The Freidlin-Gärtner formula gives the asymptotic invasion shape in periodic media for reaction-diffusion equations, with new results on regular versions and profile convergence to pulsating fronts for bistable cases.
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Under weak stability of 0 and 1 and existence of pulsating fronts, solutions to reaction-diffusion equations in periodic media exhibit front profiles at large times, with a generalized Freidlin-Gärtner formula for invasion shapes.
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Freidlin-G\"artner formula and asymptotic profile in reaction-diffusion equations
The Freidlin-Gärtner formula gives the asymptotic invasion shape in periodic media for reaction-diffusion equations, with new results on regular versions and profile convergence to pulsating fronts for bistable cases.
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Reaction-diffusion equations in periodic media: convergence to pulsating fronts
Under weak stability of 0 and 1 and existence of pulsating fronts, solutions to reaction-diffusion equations in periodic media exhibit front profiles at large times, with a generalized Freidlin-Gärtner formula for invasion shapes.