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Recent developments in the theory of front propagation and its applications. (English) Zbl 1052.35097

Bourlioux, Anne (ed.) et al., Modern methods in scientific computing and applications. Proceedings of the NATO Advanced Study Institute and Séminaire de Mathématiques Supérieures on modern methods in scientific computing and applications, Montréal, Québec, Canada, July 9–20, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0782-5/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 75, 397-449 (2002).
Author’s abstract: We describe a new theory for studying the geometric motion of interfaces past the first times singularities. We also show how this theory allows one to justify and study the development of such interfaces in a wide range of applications, from the asymptotics of reaction-diffusion equations and systems and hydrodynamics limits of particle systems in phase transitions to turbulent combustion.
For the entire collection see [Zbl 1045.65001].

MSC:

35K57 Reaction-diffusion equations
35B25 Singular perturbations in context of PDEs
35R35 Free boundary problems for PDEs
76F99 Turbulence
76V05 Reaction effects in flows
80A25 Combustion
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