Degenerate diffusion equations with drift functionals modelling aggregation

Model for chemotaxis

Evelyn Fox Keller, Lee A. Segel · Journal of Theoretical Biology · 1971 · 1.9K citations

Biased random walk models for chemotaxis and related diffusion approximations

Wolgang Alt · Journal of Mathematical Biology · 1980 · 475 citations

Engineering, Biological Engineering, Biological Transport Phenomena +13

Stabilization of solutions of a degenerate nonlinear diffusion problem

Donald G. Aronson, Michael G. Crandall, L. A. Peletier · Nonlinear Analysis · 1982 · 386 citations

Natural Sciences, Mathematics, Differential Equations +11

Regularity Propeties of Flows Through Porous Media

D. G. Aronson · SIAM Journal on Applied Mathematics · 1969 · 275 citations

Engineering, Physics, Fluid Dynamics +15

Asymptotic Behavior for a Nonlinear Degenerate Diffusion Equation in Population Dynamics

Toshitaka Nagai, Masayasu Mimura · SIAM Journal on Applied Mathematics · 1983 · 69 citations

Life Sciences, Ecology, Metapopulation Dynamics +15