Recent developments in the theory of front propagation and its applications

  • Panagiotis E. Souganidis
Part of the NATO Science Series book series (NAII, volume 75)


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.


Viscosity Solution Normal Velocity Gibbs Measure Front Propagation Signed Distance Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • Panagiotis E. Souganidis
    • 1
  1. 1.Department of MathematicsThe University of Texas at AustinAustinUSA

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