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On the Non-linear Stability of Flux Reconstruction Schemes
High-order methods Flux reconstruction Nodal discontinuous Galerkin method Spectral difference method Non-linear stability
2015/7/3
The flux reconstruction (FR) approach unifies various high-order schemes, in cluding collocation based nodal discontinuous Galerkin (DG) methods, and all spectral difference methods (at le...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/9/21
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Photogravitational:Oblateness:RTBP:Chermnykh-Like problem
2011/8/18
Abstract: We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analyti...
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
Existence of Equilibrium Points and their Linear Stability in the Generalized Photogravitational Chermnykh-Like Problem with Power-law Profile
2011/10/14
We consider the modified restricted three body problem with power-law density profile of disk, which rotates around the center of mass of the system with perturbed mean motion. Using analytical and nu...
Solitary waves and their linear stability in nonlinear lattices
Solitary waves their linear stability nonlinear lattices Pattern Formation and Solitons
2011/8/2
Abstract: Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schr\"odinger equation with a spatially periodic nonlinear coefficient. An asymptotic theory i...
The linear stability of traveling waves to the compound Kdv-Burgers equation
compound Kdv-Burgers equation inear stability
2010/9/21
Herein the traveling waves of compound Kdv-Burgers are considered,.with the help of an analytic function D(λ), the traveling wave is stable.
Asymptotic linear stability of solitary water waves
Asymptotic linear stability solitary water waves
2010/11/29
We prove an asymptotic stability result for the water wave equations linearized around
small solitary waves. The equations we consider govern irrotational flow of a fluid with constant density bounde...
Double-Diffusive Interleaving. Part I：Linear Stability Analysis
Double-Diffusive Interleaving Linear Stability Analysis
2009/1/16
Quasi-horizontal interleaving between water masses is frequently observed in the frontal regions between different water masses where there are significant compensating isopycnal gradients of temperat...
Linear Stability of Large, Elliptical Warm-Core Rings
Linear Stability Elliptical Warm-Core Rings
2009/1/12
An analytical solution for a confined, elliptical lens of light water is perturbed to test the linear stability of elongated warm-core rings. The asymptotic expression of the solution when the eddy's ...
The stability of inviscid frontally trapped waves along a shelfbreak is examined to determine whether frontal instabilities may contribute to the alongfront variability frequently observed. Three diff...
The instability of zonally and temporally invariant, equatorial, zonal flow is found to be tied directly to the presence of critical layers within the fluid. Insight into the mechanism of instability ...