My Research Interests:

 

 

  • Asymptotic behavior of nonlinear dynamical systems, theory of attractors.

  • Many particle systems, mean field limit, correlations in many particle systems.

  • Fluid dynamics, coupled ODE/PDE system for fluid/rigid body interactions, no collision paradox; modeling of suspensions, effective viscosity.

  • Sharp interface limits.

  • Evolution PDEs with finite or infinite memory; thermoelasticity, viscoelasticity, nonlocal PDEs, transmission problem, coupled hyperbolic-parabolic systems of PDEs.