Diffusion for Markov wave equations
"We consider the long time evolution of solutions to a Schrodinger-type wave equation on a lattice, with a divergence-form, Markov, random generator. We show that solutions to this problem di use. That is, the amplitude converges to the solution of a di usion equation, in the di usive scaling limit. Additionally, we expand upon a similar result due to Kang and Schenker for a Markov- Schrodinger wave equation by computing higher moments of position, also in the di usive scaling limit."--Abstract.
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- In Collections
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Electronic Theses & Dissertations
- Copyright Status
- In Copyright
- Material Type
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Theses
- Authors
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Musselman, Bernard Clark, II
- Thesis Advisors
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Schenker, Jeffrey H.
- Committee Members
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Promislow, Keith
Zhou, Zhengfang
Liu, Di
Abbas, Casim
- Date
- 2012
- Subjects
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Wave equation
- Program of Study
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Applied Mathematics
- Degree Level
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Doctoral
- Language
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English
- Pages
- vii, 64 pages
- ISBN
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9781267565297
1267565292
- Permalink
- https://doi.org/doi:10.25335/M5KJ30