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math.AP2026
Propagation rates in integro-differential equations of ignition type
Émeric Bouin, Jérôme Coville, Xi Zhang
This paper provides sharp rates of invasion in nonlinear integro-differential equations of ignition type. The framework covers both integrable convolution kernels and singular frac…
math.AP2024
Acceleration or finite speed propagation in integro-differential equations with logarithmic Allee effect
Emeric Bouin, Jérôme Coville, Xi Zhang
This paper is devoted to studying propagation phenomena in integro-differential equations with a weakly degenerate non-linearity. The reaction term can be seen as an intermediate b…
math.AP2023
Acceleration or finite speed propagation in weakly monostable reaction-diffusion equations
Emeric Bouin, Jérôme Coville, Xi Zhang
This paper focuses on propagation phenomena in reaction-diffusion equations with a weaklymonostable nonlinearity. The reaction term can be seen as an intermediate between the class…