A. Remond-Tiedrez, L. M. Smith, and S. N. Stechmann, Beyond linear decomposition: a nonlinear eigenspace decomposition for a moist atmosphere with clouds, submitted [arxiv]
A. Remond-Tiedrez, L. M. Smith, and S. N. Stechmann, A nonlinear elliptic PDE from atmospheric science: well-posedness and regularity at cloud edge, Journal of Mathematical Fluid Mechanics (2024) [arxiv, journal]
A. Remond-Tiedrez and I. Tice, Anisotropic micropolar fluids subject to a uniform microtorque: the stable case, Analysis & PDE (2024) [arxiv, journal]
A. Remond-Tiedrez and I. Tice, Anisotropic micropolar fluids subject to a uniform microtorque: the unstable case, Communications in Mathematical Physics (2021) [arxiv, journal]
A. Remond-Tiedrez and I. Tice, The viscous surface wave problem with generalized surface energies, SIAM Journal on Mathematical Analysis (2019) [arxiv, journal]
A. Remond-Tiedrez, Nonlinear partial differential equations in fluid dynamics: interfaces, microstructure, and stability [pdf].
The first chapter of this thesis is a self-contained introduction to micropolar fluids, including a derivation of their equations of motion.
Dec. 2023: Arizona State University, PDE Seminar
Oct. 2022: University of Cambridge, PDE Seminar
May 2022: Carnegie Mellon University, Center for Nonlinear Analysis Seminar [recording]
May 2022: Isaac Newton Institute, Junior Isaac Newton Crossover (JINX) Seminar [recording]
Apr. 2022: Twelfth IMACS International Conference on Nonlinear Evolution Equations, Athens (GA)
Mar. 2022: Isaac Newton Institute, programme on the mathematical aspects of turbulence
Nov. 2021: Texas A&M University, Nonlinear PDE Seminar
Oct. 2021: University of Wisconsin-Madison, PDE and Geometric Analysis Seminar
May 2021: Ohio River Analysis Meeting, Lexington
Feb. 2021: University of Wisconsin-Madison, Applied and Computational Mathematics Seminar
Oct. 2020: University of Southern California, Analysis and PDE Seminar
May 2020: Online North East PDE and Analysis Seminar (jointly organized by Brown, Carnegie Mellon, Princeton, and Toronto)
Dec. 2019: SIAM Conference on Analysis of Partial Differential Equations, La Quinta
Jul. 2019: Equadiff, Leiden
Feb. 2019: SIAM Conference on Computational Science and Engineering, Spokane
Apr. 2018: Graduate Student Seminar Mini-Conference, Carnegie Mellon University
May 2017: Summer School on Mathematical Fluids, University of Southern California