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Rodriguez, Casey

Casey Rodriguez

Assistant Professor
Phillips Hall 307
crodrig@email.unc.edu
Website

Research Interests

Partial differential equations, mathematical physics, continuum mechanics

Professional Background

B.S. Texas A&M University, 2010; M.S. Texas A&M University, 2011; Ph.D. University of Chicago, 2017; CLE Moore Instructor MIT, 2017-2021

Research Synopsis

Much of my work is in theoretical and mathematical aspects of continuum mechanics, concentrating on non-classical models including Cosserat rods and gradient continua. The models I’ve worked on go beyond traditional theories of elastic and viscoelastic Cauchy continua, offering the potential to describe complex phenomena—such as fracture or the combined stretching, bending, and twisting of thin rods—in a clear and geometric manner. Moreover, they pave the way for the creation of new and intriguing partial differential equations.

Representative Publications

On an Elastic Strain-limiting Special Cosserat Rod Model
K. R. Rajagopal and C. Rodriguez,
Math. Models Methods Appl. Sci., 33, 1-30, 2023

Special Cosserat Rods with Rate-Dependent Evolving Natural Configurations
K. R. Rajagopal and C. Rodriguez,
Int. J. Eng. Sci., 191, 103890, 19 pp., 2023

Dynamics of Bubbling Wave Maps with Prescribed Radiation
J. Jendrej, A. Lawrie and C. Rodriguez,
Ann. Sci. de l'ENS., 55, 1135-1198, 2022