My research is primarily in the study of partial differential equations and continuum mechanics.

**Publications**

- Special Cosserat rods with rate-dependent evolving natural configurations

(with K. R. Rajagopal)

**Int. J. Eng. Sci.**, to appear. - Elastic solids with strain-gradient elastic boundary surfaces

Preprint, 2023. - On an elastic strain-limiting special Cosserat rod model

(with K. R. Rajagopal)

**Math. Models Methods Appl. Sci.**, 33 (2023), p. 1-30. - Global well-posedness for two dimensional flows of viscoelastic rate-type fluids

with stress diffusion (with M. Bulícek, J. Málek)

**J. Math. Fluid Mech.**, 24 (2022), Paper No. 61, 19 pp. - On evolving natural curvature for an inextensible, unshearable, viscoelastic rod

(with K. R. Rajagopal)

**J. Elast.**, to appear. - Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings

**Math. Mech. Solids**, 27 (2022), p. 474–490. - On stretch-limited elastic strings

**Proc. R. Soc. Lond. A**(2021), 477: 20210181, 15 pp. - Local well-posedness in Sobolev spaces for first-order conformal causal relativistic

viscous hydrodynamics (with F. Bemfica, M. Disconzi, Y. Shao)

**Commun. Pure Appl. Anal.**20 (2021), p. 2279-2290. - Dynamics of bubbling wave maps with prescribed radiation (with J. Jendrej, A. Lawrie)

**Ann. Sci. de l’ENS.**, (4) 55 (2022), p. 1135-1198. - Threshold dynamics for corotational wave maps

**Analysis and PDE**, 14 (2021), 2123-2161. - Conditional stable soliton resolution for a semi-linear Skyrme equation (with A. Lawrie)

**Ann. PDE**(2019), Paper No. 15, 59 pp. - Soliton resolution for equivariant wave maps on a wormhole

**Comm. Math. Phys.**359 (2018), p. 375-426. - Soliton resolution for corotational wave maps on a wormhole

**Int. Math. Res. Not. IMRN**, 15 (2019), p. 4603-4706. - Scattering for radial energy-subcritical wave equations in dimensions 4 and 5

**Comm. Partial Differential Equations**, 42 (2017), p. 852-894. - Profiles for the radial focusing energy-critical wave equation in odd dimensions

**Adv. Differential Equ.**, 21 (2016), p. 505-570. - A partial data result for less regular conductivities in admissible geometries

**Inverse Probl. Imag.**, 10 (2016), p. 247-262.