ON A PARTIALLY DEGENERATE REACTION-ADVECTION-DIFFUSION SYSTEM WITH FREE BOUNDARY CONDITIONS

A partially degenerate reaction-diffusion system with advection term and free boundary conditions is investigated in this paper. Firstly, we present a spreading-vanishing dichotomy for the asymptotic behavior of solutions of the system. Then, we obtain criteria for spreading and vanishing. Moreover, numerical simulation is given to illustrate the theoretical results.

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Publication Details

Journal
Journal of Applied Analysis & Computation
Published
2025-01-01
DOI
https://doi.org/10.11948/20230391
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

ON A PARTIALLY DEGENERATE REACTION-ADVECTION-DIFFUSION SYSTEM WITH FREE BOUNDARY CONDITIONS

Ying Xu, Dandan Zhu, Xueping Li
Journal of Applied Analysis & Computation
Differential Equations and Numerical Methods
article

ON A PARTIALLY DEGENERATE REACTION-ADVECTION-DIFFUSION SYSTEM WITH FREE BOUNDARY CONDITIONS

Ying Xu, Dandan Zhu, Xueping Li
article en

Abstract

A partially degenerate reaction-diffusion system with advection term and free boundary conditions is investigated in this paper. Firstly, we present a spreading-vanishing dichotomy for the asymptotic behavior of solutions of the system. Then, we obtain criteria for spreading and vanishing. Moreover, numerical simulation is given to illustrate the theoretical results.

Journal of Applied Analysis & ComputationVol. 15(1)
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Differential Equations and Numerical Methods
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ON A PARTIALLY DEGENERATE REACTION-ADVECTION-DIFFUSION SYSTEM WITH FREE BOUNDARY CONDITIONS — Ying Xu, Dandan Zhu, et al. · Journal of Applied Analysis & Computation (2025) | TGRS Research Map | TGRS