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Applied Analysis

Current research is concerned with the analytical study of physically motivated systems of partial differential equations. So far it has concentrated on several major directions:

  • The Q-tensor theory describing liquid crystals
  • The Smoluchowski-Doi models describing complex non-Newtonian fluids
  • Aspects of classical Newtonian fluids
  • The nonlinear Schroedinger equations with potential, used in various applications, in particular in nonlinear optics.