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We propose a Landauer-like theory for nonlinear transport in networks ofone-dimensional interacting quantum wires (Luttinger liquids). A concreteexample of current experimental focus is given by carbon nanotube Y junctions.Our theory has three basic ingredients that allow to explicitly solve thistransport problem: (i) radiative boundary conditions to describe the couplingto external leads, (ii) the Kirchhoff node rule describing charge conservation,and (iii) density matching conditions at every node.Comment: final version, to be published in PR

Landauer-Type Transport Theory for Interacting Quantum Wires: Application to Carbon Nanotube Y Junctions