Abstract In this talk we discuss a generalized Lax equivalence theory for the compressible Navier-Stokes system: convergence = stability + consistency. First, we introduce the concept of consistent approximation representing the (energy/entropy) stability and consistency of suitable numerical solutions. Then, by passing to the limit we obtain a dissipative weak solution with the only informatio...
AbstractThis serves as a complement to Junliang Shens talk. l will begin with the classical theory of theBeauville decomposition, which provides a canonical, multiplicative splitting of the Leray filtration forabelian schemes. Then l will discuss the problem of extending the Beauville decomposition tocertain abelian fibrations with singular fibers. l will explain how the extension leads to them...