Reaction-diffusion equations in homogeneous media: existence, uniqueness and stability of travelling fronts
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Publication:2254957
DOI10.1007/s00032-014-0212-zzbMath1386.35212OpenAlexW2034306366MaRDI QIDQ2254957
Publication date: 6 February 2015
Published in: Milan Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00032-014-0212-z
Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Pattern formations in context of PDEs (35B36)
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Cites Work
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- Multi-dimensional travelling-wave solutions of a flame propagation model
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Stability of travelling fronts in a model for flame propagation. I: Linear analysis
- Stability of travelling fronts in a model for flame propagation. II: Nonlinear stability
- Convergence to travelling waves for solutions of a class of semilinear parabolic equations
- Elliptic partial differential equations of second order
- Travelling fronts in cylinders
- A short course on operator semigroups
- Estimation of pressure fields in combustion of vapour clouds
- Traveling Wave Solutions to Combustion Models and Their Singular Limits
- Existence of Nonplanar Solutions of a Simple Model of Premixed Bunsen Flames
- Front propagation in periodic excitable media
- Stability of travelling waves in a model for conical flames in two space dimensions
- On the method of moving planes and the sliding method
- Analytic semigroups and optimal regularity in parabolic problems
