Applied PDE Group
Nonlinear Partial Differential Equations in Fluid and Solid Mechanics

Overview

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