3 papers
math-ph2024
Non-Linear Stability of Spherical Systems in MOND
Joachim Frenkler
We prove the non-linear stability of a large class of spherically symmetric equilibrium solutions of both the collisonless Boltzmann equation and of the Euler equations in MOND. Th…
math.AP2024
A mathematical foundation for QUMOND
Joachim Frenkler
We link the QUMOND theory with the Helmholtz-Weyl decomposition and introduce a new formula for the gradient of the Mondian potential using singular integral operators. This approa…
astro-ph.GA2022
Modelling Spiral Galaxies
Joachim Frenkler
We develop a new technique to equip models of spiral galaxies with self-consistent dynamics that match observations. We apply our technique and construct a model for the Milky Way…