Spreading speed and profile for nonlinear Stefan problems in high space dimensions
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Publication:2253732
DOI10.1016/j.matpur.2014.07.008zbMath1310.35060OpenAlexW2045275393MaRDI QIDQ2253732
Hiroshi Matsuzawa, Yihong Du, Maolin Zhou
Publication date: 12 February 2015
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matpur.2014.07.008
Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Traveling wave solutions (35C07) Axially symmetric solutions to PDEs (35B07)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Stefan problem for the Fisher-KPP equation
- Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II
- Spherically symmetric solutions of a reaction-diffusion equation
- Spreading and vanishing in nonlinear diffusion problems with free boundaries
- On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov
- The approach of solutions of nonlinear diffusion equations to travelling front solutions
- Multidimensional nonlinear diffusion arising in population genetics
- The behavior of solutions of some non-linear diffusion equations for large time
- Asymptotic behavior of solutions of reaction-diffusion equations with varying drift coefficients
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Spreading speed revisited: analysis of a free boundary model
- A short proof of the logarithmic Bramson correction in Fisher-KPP equations
- Regularity and asymptotic behavior of nonlinear Stefan problems
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
- Convergence of solutions of the Kolmogorov equation to travelling waves
- Location of Wave Fronts for the Multi-Dimensional K-P-P Equation and Brownian First Exit Densities
- Sharp Estimate of the Spreading Speed Determined by Nonlinear Free Boundary Problems
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