Spectral Stability of Shock-fronted Travelling Waves Under Viscous Relaxation

Reaction-nonlinear diffusion partial differential equations can exhibit shock-fronted travelling wave solutions. Prior work by Li et al. (Physica D 423:132916, 2021) has demonstrated the existence of such waves for two classes of regularizations, including viscous relaxation (see Li et al. in Physic...

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Bibliographic Details
Published in:	Journal of nonlinear science Vol. 33; no. 5; p. 82
Main Authors:	Lizarraga, Ian, Marangell, Robert
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2023 Springer Nature B.V
Subjects:	Analysis Classical Mechanics Differential equations Economic Theory/Quantitative Economics/Mathematical Methods Eigenvalues Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Partial differential equations Perturbation theory Regularization Singular perturbation Stability Theoretical Traveling waves Waves Spectral stability 34D15 Shock waves 37C75 35B35 74J40 Geometric singular perturbation theory Reaction-nonlinear diffusion PDEs
ISSN:	0938-8974, 1432-1467
Online Access:	Get full text
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