Fronts in Periodic Media

Part of the Surveys and Tutorials in the Applied Mathematical Sciences book series (STAMS, volume 5)


Fronts or interfaces in periodic media are deterministic problems in between homogeneous media and random media. Much can be learned on how front solutions transition from monoscale simple solutions in Chapter 1 to multiple-scale solutions. Periodic homogenization and PDE techniques based on maximum principles are essential tools for constructing front solutions and analyzing their asymptotics. We shall observe the close relationship between Hamilton-Jacobi (HJ) and reaction- diffusion (RD) equations, and present the variational principles of front speeds.


Travel Wave Solution Periodic Medium Front Propagation Principal Eigenvalue Strong Maximum Principle 


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Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California, IrvineIrvineU.S.A.

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