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SIAMADS
2010
13 years 15 days ago
2010
Lubrication equations describe many structuring processes of thin liquid films. We develop and apply a numerical framework suitable for their analysis employing a dynamical systems...
SIAMADS
2010
13 years 15 days ago
2010
Abstract. We derive a simple criterion for transverse instabilities along a general invariant manifold of a multidimensional dynamical system. The criterion requires an appropriate...
SIAMADS
2010
13 years 15 days ago
2010
The concept of weak stability boundary has been successfully used in the design of several fuel efficient space missions. In this paper we give a rigorous definition of the weak st...
SIAMADS
2010
13 years 15 days ago
2010
Abstract. We consider a novel asymptotic limit of model equations proposed to describe the formation of localized states in a vertically vibrated layer of granular material or visc...
SIAMADS
2010
13 years 15 days ago
2010
We present a weakly nonlinear analysis of our recently developed model for the formation of crime patterns. Using a perturbative approach, we find amplitude equations that govern t...