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

Publications:

  1. I. Tobasco, "The Cost of Crushing: Curvature-Driven Wrinkling of Thin Elastic Shells," in preparation
  2. A. Souza, I. Tobasco, and C. R. Doering, "Wall-to-Wall Optimal Transport: Theory and 2D Computations," in preparation
  3. C. R. Doering and I. Tobasco, "On the Optimal Design of Wall-to-Wall Heat Transport," submitted to Comm. Pure. Appl. Math. (arxiv)
  4. 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)
  5. 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)
  6. 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)
  7. I. Tobasco and C. R. Doering, "Optimal Wall-to-Wall Transport by Incompressible Flows," Phys. Rev. Lett. 118 (2017) 264502 (doi) (arxiv)
  8. A. Jagannath and I. Tobasco, "Low Temperature Asymptotics in Spherical Mean Field Spin Glasses," Comm. Math. Phys. 352 (2017) 979-1017 (doi) (arxiv)
  9. S. Conti, H. Olbermann, and I. Tobasco, "Symmetry Breaking in Indented Elastic Cones," Math. Models Methods Appl. Sci. 27 (2017) 291-321 (doi) (arxiv)
  10. 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)
  11. A. Jagannath and I. Tobasco, "A Dynamic Programming Approach to the Parisi Functional," Proc. Amer. Math. Soc. 144 (2016) 3135-3150 (doi) (arxiv)
  12. 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)
  13. 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)