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

DOI: https://dx.doi.org/10.4310/AMSA.2023.v8.n3.a3

Author

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

Abstract

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.

Keywords

H-measures

Full Text (PDF format)

In memory of Roland Glowinski

Received 8 December 2022

Accepted 12 September 2023

Published 14 November 2023