Spreading and vanishing in a free boundary problem for nonlinear diffusion equations with a given forced moving boundary

DOI10.1016/j.jde.2018.03.026zbMath1390.35119OpenAlexW2800369554WikidataQ111164040 ScholiaQ111164040MaRDI QIDQ1746189

Yuki Kaneko, Hiroshi Matsuzawa

Publication date: 24 April 2018

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2018.03.026

zbMATH Keywords

free boundary problemcombustionnonlinear diffusion equationbistablemonostable

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

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Cites Work

• Multiple spreading phenomena for a free boundary problem of a reaction-diffusion equation with a certain class of bistable nonlinearity
• Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions
• Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model
• Spreading and vanishing in nonlinear diffusion problems with free boundaries
• Convergence and sharp thresholds for propagation in nonlinear diffusion problems
• Multidimensional nonlinear diffusion arising in population genetics
• A free boundary problem for the Fisher-KPP equation with a given moving boundary
• Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary
• On a reaction-diffusion equation with Robin and free boundary conditions
• Spreading speed and sharp asymptotic profiles of solutions in free boundary problems for nonlinear advection-diffusion equations
• Asymptotic behavior of solutions of Fisher-KPP equation with free boundary conditions
• Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries
• Spreading in advective environment modeled by a reaction diffusion equation with free boundaries
• Asymptotic Behavior of Solutions to Diffusion Problems with Robin and Free Boundary Conditions
• Nonlinear Diffusion Problems with Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments
• Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
• The zero set of a solution of a parabolic equation.
• Remarks on Spreading and Vanishing for Free Boundary Problems of Some Reaction-Diffusion Equations
• Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
• RANDOM DISPERSAL IN THEORETICAL POPULATIONS
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