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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex integration and non-uniqueness of weak solutions for viscous fluids
粘性流体弱解 凸积分 非唯一性
2023/4/23
In this talk, I will discuss the method of convex integration and its applications on non-uniqueness of weak solutions to the hyper-viscous incompressible Navier-Stokes equations as well as the hypo-v...
A solution of the non-uniqueness problem of the Dirac Hamiltonian and energy operators
non-uniqueness problem Dirac Hamiltonian energy operators General Relativity and Quantum Cosmology
2011/10/9
Abstract: In a general spacetime, the possible choices for the field of orthonormal tetrads lead (in standard conditions) to equivalent Dirac equations. However, the Hamiltonian operator is got from r...
We prove that the kernels of Fourier–Mukai functors are not unique in general. On the other hand we show that the cohomology sheaves of those kernels are unique. We also discuss several properties of ...
Non-uniqueness of the Dirac theory in a curved spacetime
curved spacetime Non-uniqueness Dirac theory
2010/3/17
We summarize a recent work on the subject title. The Dirac equation in a curved spacetime depends on a field of coefficients (essentially the Dirac matrices), for which a continuum of different choice...
Uniqueness and non-uniqueness in percolation theory
percolation uniqueness of the infinite cluster transitive graphs amenability
2009/5/18
This paper is an up-to-date introduction to the problem of uniqueness versus non-uniqueness of infinite clusters for percolation on $Z^d$ and more generally on transitive graphs. For iid percolation o...