Email Address: jballew at andrew.cmu.edu
Office: Wean
Hall 7124
Matrices and Linear Transformations--Spring 2017
Principles of Real Analysis I--Fall 2016
Calculus II for Biologists and Chemists--Spring 2016
Matrices and Linear Transformations--Fall 2015
Published Papers
Bose-Einstein condensation in a hyperbolic model for the Kompaneets equation. With Gautam Iyer and Robert L. Pego. SIAM J. Math. Anal. 48-6 (2016), pp. 3840-3859.
Low Mach number limits to the Navier-Stokes-Smoluchowski system. Hyperbolic Problems: Theory, Numerics, Applications. AIMS Series on Applied Mathematics, Vol. 8 (2014), 301-308.
Viscous and inviscid models in fluid-particle interaction. With Konstantina Trivisa, Communications in Information and Systems. 13 (2013), 45-78.
Weakly dissipative solutions and weak-strong uniqueness for the Navier-Stokes-Smoluchowski system. With Konstantina Trivisa. Nonlinear Analysis: Theory, Methods, & Applications. 91 (2013), 1-19.
Suitable weak solutions and low stratification singular limit for a fluid particle interaction model. With Konstantina Trivisa. Quart. Appl. Math. 70 (2012), 469-494.
Preprints
Bose-Einstein condensation and global dynamics of solutions to a hyperbolic Kompaneets equation. (2016).
SAINT MARY'S COLLEGE OF MARYLAND
B.A. Mathematics, Physics, May 2007.
UNIVERSITY OF MARYLAND, COLLEGE PARK
Ph.D. in Applied Mathematics, May 2014.
Adviser: Dr. Konstantina Trivisa
Nonlinear Partial Differential Equations - Applied Mathematics
Analysis of PDEs
Hyperbolic Conservation Laws
Models of Compressible Fluids
Applications to Fluid Dynamics
Entropy and Relative Entropy—Student PDE Seminar, University of Maryland College Park, Fall 2012
Weak-Strong Uniqueness of the Navier-Stokes-Smoluchowski System—Applied PDE Seminar, University of Maryland College Park, Spring 2013
Local and Global Existence of Solutions for the Compressible Euler-Smoluchowski System—AMSC Student Seminar, University of Maryland College Park, Fall 2013
Relative Entropy and the Navier-Stokes-Smoluchowski System for Compressible Fluids—Center for Nonlinear Analysis Seminar, Carnegie Mellon University, Fall 2014
From a Mesoscopic to a Macroscopic Description of Fluid-Particle Interaction—Center for Nonlinear Analysis Working Group, Carnegie Mellon University, Fall 2016