Inclined convection in a porous Brinkman layer: linear instability and nonlinear stability. [PDF]
Proc Math Phys Eng Sci, 2019 In this article, we deal with thermal convection in an inclined porous layer modelled by the Brinkman Law. Inertial effects are taken into account, and the physically significant rigid boundary conditions are imposed.
Falsaperla P, Giacobbe A, Mulone G.
europepmc +2 more sources
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.
europepmc +2 more sources
Nonlinear Stability of Complex Droop Control in Converter-Based Power Systems [PDF]
IEEE Control Systems Letters, 2022 In this letter, we study the nonlinear stability problem of converter-based power systems, where the converter dynamics are governed by a complex droop control.
Xiuqiang He +3 more
semanticscholar +1 more source
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
semanticscholar +1 more source
Nonlinear Stability for Thermal Convection in a Brinkman Porous Material with Viscous Dissipation
Transport in Porous Media, 2020 We investigate nonlinear stability in a model for thermal convection in a saturated porous material using Brinkman theory, taking into account viscous dissipation effects.
B. Straughan
semanticscholar +1 more source
Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations [PDF]
, 2017 One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. This book
S. Klainerman, J. Szeftel
semanticscholar +1 more source
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 ...
J. Guillod +3 more
semanticscholar +1 more source
The Global Nonlinear Stability of Minkowski Space for Self-gravitating Massive Fields [PDF]
Communications in Mathematical Physics, 2015 The Hyperboloidal Foliation Method (introduced by the authors in 2014) is extended here and applied to the Einstein equations of general relativity. Specifically, we establish the nonlinear stability of Minkowski spacetime for self-gravitating massive ...
P. LeFloch, Yue Ma
semanticscholar +1 more source
Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation
Mathematical Biosciences and Engineering, 2009 For a time-delayed reaction-diffusion equation of age-structuredsingle species population, the linear and nonlinear stability ofthe traveling wavefronts were proved by Gourley [4] andLi-Mei-Wong [8] respectively. The stability results,however, assume the
Ming Mei, Yau Shu Wong
doaj +1 more source
On Global Dynamics of Three Dimensional Magnetohydrodynamics: Nonlinear Stability of Alfvén Waves [PDF]
, 2016 Magnetohydrodynamics (MHD) studies the dynamics of magnetic fields in electrically conducting fluids. In addition to the sound wave and electromagnetic wave behaviors, magneto-fluids also exhibit an interesting phenomenon: They can produce the Alfvén ...
Lingbing He, L. Xu, P. Yu
semanticscholar +1 more source