A REACTION–DIFFUSION–ADVECTION EQUATION WITH COMBUSTION NONLINEARITY ON THE HALF-LINE

DOI10.1017/S0004972718000370zbMath1401.35183OpenAlexW2810057616MaRDI QIDQ4684268

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Publication date: 27 September 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972718000370

zbMATH Keywords

asymptotic behaviourreaction-diffusion equationinitial boundary value problemcombustion equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15) Positive solutions to PDEs (35B09)

Cites Work

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• Spreading and vanishing in nonlinear diffusion problems with free boundaries
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• Convergence and sharp thresholds for propagation in nonlinear diffusion problems
• Convergence of solutions of one-dimensional semilinear parabolic equations
• Evolution of dispersal in advective homogeneous environment: the effect of boundary conditions
• Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
• A spatial SIS model in advective heterogeneous environments
• Nonlinear Diffusion Problems with Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments
• The zero set of a solution of a parabolic equation.
• The long-time behaviour of solutions to parabolic problems on unbounded intervals: the influence of boundary conditions
• Different asymptotic spreading speeds induced by advection in a diffusion problem with free boundaries
• Sharp transition between extinction and propagation of reaction

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