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Journal article
Approximation of (some) random FPUT lattices by KdV equations
Physica. D, Nonlinear phenomena [e-journal], v 463, 134154
11 Apr 2024
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Abstract
We consider a Fermi-Pasta–Ulam-Tsingou lattice with randomly varying coefficients. We discover a relatively simple condition which when placed on the nature of the randomness allows us to prove that small amplitude/long wavelength solutions are almost surely rigorously approximated by solutions of Korteweg–de Vries equations for very long times. The key ideas combine energy estimates with homogenization theory and the technical proof requires a novel application of autoregressive processes.
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Details
- Title
- Approximation of (some) random FPUT lattices by KdV equations
- Creators
- J. Douglas Wright (Corresponding Author) - Drexel University, MathematicsJoshua A. McGinnis
- Publication Details
- Physica. D, Nonlinear phenomena [e-journal], v 463, 134154
- Publisher
- Elsevier
- Grants
- DMS- 2006172, U.S. National Science Foundation (United States, Alexandria) - NSF
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001228596800001
- Scopus ID
- 2-s2.0-85189934902
- Other Identifier
- 991021865315704721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas
- Physics, Mathematical
- Physics, Multidisciplinary