# James Scott

### PhD Student

### University of Tennessee, Knoxville

Ayres Hall 208

1403 Circle Dr.

Knoxville, TN 37916

Email

## Research Interests

Analysis of Partial Differential Equations, Mathematics of Materials Science, Peridynamics, Hyperbolic Conservation Laws

## Publications and Preprints

- M. Kassmann, T. Mengesha, and J. Scott, "Solvability of Nonlocal Systems Related to Peridynamics."
*Communications on Pure & Applied Analysis*, 18 (2019), pp. 1303-1332. Online Version
- J. Scott and T. Mengesha, "A Potential Space Estimate for Solutions of Systems of Nonlocal Equations in Peridynamics."
*SIAM Journal on Mathematical Analysis*, 51 (2019), pp. 86-109. Online Version
- J. Scott and T. Mengesha, "A Fractional Korn-Type Inequality." Accepted.
*Discrete and Continuous Dynamical Systems*. PDF
- J. Scott, M. P. Laiu, and C. D. Hauck, "Analysis of the Zero Relaxation Limit of Systems of Hyperbolic Conservation Laws with Random Initial Data." Submitted. PDF
- T. Mengesha and J. Scott, "Strong Solvability for a Class of Nonlocal Systems of Equations Related to Peridynamics Using Fourier Analysis." In preparation.
- J. Scott and T. Mengesha, "A Fractional Korn-Type Inequality on Bounded Domains and Applications." In preparation.

## Teaching

Math 141 Canvas Website