linear and nonlinear PDE; nonlinear analysis; attractors; infinite dimensional dynamic systems and generalisations.
Field of specialization:
Otto calculus, entropy methods and gradient flow structure in PDEs; spatial population dynamics; the Fokker-Planck equation and the unidirectional transport in Brownian ratchets; mathematical non-Newtonian fluid mechanics: weak solvability and trajectory attractors using topological methods; discrete geometry: lattice polygons.
