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Modern Methods in Scientific Computing and Applications pp 397–449Cite as

Recent developments in the theory of front propagation and its applications

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Part of the book series: NATO Science Series ((NAII,volume 75))

Abstract

We describe a new theory for studying the geometric motion of interfaces past the first times singularities develop. 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 recation-diffusion equations and systems and hydrodynamic limits of particles systems in phase transitions to turbulent combustion.

Partially supported by the NSF.

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Authors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, Austin, TX, 78712-1082, USA

    Panagiotis E. Souganidis

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  1. Panagiotis E. Souganidis
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  1. Département de Mathématiques et de Statistique, Université de Montréal, Montréal, Québec, Canada

    Anne Bourlioux  & Gert Sabidussi  & 

  2. Department of Mathematics and Statistics, McGill University, Montréal, Québec, Canada

    Martin J. Gander

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Souganidis, P.E. (2002). Recent developments in the theory of front propagation and its applications. In: Bourlioux, A., Gander, M.J., Sabidussi, G. (eds) Modern Methods in Scientific Computing and Applications. NATO Science Series, vol 75. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0510-4_11

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