The linear stability of traveling wave solutions for a reacting flow model with source term

Hsiao, Ling; Pan, Ronghua

doi:10.1090/qam/1753396

Authors: Ling Hsiao and Ronghua Pan
Journal: Quart. Appl. Math. 58 (2000), 219-238
MSC: Primary 35L65; Secondary 76N10, 76V05, 80A32
DOI: https://doi.org/10.1090/qam/1753396
MathSciNet review: MR1753396
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Abstract: In this paper, we consider a $3 \times 3$ system for a reacting flow model with a source term in [7]. This model can be considered as a relaxation approximation to $2 \times 2$ systems of conservation laws, which include the well-known $p$-system. From this viewpoint, by introducing the new waves through time-asymptotic expansion and using the ${L^{2}}$ energy method, we establish the global existence and the linear stability of traveling wave solutions.

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