Our group is interested in mathematical modeling, analysis and the development of numerical methods for evolutionary partial differential equations in fluid and solid mechanics.

Subjects of current interest include:

  • ​Relative entropy and the comparison of thermomechanical theories in non-equilibrium thermodynamics.

  • Modeling and analysis of dilute suspensions: Passage from microscopic descriptions to the equations of viscoelasticity at the macroscopic scale

  • Formation of singularities in solid mechanics (cavitation, shear bands)

  • Numerical methods for nonlinear dispersive wave propagation 

  • Propagation of oscillations in hyperbolic and dispersive media, homogenization