Casey Rodriguez

I am an NSF postdoctoral fellow and CLE Moore Instructor at MIT.
My sponsoring scientist is Gigliola Staffilani. I earned my PhD
from the University of Chicago, and my adviser was Carlos Kenig.
My research interests are primarily in the study of
partial differential equations and continuum mechanics.

• Curriculum vitae

Contact Information

Publications

1. Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings
   Mathematics and Mechanics of Solids, to appear.


2. On stretch-limited elastic strings
   Proc. R. Soc. Lond. A (2021), 477: 20210181, 15 pp.


3. Local well-posedness in Sobolev spaces for first-order conformal causal relativistic
   viscous hydrodynamics (with F. Bemfica, M. Disconzi, Y. Shao)
   Communications on Pure and Applied Analysis (2021), 2021069, 12 pp.


4. Dynamics of bubbling wave maps with prescribed radiation (with J. Jendrej, A. Lawrie)
   Ann. Sci. de l'ENS., to appear.


5. Threshold dynamics for corotational wave maps
   Analysis and PDE, to appear.


6. Conditional stable soliton resolution for a semi-linear Skyrme equation (with A. Lawrie)
   Ann. PDE (2019), no. 2, Paper No. 15, 59 pp.


7. Soliton resolution for equivariant wave maps on a wormhole
   Comm. Math. Phys. 359 (2018), no. 1, 375-426.


8. Soliton resolution for corotational wave maps on a wormhole
   Int. Math. Res. Not. IMRN, (15): 4603-4706, 2019.


9. Scattering for radial energy-subcritical wave equations in dimensions 4 and 5
   Comm. Partial Differential Equations, 42 (2017), 852-894.


10. Profiles for the radial focusing energy-critical wave equation in odd dimensions
    Adv. Differential Equ., 21 (2016), 505-570.


11. A partial data result for less regular conductivities in admissible geometries
    Inverse Probl. Imag., 10 (2016), 247-262.

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