My research interests lie at the intersection of mathematical analysis and materials science, focusing on asymptotic analysis of partial differential equations describing models of composite materials.

The main theme of my current project concerns the asymptotic behavior of complex fluids. We are studying models describing a particulate flow consisting of a non-dilute suspension of a viscous Newtonian fluid with magnetizable rigid particles.

Publications

  1. T. Dang, Y. Gorb, and S. Jiménez Bolaños. Homogenization of a non-linear strongly coupled model of magnetorheological fluids. Dec. 21, 2021. arXiv: 2112.11550 [math].

  2. T. Dang, Y. Gorb, and S. Jiménez Bolaños. Global gradient estimate for a divergence problem and its application to the homogenization of a magnetic suspension. To appear in the Springer AWM Volume Research in the Mathematics of Materials Science. Dec. 16, 2021. arXiv: 2108.07775 [math].

  3. T. Dang, Y. Gorb, and S. Jiménez Bolaños. Homogenization of non-dilute suspension of viscous fluid with magnetic particles. SIAM Journal on Applied Mathematics. Sept. 21, 2021. DOI: 10.1137/21M1413833. arXiv: 2105.02861 [math].