Publications and Preprints

  1. T. Dang and T. Nguyen Duc. “Resolvent Estimate for Dirac Operator with a Discontinuous Potential.” (in preparation)
  2. G. Bal and T. Dang. Topological Anderson Insulator by Mathematical Homogenization. preprint.
  3. T. Dang, Y. Gorb, and S. Jiménez Bolaños. Explicit Corrector in Homogenization of Monotone Operators and Its Application to Nonlinear Dielectric Elastomer Composites. preprint.
  4. T. Dang, Y. Gorb, and S. Jiménez Bolaños. Homogenization of High-Contrast Dielectric Elastomer Composites. preprint.
  5. T. Dang, Y. Gorb, and S. Jiménez Bolaños. “Homogenization of a Nonlinear Strongly Coupled Model of Magnetorheological Fluids.” SIAM J. Math. Anal. 55.1 (2023), pp. 102–132. issn: 0036-1410.
  6. T. Dang, Y. Gorb, and S. Jiménez Bolaños. “Homogenization of Nondilute Suspension of Viscous Fluid with Magnetic Particles.” SIAM J. Appl. Math. 81.6 (2021), pp. 2547–2568. issn: 0036-1399.
  7. 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.” Research in Mathematics of Materials Science. Ed. by M. I. Español, M. Lewicka, L. Scardia, and A. Schlömerkemper. Cham: Springer International Publishing, 2022, pp. 133–157. isbn: 978-3- 031-04496-0.

Talks and Presentations

  1. Topological Anderson insulator by mathematical homogenization (seminar talk), Analysis and Applied Mathematics Seminar, University of Illinois at Chicago. November 27, 2023
  2. Homogenization of nonlinear deformable dielectrics (invited talk), MAA MathFest 2023, Tampa, Florida. Aug 2—5, 2023
  3. Homogenization of some coupled models arising from mixtures of magnetic particles with a matrix material (invited talk), 2023 Joint Mathematics Meetings, Boston, Massachusetts. January 4—7, 2023
  4. Homogenization of a non-linear strongly coupled model of magnetorheological fluids (poster, online), Trends in Calculus of Variations and PDEs, University of Sussex, United Kingdom and Ghent Analysis & PDE Centre, Ghent University, Belgium. May 10—20, 2022
  5. An invitation to mathematical homogenization, Graduate Student Paper Presentation 2022, University of Houston, USA. April 7, 2022
  6. A tour of periodic homogenization and its applications (colloquium), Colgate University, New York. April 7, 2022
  7. A simplified model for magnetorheological fluid and its corresponding effective system (invited talk), 4th Annual Meeting of the SIAM Texas-Louisiana Section, SIAM Texas-Louisiana Section and the University of Texas Rio Grande Valley, UTRGV, South Padre Island, Texas. November 5—7, 2021
  8. A simplified model for magnetorheological fluid and its corresponding effective system (seminar talk, online), Oberseminar Mathematik in den Naturwissenschaften, Julius - Maximilians - Universität Würzburg, Germany. October 21, 2021
  9. Global gradient estimate and application to homogenization of a magnetic suspension (poster, online), V Workshop on Fluids and PDE, UNICAMP Universidade Estadual de Campinas, Brazil. September 20—October 1, 2021
  10. Global gradient estimate and application to homogenization of a magnetic suspension (poster, online), The 30th Jyväskylä Summer School, University of Jyväskylä, Finland. August 9—20, 2021
  11. Homogenization of non-dilute suspension of a viscous fluid with magnetic particles (special session: Diverse Aspects of Elliptic PDEs and Related Problems, online), Mathematical Congress of the Americas 2021, Universidad de Buenos Aires and Universidad de Buenos AiresConicet, Argentina. July 12—23, 2021
  12. Homogenization of non-dilute suspension of a viscous fluid with magnetic particles (minisymposium: Mathematical modeling and analysis of problems in materials science and fluid dynamics, online), SIAM Conference on Mathematical Aspects of Materials Science, Basque Center for Applied Mathematics, Bilbao, Spain. May 17—28, 2021
  13. An effective model for magnetorheological fluids via homogenization (online), Graduate Student Paper Presentation 2021, University of Houston, USA. April 23, 2021
  14. Homogenization of one-way coupled Stokes flow with paramagnetic inclusions (contributed talk, online), Texas Analysis and Mathematical Physics Symposium 2020/21, University of Texas at Austin, USA. April 9—11, 2021