Crossover between diffusion-limited and reaction-limited regimes in the coagulation–diffusion process
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aadd53
Abstract: The cross-over between diffusion-limited and reaction-limited cooperative behaviour in reaction-diffusion systems is studied through the change of the scaling behaviour of the coagulation-diffusion process. This model is exactly solvable through the empty-interval method, which can… read more here.
Keywords: limited reaction; diffusion; coagulation diffusion; diffusion limited ... See more keywords
Perturbative Traveling-Wave Solution for a Flux-Limited Reaction-Diffusion Morphogenesis Equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of the Korean Physical Society"
DOI: 10.3938/jkps.76.323
Abstract: In this study, we investigate a porous medium-type flux-limited reaction—diffusion equation that arises in morphogenesis modeling. This nonlinear partial differential equation is an extension of the generalized Fisher—Kolmogorov—Petrovsky—Piskunov (Fisher-KPP) equation in one-dimensional space. The approximate… read more here.
Keywords: limited reaction; wave solution; flux limited; reaction diffusion ... See more keywords