Analysis of discrete reaction-diffusion equations for autocatalysis and continuum diffusion equations for transport
- Iowa State Univ., Ames, IA (United States)
In this thesis, we analyze both the spatiotemporal behavior of: (A) non-linear “reaction” models utilizing (discrete) reaction-diffusion equations; and (B) spatial transport problems on surfaces and in nanopores utilizing the relevant (continuum) diffusion or Fokker-Planck equations. Thus, there are some common themes in these studies, as they all involve partial differential equations or their discrete analogues which incorporate a description of diffusion-type processes. However, there are also some qualitative differences, as shall be discussed below.
- Research Organization:
- Ames Lab., Ames, IA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC02-07CH11358
- OSTI ID:
- 1226552
- Report Number(s):
- IS-T 3105
- Country of Publication:
- United States
- Language:
- English
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