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

Here is the video from a 2018 Saturday Morning Physics lecture I gave at the University of Michigan on "Wrinkles, Crumples, and Origami: The Physics and Geometry of Thin Elastic Sheets".

Publications:

  1. G. Fantuzzi and I. Tobasco, "Sharpness and Non-Sharpness of Occupation Measure Bounds for Integral Variational Problems" (arxiv)
  2. Y. Zheng, I. Tobasco, P. Celli, and P. Plucinsky, "Modeling Planar Kirigami Metamaterials as Generalized Elastic Continua" (arxiv)
  3. B. Song, G. Fantuzzi, and I. Tobasco, "Bounds on Heat Transfer by Incompressible Flows Between Balanced Sources and Sinks," to appear in Physica D (arxiv)
  4. I. Tobasco, Y. Timounay, D. Todorova, G. C. Leggat, J. D. Paulsen, and E. Katifori, "Exact Solutions for the Wrinkle Patterns of Confined Elastic Shells," Nat. Phys. 18 (2022) 1099-1104 (doi, cover) (arxiv)
  5. Y. Zheng, I. Niloy, P. Celli, I. Tobasco, and P. Plucinsky, "Continuum Field Theory for the Deformations of Planar Kirigami," Phys. Rev. Lett. 128 (2022) 208003 (doi) (arxiv)
  6. I. Tobasco, "Optimal Cooling of an Internally Heated Disc," Philos. Trans. R. Soc. A 380 (2022) 20210040 (doi) (arxiv)
  7. I. Tobasco, "Curvature-Driven Wrinkling of Thin Elastic Shells," Arch. Ration. Mech. Anal. 239 (2021) 1211-1325 (doi) (arxiv)
  8. A. Souza, I. Tobasco, and C. R. Doering, "Wall-to-Wall Optimal Transport in Two Dimensions," J. Fluid Mech. 889 (2020) A34 (doi) (arxiv)
  9. C. R. Doering and I. Tobasco, "On the Optimal Design of Wall-to-Wall Heat Transport," Comm. Pure Appl. Math. 72 (2019) 2385-2448 (doi) (arxiv)
  10. A. Jagannath and I. Tobasco, "Bounds on the Complexity of Replica Symmetry Breaking for Spherical Spin Glasses," Proc. Amer. Math. Soc. 146 (2018) 3127-3142 (doi) (arxiv)
  11. 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)
  12. 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)
  13. I. Tobasco and C. R. Doering, "Optimal Wall-to-Wall Transport by Incompressible Flows," Phys. Rev. Lett. 118 (2017) 264502 (doi) (arxiv)
  14. A. Jagannath and I. Tobasco, "Low Temperature Asymptotics in Spherical Mean Field Spin Glasses," Comm. Math. Phys. 352 (2017) 979-1017 (doi) (arxiv)
  15. S. Conti, H. Olbermann, and I. Tobasco, "Symmetry Breaking in Indented Elastic Cones," Math. Models Methods Appl. Sci. 27 (2017) 291-321 (doi) (arxiv)
  16. 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)
  17. A. Jagannath and I. Tobasco, "A Dynamic Programming Approach to the Parisi Functional," Proc. Amer. Math. Soc. 144 (2016) 3135-3150 (doi) (arxiv)
  18. 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)
  19. 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)