Singularities and Defects in Patterns Far from Threshold

N. M. Ercolani
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N. M. Ercolani: University of Arizona, Department of Mathematics

A chapter in Current and Future Directions in Applied Mathematics, 1997, pp 137-160 from Springer

Abstract: Abstract This is a report on recent work that examines the behaviour of a class of nonlinear partial differential equations which axe considered to provide a good qualitative model of significant aspects of pattern formation and defects in a diverse range of physical systems. This work was done in collaboration with C. Bowman, R. Indik, A. C. Newell at the University of Arizona and with T. Passot at the Observatoire de Nice. The details of the formal and numerical results mentioned in this introduction will appear in [15] and details of the analytical results mentioned in the last section will appear in [9].

Keywords: Boundary Data; Level Curf; Viscosity Limit; Roll Pattern; Multivalued Solution (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2012-1_15

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DOI: 10.1007/978-1-4612-2012-1_15

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