Registered Data

[00852] Energy stable and positive DG scheme for Keller-Segel equations

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @E703
  • Type : Contributed Talk
  • Abstract : This work is focused on discretization of the Keller-Segel equations for chemotaxis, a challenging problem due to its convective nature. Specifically, we introduce a new upwind, mass-conservative, positive and energy-dissipative discontinuous Galerkin which is based on the gradient-flow structure of the equations. Also we present some numerical tests in accordance with the aforementioned properties of the discretization, showing a good behaviour in the case of chemotactic collapse, where very steep gradients appear
  • Classification : 65M60, 35Q92, 92-10
  • Format : Online Talk on Zoom
  • Author(s) :
    • J. Rafael Rodríguez-Galván (Universidad de Cádiz)
    • Francisco Guillén-González (Universidad de Sevilla)
    • Daniel Acosta-Soba (Universidad de Cádiz)