Browsing Department of Mathematics by Author "Tesfahun, Achenef"
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Illposedness of the Maxwell–Dirac system below charge in space dimension three and lower
Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2021)The Maxwell–Dirac system describes the interaction of an electron with its selfinduced electromagnetic field. In space dimension d=3 the system is chargecritical, that is, L2critical for the spinor with respect to ... 
Small data scattering for a cubic Dirac equation with Hartree type nonlinearity in $\R^{1+3}$
Tesfahun, Achenef (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 wellposed ... 
WellPosedness for a Dispersive System of the WhithamBoussinesq Type
Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular WhithamBoussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in wellposedness at a very low level of regularity. We derive ...