2 papers
math.AP2026
Hamilton-Jacobi-Bellman Equations in Random Geometries: Homogenization on Continuum Percolation Clusters
Rodrigo Bazaes, Alexander Mielke, Chiranjib Mukherjee
We develop a quenched homogenization theory for optimal control problems related to Hamilton--Jacobi--Bellman equations on random geometries arising from continuum percolation. The…
math.AP2024
A model of gravitational differentiation of compressible self-gravitating planets
Alexander Mielke, Tomas Roubicek, Ulisse Stefanelli
We present a dynamic model for inhomogeneous viscoelastic media at finite strains. The model features a Kelvin-Voigt rheology, and includes a self-generated gravitational field in…