Regularity Analysis for Systems of Reaction-Diffusion Equations

Thierry Goudon
Institut National de Recherche en Informatique Automatique (INRIA)

We are interested in proving the regularity of solutions to some systems of reaction--diffusion equations, which is actually a consequence of global boundedness.

Our approach is inspired by De Giorgi's method for elliptic regularity with rough coefficients. The proof uses the specific structure of the system to be considered and is not a mere adaptation of scalar techniques; in particular the entropy dissipation of the system plays a crucial role in the analysis.

Presentation (PDF File)

Back to Workshop IV: Asymptotic Methods for Dissipative Particle Systems