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• #### Small data scattering for a cubic Dirac equation with Hartree type nonlinearity in $\R^{1+3}$ ﻿

(Journal article; Peer reviewed, 2020)
We prove that the initial value problem for the Dirac equation $(-i\gamma^\mu \partial_\mu + m) \psi= ( \frac{e^{- |x|}}{|x|} \ast ( \overline \psi \psi)) \psi \quad \text{in } \ \mathbb{R}^{1+3}$ is globally well-posed ...
• #### Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type ﻿

(Journal article; Peer reviewed, 2020)
We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive ...