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Nonlinear stability analysis of whirl flutter in a rotor-nacelle system. [PDF]
Nonlinear Dyn, 2018 Whirl flutter is an aeroelastic instability that affects propellers/rotors and the surrounding airframe structure on which they are mounted. Whirl flutter analysis gets progressively more complicated with the addition of nonlinear effects.
Mair C, Rezgui D, Titurus B.
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All-perfluoropolymer, nonlinear stability-assisted monolithic surface combines topology-specific superwettability with ultradurability [PDF]
The Innovation, 2023 Developing versatile and robust surfaces that mimic the skins of living beings to regulate air/liquid/solid matter is critical for many bioinspired applications.
Wanbo Li +12 more
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Nonlinear Stability at the Eckhaus Boundary [PDF]
SIAM Journal on Mathematical Analysis, 2018 The real Ginzburg-Landau equation possesses a family of spatially periodic equilibria. If the wave number of an equilibrium is strictly below the so called Eckhaus boundary the equilibrium is known to be spectrally and diffusively stable, i.e., stable w.r.t. small spatially localized perturbations.
Guillod, Julien +3 more
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Nonlinear Stability of Asymptotic Suction [PDF]
Transactions of the American Mathematical Society, 1984 The semigroup approach to the Navier-Stokes equation in halfspace is used to prove that the stability of the asymptotic suction velocity profile is determined by the eigenvalues of the classical Orr-Sommerfeld equation. The usual obstacle, namely, that the corresponding linear operator contains 0 0 in the spectrum is removed with the ...
Milan Miklavčič
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Poiseuille Flow with Couple Stresses Effect and No-slip Boundary Conditions [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, the problem of Poiseuille flow with couple stresses effect in a fluid layer using the linear instability and nonlinear stability theories is analyzed.
Akil J. Harfash, Ghazi A. Meften
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Nonlinear stability analysis of transitional flows using quadratic constraints [PDF]
Physical Review Fluids, 2020 The dynamics of transitional flows are governed by an interplay between the non-normal linear dynamics and quadratic nonlinearity in the Navier-Stokes equations. In this work, we propose a framework for nonlinear stability analysis that exploits the fact
Aniketh Kalur +2 more
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Energies, 2022 We prove that the steady states of a class of multidimensional reaction–diffusion systems are asymptotically stable at the intersection of unweighted space and exponentially weighted Sobolev spaces, paying particular attention to a special case, namely ...
Qingxia Li, Xinyao Yang
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Energy Science & Engineering, 2021 This paper investigates the critical stable sectional area (CSSA) of downstream surge tank (DST) of hydropower plant with sloping ceiling tailrace tunnel (SCTT).
Wencheng Guo, Daoyi Zhu
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Nonlinear stability in nonlocal gravity [PDF]
Physical Review D, 2019 We address the stability issue of Ricci-flat and maximally symmetric spacetimes in nonlocal gravity to all perturbative orders in the gravitational perturbation. Assuming a potential at least cubic in curvature tensors but quadratic in the Ricci tensor, our proof consists on a mapping of the stability analysis in nonlocal gravity to the same problem in
Fabio Briscese +3 more
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Vietnam Journal of Mechanics, 2022 A new analytical approach for nonlinear thermal buckling of Functionally Graded Graphene Platelet Reinforced Composite (FG-GPLRC) circular plates and shallow spherical caps using the first-order shear deformation theory (FSDT) is presented in this paper.
Bui Tien Tu +2 more
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