Annals of Mathematical Sciences and Applications

Volume 8 (2023)

Number 3

Special Issue Dedicated to the Memory of Professor Roland Glowinski

Guest Editors: Annalisa Quaini, Xiaolong Qin, Xuecheng Tai, and Enrique Zuazua

Approximation of H-measures and beyond

Pages: 461 – 497



Luc Tartar (Professor of Mathematics Emeritus, Carnegie Mellon University, Pittsburgh, Pennsylvania, U.S.A.)


This article suggests a few ways for approximating H-measures. Since an important use of H-measures is to show how some conserved quantities hide at mesoscopic levels, not dissipated but transported away, it proposes questions to address for correcting some defects of physical theories.



In memory of Roland Glowinski

Received 8 December 2022

Accepted 12 September 2023

Published 14 November 2023