A free boundary problem arising in some reacting–diffusing system
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Publication:3980466
DOI10.1017/S0308210500029139zbMath0752.35093OpenAlexW2327029591MaRDI QIDQ3980466
Masayasu Mimura, Yasumasa Nishiura, Danielle Hilhorst
Publication date: 26 June 1992
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500029139
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Free boundary problems for PDEs (35R35)
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Cites Work
- Unnamed Item
- General free-boundary problems for the heat equation. I
- General free-boundary problems for the heat equation. II
- Layer Oscillations in Reaction-Diffusion Systems
- Well-posedness of a moving boundary problem arising in a dissolution-growth process
- A Geometrical Theory for Spiral Waves in Excitable Media
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
