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A Nonlinear Multigrid Steady-State Solver for Microflow
Multigrid Boltzmann equation ES-BGK model NRxx method
2014/10/10
We develop a nonlinear multigrid method to solve the steady state of microflow,which is modeled by the high order moment system derived recently for the steadystate Boltzmann equation with ES-BGK coll...
Exact nonequilibrium steady state of a strongly driven open XXZ chain
nonequilibrium steady state driven XXZ chain
2011/7/7
An exact and explicit ladder-tensor-network ansatz is presented for non-equilibrium steady state of an anisotropic Heisenberg XXZ spin-1/2 chain which is driven far from equilibrium with a pair of Lin...
Local structure of the set of steady-state solutions to the 2D incompressible Euler equations
Local structure of the set steady-state solutions 2D incompressible Euler equations
2011/1/21
It is well known that the incompressible Euler equations can be formulated in a very geometric language. The geometric structures provide very valuable insights into the properties of the solutions.
Steady state analysis of an M^X (G_{1A} G_{2A} \\ G_{1B} G_{2B})/1 queue with restricted admissibility of arriving batches and modified Bernoulli schedule server vacations based on a single vacation policy
two-stage sequential service Bernoulli schedule server vacations restricted admissibility
2010/9/26
We study a batch arrival queue with a single server providing two- stages of heterogeneous service with each customer having the option to choose one of the two types of first stage service followed b...
Attractiveness of a positive steady state in a population tumor growth model with quiescence
Tumor growth model Lyapunov function omega limit set
2010/9/10
We are interested in the asymptotic behavior of solutions of a dynamic population tumor cells model, having a trivial and a possible nontrivial stationary equilibrium points, first proposed by Gyllenb...