Orateur
Philippe Laurençot
Description
Global existence of weak solutions to a fully parabolic chemotaxis system with indirect signal production and degenerate cell diffusion is shown. The proof is based on a discrete time scheme introduced by Yoshifumi Mimura (2024), for which each equation can be solved separately by a suitable variational approach. Maximal regularity at the discrete level also plays an important role (on-going joint work with Tatsuya Hosono, Osaka).