Electrohydrodynamic linear stability analysis of dielectric liquids subjected to unipolar injection in a rectangular enclosure with rigid sidewalls [PDF]
Journal of Fluid Mechanics, 2014 We investigate the linear stability threshold of a dielectric liquid subjected to unipolar injection in a 2D rectangular enclosure with rigid boundaries.
Pérez Izquierdo, Alberto Tomás +3 more
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Deeper but smaller: Higher-order interactions increase linear stability but shrink basins. [PDF]
Sci Adv, 2023 A key challenge of nonlinear dynamics and network science is to understand how higher-order interactions influence collective dynamics. Although many studies have approached this question through linear stability analysis, less is known about how higher ...
Zhang Y +4 more
europepmc +2 more sources
Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes [PDF]
Communication on Applied Mathematics and Computation, 2020 Recently, it was discovered that the entropy-conserving/dissipative high-order split-form discontinuous Galerkin discretizations have robustness issues when trying to solve the simple density wave propagation example for the compressible Euler equations.
Hendrik Ranocha, G. Gassner
semanticscholar +1 more source
Linear Stability of Pipe Poiseuille Flow at High Reynolds Number Regime [PDF]
Communications on Pure and Applied Mathematics, 2019 In this paper, we prove the linear stability of the pipe Poiseuille flow for general perturbations at high Reynolds number regime. This has been a long‐standing problem since the experiments of Reynolds in 1883.
Qi Chen, Dongyi Wei, Zhifei Zhang
semanticscholar +1 more source
The Linear Stability of the Schwarzschild Solution to Gravitational Perturbations in the Generalised Wave Gauge [PDF]
Annals of PDE, 2018 We prove in this paper that the Schwarzschild family of black holes are linearly stable as a family of solutions to the system of equations that result from expressing the Einstein vacuum equations in a generalised wave gauge. In particular we improve on
T. Johnson
semanticscholar +1 more source
Linear stability of Schwarzschild spacetime: Decay of metric coefficients [PDF]
Journal of differential geometry, 2017 In this paper, we study the theory of linearized gravity and prove the linear stability of Schwarzschild black holes as solutions of the vacuum Einstein equations.
Pei-Ken Hung, Jordan Keller, Mu-Tao Wang
semanticscholar +1 more source
The linear stability of the Schwarzschild solution to gravitational perturbations [PDF]
Acta Mathematica, 2016 We prove in this paper the linear stability of the celebrated Schwarzschild family of black holes in general relativity: Solutions to the linearisation of the Einstein vacuum equations around a Schwarzschild metric arising from regular initial data ...
Mihalis Dafermos +2 more
semanticscholar +1 more source
Simplified Mathieu’s equation with linear friction [PDF]
INCAS Bulletin, 2016 Consider a second order differential linear periodic equation. The friction coefficient is real positive constant. Some transformation of the solution and its first derivative allow writing two-order differential equations with void friction coefficients.
Nicolae MARCOV
doaj +1 more source
Unstable Convection in a Vertical Double–Layer Porous Slab
Energies, 2023 A convective stability analysis of the flow in a vertical fluid-saturated porous slab made of two layers with different thermophysical properties is presented. The external boundaries are isothermal with one of them impermeable while the other is open to
Stefano Lazzari +3 more
doaj +1 more source
Analysis of a mathematical model for brain lactate kinetics
Mathematical Biosciences and Engineering, 2018 The aim of this article is to study the well-posedness and properties of a fast-slow system which is related with brain lactate kinetics. In particular, we prove the existence and uniqueness of nonnegative solutions and obtain linear stability results ...
Carole Guillevin +3 more
doaj +1 more source