Differential Equations, 48 (2023), no. 5, 753-791. (DOI: 10.1080/03605302.2023.2202720.)
  3. H. Bahouri, T.M. Leslie, and G. Perelman. "Hs Bounds for the Derivative Nonlinear Schrödinger Equation." arXiv:2107.12297 (accepted for publication in Mathematical Research Letters).
  4. D. Lear, T.M. Leslie, R. Shvydkoy, and E. Tadmor. "Geometric Structure of Mass Concentration Sets for Pressureless Euler Alignment Systems.'' Adv. Math. 401 (2022), 108290, 1–30.
  5. T.M. Leslie "On the  Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity." Comptes Rendus Mathématique 348 (2020), no. 4, 421–433.
  6. T.M. Leslie and R. Shvydkoy. "On the Structure of Limiting Flocks in Hydrodynamic Euler Alignment Models." Math. Methods Appl. Sci. 29 (2019), no. 13, 2419–2431.
  7. T.M. Leslie. "Weak and Strong Solutions to the Forced Fractional Euler Alignment System." Nonlinearity 32 (2019), no. 1, 46–87.
  8. T.M. Leslie and R. Shvydkoy. "The Energy Measure for the Euler and Navier-Stokes Equations." Arch. Ration. Mech. Anal. 230 (2018), no. 2, 459–492.
  9. T.M. Leslie and R. Shvydkoy.  "Conditions Implying Energy Equality for Weak Solutions of the Navier-Stokes Equations." SIAM J. Math. Anal. 50 (2018), no. 1, 870–890.
  10. T.M. Leslie and R. Shvydkoy. "The Energy Balance Relation for Weak Solutions of the Density-Dependent Navier-Stokes Equations."  J. Differential Equations 261 (2016), no. 6, 3719–3733.
  11. T.M. Leslie, E. Weisman, R. Khatiwada, and J.C. Long. "Prospects for Electron Spin-Dependent Short-Range Force Experiments with Rare Earth Iron Garnet Test Masses.'' Phys. Rev. D 89 (2014), 114022.