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Jeffrey Kuan

Publications and Preprints

Here are links to my math papers and preprints:

  1. K. T. Crowley, S. K. Choi, J. Kuan, J. A. Austermann, J. A. Beall, R. Datta, S. M. Duff, P. A. Gallardo, M. Hasselfield, S. W. Henderson, S.-P. P. Ho, B. J. Koopman, M. D. Niemack, M. Salatino, S. M. Simon, S. T. Staggs, and E. J. Wollack. Characterization of AlMn TES impedance, noise, and optical efficiency in the first 150 mm multichroic array for Advanced ACTPol, Proc. SPIE 9914 , 991431, 2016.
  2. J. Kuan and S. Canic. Deterministic ill-posedness and probabilistic well-posedness of the viscous nonlinear wave equation describing fluid-structure interaction. Transactions of the American Mathematical Society 374 , 5925-5994, 2021. arXiv
  3. J. Kuan and S. Canic. A stochastically perturbed fluid-structure interaction problem modeled by a stochastic viscous wave equation. Journal of Differential Equations 310 , 45-98, 2022. arXiv
  4. J. Kuan, T. Oh, and S. Canic. Probabilistic global well-posedness for a viscous nonlinear wave equation modeling fluid-structure interaction. Applicable Analysis 101(12), 4349-4373, 2022. arXiv
  5. J. Kuan, S. Čanić, and B. Muha. Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media. Comptes Rendus Mecanique , 351 (S1), 1-30, 2023.
  6. J. Kuan and S. Canic. Well-posedness of solutions to stochastic fluid-structure interaction. Well-posedness of solutions to stochastic fluid-structure interaction. J. Math. Fluid Mech. , 26 (4), 2024. Article
  7. J. Kuan, S. Čanić, and B. Muha. Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling. J. Math. Pures. Appl. , 188 , 345-445, 2024. arXiv
  8. S. Čanić, J. Kuan, B. Muha, and K. Tawri. Deterministic and stochastic fluid-structure interaction , accepted to be published in Advances in Mathematical Fluid Mechanics, Birkhauser/Springer, under revision, 2024, 563 pp.
  9. J. Kuan and K. Tawri. Existence of weak martingale solutions to a stochastic fluid-structure interaction problem with a compressible viscous fluid. Submitted 2024. arXiv
  10. J. Kuan, S. Čanić, and B. Muha. Analysis of a fluid-poroelastic structure interaction problem with nonlinear geometric coupling via a regularized interface method. In preparation.
  11. J. Kuan. Existence of weak martingale solutions to a stochastic kinetic Cucker-Smale model describing multiflock dynamics. In preparation.