Fronts in Periodic Media
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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.
KeywordsTravel Wave Solution Periodic Medium Front Propagation Principal Eigenvalue Strong Maximum Principle
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