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Abstract: this paper is threefold. We formulate and study the linear stability of the HS pulse as a solution of the cGL equation using a numerical method that is based on a completely di erent idea. The method is tested with the use of several Article submitted to Royal Society Instability of the Hocking-Stewartson pulse 3 analytical properties of the spectrum showing excellent agreement with theoretical predictions. Secondly, we use numerical information to state some hypothesis on the particular... (Update)
Context of citations to this paper: More
...waves, and the numerical computation of the Evans function. Some preliminary results in this direction are reported in Afendikov Bridges [1]. Appendices A Numerics of Hodge duality The vector spaces ) are isomorphic, and the mapping which takes elements of one space to the...
Cited by: More
Numerical Exterior Algebra and the Compound Matrix Method - Allen, Bridges (2000) (Correct)
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BibTeX entry: (Update)
A.L. Afendikov & T.J. Bridges, Instability of the Hocking-Stewartson pulse and its implications for three-dimensional Poiseuille ow, Preprint, University of Surrey. http://citeseer.ist.psu.edu/394295.html More
@misc{ afendikov-instability,
author = "A. Afendikov and T. Bridges",
title = "Instability of the Hocking-Stewartson pulse and its implications for three-dimensional
Poiseuille ow",
text = "A.L. Afendikov & T.J. Bridges, Instability of the Hocking-Stewartson pulse
and its implications for three-dimensional Poiseuille ow, Preprint, University
of Surrey.",
url = "citeseer.ist.psu.edu/394295.html" }
Citations (may not include all citations):27 Hydrodynamic Stability (context) - Drazin, Reid - 1981
13 Stability of traveling waves: dichotomies and eigenvalue con.. - Beyn, Lorenz - 1999
12 Nerve axon equations (context) - Evans - 1975
8 A nonlinear instability theory for a wave system in plane Po.. (context) - Stewartson, Stuart - 1971
7 Hodge duality and the Evans function - Bridges, Derks - 1999
7 the nonlinear response of a marginally unstable plane parall.. (context) - Hocking, Stewartson - 1972
5 Stability criterion for bright solitary waves of the perturb.. - Kapitula - 1998
4 Numerical exterior algebra and the compound matrix method - Allen, Bridges - 2000
3 The Orr-Sommerfeld equation on a manifold - Bridges - 1999
3 Bifurcation of homoclinic orbits to a saddle-focus in revers.. - Afendikov, Mielke - 1999
3 the removal of the singularities from the Riccati method (context) - Davey - 1979
2 Modulation stability of ground states of nonlinear Schrodin.. (context) - Weinstein - 1985
2 a Multi-pulse solution to the Navier-Stokes problem between .. - Afendikov, Mielke
2 Local stability theory of the nerve impulse (context) - Evans, Feroe - 1977
1 Bifurcations of Poiseuille ow between parallel plates: three.. (context) - Afendikov, Mielke - 1995
1 the nonlinear evolution of threedimensional disturbances in .. (context) - Davey, Hocking et al. - 1974
1 Article submitted to Royal Society (context) - to, Afendikov et al. - 1990
1 Stability of travelling pulse to a laser equation (context) - Swinton, Elgin - 1990
1 Nonlocal modulation equations for viscous uid layer problems.. (context) - Afendikov, Mielke
1 Landau equation and its role as a modulation equatiom (context) - Mielke - 1999
1 An initial-value method for eigenvalue problems using compou.. (context) - University, Ng et al. - 1979
1 The compound matrix method for ordinary di erential systems (context) - Ng, Reid - 1985
1 Oscillatory instability of traveling waves for a KdV-Burgers.. (context) - Pego, Smereka et al. - 1993 ACM
Documents on the same site (http://www.maths.surrey.ac.uk/announce/FRONTS/Farchive.htm):
The symplectic Evans matrix, and the instability of solitary.. - Bridges, Derks (Correct)
Numerical Exterior Algebra and the Compound Matrix Method - Allen, Bridges (2000) (Correct)
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