4 papers
A general improbability result for non-collision singularities as subsystems with at most four particles
Manuel Quaschner
Non-collision singularities of the -body problem are initial conditions for which no global solution exists and which, however, do not lead to a collision in the limit; i.e., th…
Blow-Up, Asymptotics, and Improbability of Collision Singularities in the n-Body Problem
Nathan Duignan, Manuel Quaschner
We study finite-time singularities in -body systems with pair potentials that are homogeneous of degree , where , that are not necessarily attractive and with bounded…
Jet-Density of Finite-Gap Solutions for Classes of BKM Systems
Manuel Quaschner, Wijnand Steneker
We show that jets of initial data can be approximated up to arbitrary order by finite-gap solutions for classes of so-called BKM systems of PDEs introduced by Bolsinov--Konyaev--Ma…
Nondeterministic particle systems
Andreas Knauf, Manuel Quaschner
We consider systems of n particles that move with constant velocity between collisions. Their total momentum but not necessarily their kinetic energy is preserved at collisions. As…