In this talk,we start with a general linear Hamiltoniansystem ut = J Lu in a Hilbert space X-the energy space.Weassume that(a)J ∶ X*(∩)D(J)→ X is anti-self-a
In this talk,we study the three-dimensional axisymmetric Navier-Stokes system with nonzero swirl.By establishing a new key inequality for the pair(wr,wθ),we ge
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