AbstractChemically reacting flows have many applications in combustion. There are several difficulties in constructing high-order numerical methods: (1) Due to the rapid reaction rate, the system may contain stiff source terms. (2) The transition points near the shocks may trigger the stiff source leading to spurious shock speed. (3) Physically, the density, internal energy are positive, and th...
AbstractBethe subalgebras form a family of maximal commutative subalgebras of the Yangian of a simple Lie algebra, parametrized by regular elements of the corresponding adjoint Lie group. We introduce an affinecrystal structure on the set of eigenlines for a Bethe subalgebra in a representation of the Yangian. This helps to describe the monodromy of solutions of Bethe ansatz for the correspondi...