Lopez-Pamies is interested in the mechanics and physics of heterogeneous
materials with a particular emphasis on soft-matter systems. He
focuses on the development of mathematical theories to describe, explain,
and predict the macroscopic behavior, stability, and failure of these materials
directly in terms of their microscopic behavior. Specific areas of
interest include the mathematical modeling of the mechanical, the electromechanical, and the magnetomechanical
response and failure of unfilled elastomers, filled elastomers, foams, and block copolymers.
Other areas of recent focus include the development of numerical methods for nonlinear (elliptic and hyperbolic) partial differential equations.