7 citations · 14 across the 15 of their papers we have counts for
4 papers · 1 filter
Lack of uniqueness for an elliptic equation with nonlinear and nonlocal drift posed on a torus
Adrian Muntean, Giulia Rui
We study a nonlinear and nonlocal elliptic equation posed on the flat torus. While constant solutions always exist, we show that uniqueness fails in general. Using spectral analysi…
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…
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…
Existence of weak solutions for a pseudo-parabolic system coupling chemical reactions, diffusion and momentum equations
Arthur J. Vromans, A. A. F. van de Ven, Adrian Muntean
We study the weak solvability of a nonlinearly coupled system of parabolic and pseudo-parabolic equations describing the interplay between mechanics, chemical reactions, diffusion…