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
- 
    Electronic Theses & Dissertations
                    
 
- Copyright Status
- In Copyright
- Material Type
- 
    Theses
                    
 
- Authors
- 
    Musselman, Bernard Clark, II
                    
 
- Thesis Advisors
- 
    Schenker, Jeffrey H.
                    
 
- Committee Members
- 
    Promislow, Keith
                    
 Zhou, Zhengfang
 Liu, Di
 Abbas, Casim
 
- Date Published
- 
    2012
                    
 
- Subjects
- 
    Wave equation
                    
 
- Program of Study
- 
    Applied Mathematics
                    
 
- Degree Level
- 
    Doctoral
                    
 
- Language
- 
    English
                    
 
- Pages
- vii, 64 pages
- ISBN
- 
    9781267565297
                    
 1267565292
 
- Permalink
- https://doi.org/doi:10.25335/wvew-1f30