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Found 62 Documents (Results 1–62)

Continuous Data Assimilation for the 3D and Higher-Dimensional Navier–Stokes equations with Higher-Order Fractional Diffusion. arXiv:2307.00096

Preprint, arXiv:2307.00096 [math.AP] (2023).
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Global well-posedness of a three-dimensional Brinkman-Forchheimer-Bénard convection model in porous media. arXiv:2204.03531

Preprint, arXiv:2204.03531 [math.AP] (2022).
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A data assimilation algorithm: the paradigm of the 3D Leray-\(\alpha\) model of turbulence. (English) Zbl 1436.35274

Ben Ayed, Mohamed (ed.) et al., Partial differential equations arising from physics and geometry. A volume in memory of Abbas Bahri. Based on the conference, Hammamet, Tunisia, March 20–29, 2015. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 450, 253-273 (2019).
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The uniqueness of Lagrangian trajectories in Navier-Stokes flows. (English) Zbl 1181.35169

Robinson, James C. (ed.) et al., Partial differential equations and fluid mechanics. Result of a workshop, Warwick, UK, May 21–23, 2007. Cambridge: Cambridge University Press (ISBN 978-0-521-12512-3/pbk). London Mathematical Society Lecture Note Series 364, 54-63 (2009).
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On reducing the 2D Navier-Stokes equations to a system of delayed ODEs. (English) Zbl 1095.35030

Chipot, Michel (ed.) et al., Nonlinear elliptic and parabolic problems. A special tribute to the work of Herbert Amann, Zürich, Switzerland, June 28–30, 2004. Basel: Birkhäuser (ISBN 3-7643-7266-4/hbk). Progress in Nonlinear Differential Equations and their Applications 64, 403-411 (2005).
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On the stability of periodic solutions of the Navier-Stokes system in a three-dimensional exterior domain. (English. Russian original) Zbl 1067.35066

Izv. Math. 67, No. 4, 781-795 (2003); translation from Izv. Ross. Akad. Nauk Ser. Mat. 67, No. 4, 155-170 (2003).
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Reduction of a singular equation of Navier-Stokes type to a regular Hopf bifurcation problem. (English) Zbl 0987.35126

Concus, Paul (ed.) et al., Advances in geometric analysis and continuum mechanics. Proceedings of a conference, held at Stanford University, Stanford, CA, USA, August 2-5, 1993 in honor of the seventieth birthday of Robert Finn. Cambridge, MA: International Press. 149-159 (1995).
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Low-dimensional behaviour in the rotating driven cavity problem. (English) Zbl 0900.35288

Christiansen, P. L. (ed.) et al., Future directions of nonlinear dynamics in physical and biological systems. Proceedings of a NATO Advanced Study Institute in honour of Alwyn Scott’s 60th birthday, Lyngby, Denmark, July 23–August 1, 1992. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 312, 45-49 (1993).
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