4 papers
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…
Travelling waves in nonlocal reaction-dispersion equations with diffuse L{é}vy measures
Emeric Bouin, Jérôme Coville
In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework usi…
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…
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…