Interests: Calculus of Variations, Nonlinear Partial Differential Equations, Nonlinear Elasticity, Fluid Dynamics, Spin Glasses


  1. C. R. Doering and I. Tobasco, "On the Optimal Design of Wall-to-Wall Heat Transport," submitted (arxiv)
  2. I. Tobasco, D. Goluskin, and C. R. Doering, "Optimal Bounds and Extremal Trajectories for Time Averages in Nonlinear Dynamical Systems," Phys. Lett. A 382 (2018) 382-386 (doi) (arxiv)
  3. I. Tobasco and C. R. Doering, "Optimal Wall-to-Wall Transport by Incompressible Flows," Phys. Rev. Lett. 118 (2017) 264502 (doi) (arxiv)
  4. A. Jagannath and I. Tobasco, "Bounding the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses," to appear in Proc. Amer. Math. Soc. (arxiv)
  5. I. Tobasco, "Axial Compression of a Thin Elastic Cylinder: Bounds on the Minimum Energy Scaling Law", Comm. Pure Appl. Math. 71 (2018) 304-355 (doi) (arxiv)
  6. A. Jagannath and I. Tobasco, "Low Temperature Asymptotics in Spherical Mean Field Spin Glasses," Comm. Math. Phys. 352 (2017) 979-1017 (doi) (arxiv)
  7. S. Conti, H. Olbermann, and I. Tobasco, "Symmetry Breaking in Indented Elastic Cones," Math. Models Methods Appl. Sci. 27 (2017) 291-321 (doi) (arxiv)
  8. A. Jagannath and I. Tobasco, "Some Properties of the Phase Diagram for Mixed p-Spin Glasses," Probab. Theory Related Fields 167 (2017) 615-672 (doi) (arxiv)
  9. A. Jagannath and I. Tobasco, "A Dynamic Programming Approach to the Parisi Functional," Proc. Amer. Math. Soc. 144 (2016) 3135-3150 (doi) (arxiv)
  10. D. Sanjaya, K. Fidkowski, and I. Tobasco, "Adjoint-accelerated statistical and deterministic inversion of atmospheric contaminant transport," Computers and Fluids 100 (2014) 291-307 (doi)
  11. D. Viswanath and I. Tobasco, "Navier-Stokes solver using Green's functions I: Channel flow and plane Couette flow," J Computational Physics 251 (2013) 414-431 (doi) (arxiv)