Travelling fronts in cylinders

DOI10.1016/S0294-1449(16)30229-3zbMATH Open0799.35073OpenAlexW90288657MaRDI QIDQ1803493

Louis Nirenberg, Henri Berestycki

Publication date: 29 June 1993

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1992__9_5_497_0

zbMATH Keywords

travelling wave solutionsinfinite cylinder

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Combustion (80A25) Parabolic equations and parabolic systems (35K99)

Cites Work

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• The asymptotic behavior of the solutions of some semilinear elliptic equations in cylindrical domains
• Existence of multidimensional travelling wave solutions of an initial boundary value problem
• Multi-dimensional travelling-wave solutions of a flame propagation model
• Limit theorems for large deviations and reaction-diffusion equations
• Laminar flame theory and the steady, linear burning of a monopropellant
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Stability of travelling fronts in a model for flame propagation. I: Linear analysis
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Multidimensional nonlinear diffusion arising in population genetics
• Convergence to travelling waves for solutions of a class of semilinear parabolic equations
• Wave front propagation in semi-linear differential equations and systems of KPP-type
• Combustion waves with wide reaction zones
• Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
• Traveling Wave Solutions to Combustion Models and Their Singular Limits
• Application of brownian motion to the equation of kolmogorov-petrovskii-piskunov
• Travelling wavefronts of reaction-diffusion equations in cylindrical domains
• On the method of moving planes and the sliding method
• Properties of solutions of ordinary differential equations in banach space

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