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|[douglas_etal_2021](./douglas_etal_2021)| bifurcation analysis of an incompressible axisymmetric swirling jet with axisymmetry breaking | Douglas, C. M., Emerson, B. L., & Lieuwen, T. C. (2021). Nonlinear dynamics of fully developed swirling jets. _Journal of Fluid Mechanics_, 924, A14. doi:[10.1017/jfm.2021.615](https://doi.org/10.1017/jfm.2021.615). |
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|[douglas_etal_2022](./douglas_etal_2022)| bifurcation analysis of an incompressible axisymmetric swirling annular jet with coordinate transformation and axisymmetry breaking | Douglas, C. M., Emerson, B. L., & Lieuwen, T. C. (2022). Dynamics and bifurcations of laminar annular swirling and non-swirling jets. _Journal of Fluid Mechanics_, 943, A35. doi:[10.1017/jfm.2022.453](https://doi.org/10.1017/jfm.2022.453). |
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|[douglas_etal_2023](./douglas_etal_2023)| bifurcation analysis of a reacting weakly-compressible axisymmetric jet with axisymmetry breaking | Douglas, C. M., Polifke, W., & Lesshafft, L. (2023). Flash-back, blow-off, and symmetry breaking of premixed conical flames. _Combustion and Flame_, 258(2), 113060. doi:[10.1016/j.combustflame.2023.113060](https://doi.org/10.1016/j.combustflame.2023.113060). |
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|[douglas_jolivet_2026](./douglas_jolivet_2026)| bifurcation analysis of a 3-D Brusselator system, a 3-D plate buckling system, and a 2-D compressible Navier--Stokes system | Douglas, C. M., & Jolivet, P. (2026). ff-bifbox: A scalable, open-source toolbox for bifurcation analysis of nonlinear PDEs. doi:[10.48550/arXiv.2509.18429](https://doi.org/10.48550/arXiv.2509.18429). |
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|[douglas_jolivet_2026](./douglas_jolivet_2026)| bifurcation analysis of a 3-D Brusselator system, a 3-D plate buckling system, and a 2-D compressible Navier--Stokes system | Douglas, C. M., & Jolivet, P. (2026). ff-bifbox: A scalable, open-source toolbox for bifurcation analysis of nonlinear PDEs. _Computer Physics Communications_, (accepted manuscript). doi:[10.48550/arXiv.2509.18429](https://doi.org/10.48550/arXiv.2509.18429). |
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|[fani_etal_2018](./fani_etal_2018)| bifurcation analysis of a compressible 2-D flow over a cylinder with reflective symmetry breaking | Fani, A., Citro, V., Giannetti, F., & Auteri, F. (2018). Computation of the bluff-body sound generation by a self-consistent mean flow formulation. _Physics of Fluids_, 30(3), 036102. doi:[10.1063/1.4997536](https://doi.org/10.1063/1.4997536). |
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|[FK_problem](./FK_problem)| bifurcation analysis of Frank–Kamenetskii thermal runaway (explosion) in a cylinderical vessel | \Zeldovich, I. B., Barenblatt, G. I., Librovich, V. B., & Makhviladze, G. M. _Mathematical theory of combustion and explosions_, 1985. |
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|[garnaud_2012](./garnaud_2012)| resolvent analysis of an incompressible axisymmetric laminar jet | Garnaud, X. (2012). _Modes, transient dynamics and forced response of circular jets_. [Doctoral dissertation, Ecole Polytechnique], HAL ID:[tel-00740133](https://theses.hal.science/tel-00740133). |
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