Compressible flow with damping and vacuum
The compressible Euler equations with damping and the singular behavior of the flow near the vacuum are discussed. The large-time behavior of solutions to the compressible Euler equations with damping and (related to it time asymptotically) to the so-called porous media equations is studied. A class of particular solutions for the compressible Euler equations which tend time-asymptotically to the Barenblatt solutions is constructed. The porous media equation is derived from the Euler equation through Darcy's law.
compressible Euler equations with damping
scientific article; zbMATH DE number 927307