2 papers
math.AP2019
Thermal approximation of the equilibrium measure and obstacle problem
Scott Armstrong, Sylvia Serfaty
We consider the probability measure minimizing a free energy functional equal to the sum of a Coulomb interaction, a confinement potential and an entropy term, which arises in the…
math.AP2011
Energy estimates and cavity interaction for a critical-exponent cavitation model
Duvan Henao, Sylvia Serfaty
We consider the minimization of $\int_{Ω_{\ep}} |D\vec u|^p \dd\vec x$ in a perforated domain $Ω_{\ep}:= Ω\setminus \bigcup_{i=1}^M B_{\ep}(\vec a_i)$ of , among maps $\vec u…