This work is motivated by a paper of Bourgain,Brezis and Mironescu.In this paper,the authors give a new insight onclassical Sobolev spaces.They establish new co
It is well-known that shock will form in finite time for hyperbolic conservation laws from initial compression no matter how small and smooth the data are.Class
We propose a conservation-dissipation formalism(CDF)for coarse-grained descriptions of irreversible processes.This formalism is based on a stability criterion f