LAPSE:2023.35510
Published Article
LAPSE:2023.35510
Stability of the Steady States in Multidimensional Reaction Diffusion Systems Arising in Combustion Theory
May 2, 2023
We prove that the steady states of a class of multidimensional reaction−diffusion systems are asymptotically stable at the intersection of unweighted space and exponentially weighted Sobolev spaces, paying particular attention to a special case, namely, systems of equations that arise in combustion theory. The steady-state solutions considered here are the end states of the planar fronts associated with these systems. The present work can be seen as a complement to the previous results on the stability of multidimensional planar fronts.
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Keywords
exponential weights, nonlinear stability, planar front, steady state
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Suggested Citation
Li Q, Yang X. Stability of the Steady States in Multidimensional Reaction Diffusion Systems Arising in Combustion Theory. (2023). LAPSE:2023.35510
Author Affiliations
Li Q: Department of Mathematics and Computer Science, Fisk University, Nashville, TN 37208, USA
Yang X: Department of Applied Mathematics, Xi’an Jiaotong-Liverpool University, Suzhou 215123, China [ORCID]
Yang X: Department of Applied Mathematics, Xi’an Jiaotong-Liverpool University, Suzhou 215123, China [ORCID]
Journal Name
Energies
Volume
15
Issue
21
First Page
8010
Year
2022
Publication Date
2022-10-28
ISSN
1996-1073
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Original Submission
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PII: en15218010, Publication Type: Journal Article
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LAPSE:2023.35510
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https://doi.org/10.3390/en15218010
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May 2, 2023
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