This thesis is devoted to nonlinear physics of plasmas investigated with kinetic modeling. The emphasis is on the characterization of waves, instabilities, and anomalous electron transport. The main topic is related to partially magnetized plasmas immersed in crossed ExB fields with magnetized electrons and unmagnetized ions. Such plasmas are abundant in many applications such as Hall thrusters devices for space propulsion and material processing. The nonlinear evolution of the Electron Cyclotron Drift Instability (ECDI) driven by the electron ExB drift in partially magnetized plasmas and anomalous electron transport in two dimensions are studied using particle-in-cell (PIC) simulations. PIC simulations were performed for the parameters ty...