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

**Publications**

- On an elastic strain-limiting special Cosserat rod model

(with K. R. Rajagopal)

**Math. Models Methods Appl. Sci.**, to appear. - Global well-posedness for two dimensional flows of viscoelastic rate-type fluids

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

**J. Math. Fluid Mech.**, vol. 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**, vol. 27, no. 3, Mar. 2022, pp. 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.**2021, 20: 2279-2290. - Dynamics of bubbling wave maps with prescribed radiation (with J. Jendrej, A. Lawrie)

**Ann. Sci. de l’ENS.**, (4) 55 (2022), no. 4, 1135-1198. - Threshold dynamics for corotational wave maps

**Analysis and PDE**, Vol. 14 (2021), No. 7, 2123-2161. - Conditional stable soliton resolution for a semi-linear Skyrme equation (with A. Lawrie)

**Ann. PDE**(2019), no. 2, Paper No. 15, 59 pp. - Soliton resolution for equivariant wave maps on a wormhole

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

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

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

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

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