Extends Freidlin-Gärtner formula to asymmetric nonlocal diffusion, representing spreading sets as Minkowski sums and proving uniform estimates plus local Hausdorff convergence of level sets.
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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.
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.
citing papers explorer
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Propagation Dynamics for Multidimensional Nonlocal Diffusion Equations: A General Freidlin-G\"artner Formula
Extends Freidlin-Gärtner formula to asymmetric nonlocal diffusion, representing spreading sets as Minkowski sums and proving uniform estimates plus local Hausdorff convergence of level sets.
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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.