Journal article
Periodic solutions to systems of reaction-diffusion equations
Journal of the Franklin Institute, v 301(3)
1976
Abstract
In this paper, necessary and sufficient conditions are derived for the existence of temporally periodic “dissipative structure” solutions in cases of weak diffusion with the reaction rate terms dominant in a generic system of reaction-diffusion equations ∂c
i/∂t = D
i▿
2
c
i+Q
i(
c), where the enumerator index i runs
1 to n, c
i = c
i(
x, t) denotes the concentration or density of the ith participating molecular or biological species, D
i is the diffusivity constant for the ith species and Q
i(
c), an algebraic function of the n-tuple
c = (c
1
,\3., c
n), expresses the local rate of production of the ith species due to chemical reactions or biological interactions.
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Details
- Title
- Periodic solutions to systems of reaction-diffusion equations
- Creators
- Gerald Rosen - Drexel University
- Publication Details
- Journal of the Franklin Institute, v 301(3)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1976BN35500006
- Scopus ID
- 2-s2.0-0016927197
- Other Identifier
- 991019173516204721