Summary.
We study systems of reaction – diffusion equations of KPP-type with the coefficients and nonlinear terms slowly varying in the space variables. The long time behavior of the solution to such systems can be characterized by the motion of wave fronts. We describe the wave front motion, using the Feynman–Kac formula and the large deviation principle for the corresponding diffusion – transmutation process. We give a geometrical description of the motion in the examples and show some effects which appear in case of systems but not in the single RDE’s.
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Received: 31 October 1994/In revised form: 13 November 1995
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Freidlin, M., Lee, TY. Wave front propagation and large deviations for diffusion –transmutation process. Probab Theory Relat Fields 106, 39–70 (1996). https://doi.org/10.1007/s004400050057
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DOI: https://doi.org/10.1007/s004400050057