Ronghua Pan
Department of Mathematics, Georgia Institute of Technology
As an experimental law, Darcy's law plays an important role in the investigation on compressible flows through porous medium. It was conjectured that Darcy's law can be verified by basic balance laws of mechanics time asymptotically. Previous attemps are able to justify the conjecture for small smooth flows away from vacuum. I will show a proof to the conjecture valid for all physical flows. This is joint work with F. Huang and P. Marcati.