In a fluid with a non-monotonic state equation,say van der Waals fluid,nonclassical shock waves like subsonic phase transition usually appear whose characterist
The talk is mainly concerned with some recent studies on the generalized MHD and Hall-MHD systems.First,we will give a brief review of progress on well-posednes
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