Ben Duan

Global Existence of Classical Solutions to the Relativistic Quantum Hydrodynamic System with Small Initial Data

We establish global existence, decay, and scattering for sufficiently small, smooth, and localized perturbations of a constant non-vacuum equilibrium of a relativistic quantum hydrodynamic system in three space dimensions. In logarithmic-amplitude and phase variables, the equations form a semilinear system of coupled w...