Quantum dot experiments show new aspects of electron correlation physics that are inaccessible in bulk materials. One example is the transport through Kondo dots for large voltage bias, i.e. beyond the linear response regime. The competition between strong-coupling Kondo physics and decoherence induced by the nonequilibrium current determines the behavior in this regime. Such quantum many-body problems far away from equilibrium are theoretically not well understood and I present an overview of some new results obtained using the flow equation method.