| Abstract |
In this presentation, we discuss recent existence results for nonlinear diffusion equations with a divergence-type drift term, which are broadly applicable to various reaction-diffusion equations, including Keller-Segel models. We focus on identifying appropriate functional spaces for the drift, guided by the nonlinear diffusion and initial data. Using techniques from the theory of Wasserstein spaces, we construct weak solutions and establish their regularity properties. |
