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Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Transonic Euler Shocks Global Stability Quasi-One-Dimensional Nozzles Analysis of PDEs
2011/9/22
Abstract: We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzl...
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
Global stability analysis of birhythmicity in a self-sustained oscillator
Global stability birhythmicity self-sustained oscillator
2010/4/1
We analyze global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit cycles variation of the van der Pol oscillatorintroduced to analy...
Further results on global stability criterion of neural networks with continuously distributed delays
Global stability Neural networks LMI
2010/9/14
Based on the recent result given in Park [19], a further result for global asymptotic stability of the equilibrium point for a class of uncertain neural networks with discrete and distributed delays i...