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Cardenas, Esteban

Esteban Cardenas

Graduate Research Assistant - Chen
Department of Mathematics


Postal Address
AUSTIN, TX 78712

B.S in Physics (2018) and Mathematics (2019), Pontifica Universidad Católica de Chile.

Research interests.
Mathematical Physics. Analysis of PDEs. Effective Equations.  

1. (2023) Quantum Boltzmann dynamics and bosonized particle-hole interactions in fermion gases (with T. Chen). arXiv:2306.03300 [70 pages]

2. (2022) Derivation of a Boltzmann equation with higher-order collisions from a generalized Kac model (with N. Pavlović and W. Warner). arXiv:2211.02758 [29 pages]. 

3. (2021) Tracer particles coupled to an interacting boson gas. Published in Journal of Functional Analysis. arXiv:2107.05195 [36 pages].

4. (2020) On the asymptotic dynamics of 2-D magnetic quantum systems (with D. Hundertmark, E. Stockmeyer and S. Wugalter). Published in Annales Henri Poincare. https://arxiv.org/abs/2006.00134 [29 pages]. 

5. (2019) Spectral properties of Landau Hamiltonians with non-local potentials (with G. Raikov and I. Tejeda). Published in Asymptotic Analysis. arXiv:1901.04370 [31 pages] 

6. (2018) Domain-wall dynamics for an in-plane magnetized thin film with a large perpendicular hard-axis anisotropy including the Dzyaloshinskii-Moriya interaction (with M.C. Depassier). Published in Physical Review B. arXiv:1807.02032 [14 pages].

Provost’s Graduate Excellence Fellowship