Journal article
Approximation of Polyatomic FPU Lattices by KdV Equations
Multiscale modeling & simulation, v 12(3), pp 953-995
01 Jul 2014
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
We consider the evolution of small amplitude, long wavelength initial data by a polyatomic Fermi--Pasta--Ulam lattice differential equation whose material properties vary periodically. Using the methods of homogenization theory, we prove rigorous estimates that show that the solution breaks up into the linear superposition of two appropriately scaled and modulated counter-propagating waves, each of which solves a Korteweg--de Vries equation, plus a small error. The estimates are valid over very long time scales. [PUBLICATION ABSTRACT]
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Details
- Title
- Approximation of Polyatomic FPU Lattices by KdV Equations
- Creators
- Jeremy GaisonShari MoskowJ WrightQimin Zhang
- Publication Details
- Multiscale modeling & simulation, v 12(3), pp 953-995
- Publisher
- Society for Industrial and Applied Mathematics
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000343130500002
- Scopus ID
- 2-s2.0-84907932485
- Other Identifier
- 991019167888504721
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- Web of Science research areas
- Mathematics, Interdisciplinary Applications
- Physics, Mathematical