anisotropic coarsening 1bifurcation theory 1boundary-driven dynamics 1conserved dynamics 1elliptic equations 1model b 1nonlocal operators 1phase separation 1spectral analysis 1torus geometry 1
From the 2 of 10 linked papers with an AI index.
Showing math.APShow all
3 papers · 1 filter
math.AP2026
Lack of uniqueness for an elliptic equation with nonlinear and nonlocal drift posed on a torus
Adrian Muntean, Giulia Rui
The paper investigates a nonlinear, nonlocal elliptic equation on the flat torus and demonstrates that, beyond the constant solutions, uniqueness fails by proving bifurcating branc…
math.AP2025
Thermo-Elasticity Problems with Evolving Microstructures
Michael Eden, Adrian Muntean
We consider the mathematical analysis and homogenization of a moving boundary problem posed for a highly heterogeneous, periodically perforated domain. More specifically, we are lo…
math.AP2025
Invariance properties of the solution operator for measure-valued semilinear transport equations
Sander C. Hille, Rainey Lyons, Adrian Muntean
We provide conditions under which we prove for measure-valued transport equations with non-linear reaction term in the space of finite signed Radon measures, that positivity is pre…