Variational principles for propagation speeds in inhomogeneous media. (English) Zbl 0995.35031

Front propagation speed in reactive flows with inhomogeneities is investigated. A variational characterization of the front speed for reaction-diffusion-advection equations in periodically heterogeneous media is proved. The indicated method can be applied to any problem obeying a maximum principle. Three examples are analyzed. The effects of the inhomogeneous medium are discussed.


35K57 Reaction-diffusion equations
35B50 Maximum principles in context of PDEs
35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
76V05 Reaction effects in flows
35B40 Asymptotic behavior of solutions to PDEs
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