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Communications in Computational Physics, 2019
Based on two-grid discretizations, a local and parallel finite element algorithm (LPFEA) based on Newton iteration for solving the stationary incompressible magnetohydrodynamics (MHD) is considered in this paper.
Qili Tang, Yunqing Huang
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Based on two-grid discretizations, a local and parallel finite element algorithm (LPFEA) based on Newton iteration for solving the stationary incompressible magnetohydrodynamics (MHD) is considered in this paper.
Qili Tang, Yunqing Huang
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Fractional powers of the Stokes operator with boundary conditions involving the pressure
Mathematische Nachrichten, 2019Since the pioneer work of Leray [21] and Hopf [15], Stokes and Navier-Stokes problems have been often studied with Dirichlet boundary condition. Nevertheless, in the opinion of engineers and physicists such a condition is not always realistic in ...
H. A. Baba
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Approximation of Smooth Stable Invariant Manifolds for Stochastic Partial Differential Equations
Journal of Partial Differential Equations, 2019Invariant manifolds are complicate random sets useful for describing and understanding the qualitative behavior of nonlinear dynamical systems. The purpose of the present paper is try to approximate smooth stable invariant manifolds for a type of ...
Zhongkai Guo sci
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Advances in Applied Mathematics and Mechanics, 2018
In this paper, air chemical non-equilibrium effects on the shock-induced combustion flow are numerically investigated for a reaction control system (RCS) with gaseous ethylene fuel by solving multi-component Navier-Stokes (N-S) equations.
Faming Zhao
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In this paper, air chemical non-equilibrium effects on the shock-induced combustion flow are numerically investigated for a reaction control system (RCS) with gaseous ethylene fuel by solving multi-component Navier-Stokes (N-S) equations.
Faming Zhao
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Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows
Advances in Applied Mathematics and Mechanics, 2018In this paper, we investigate the nonlinear system of Navier-Stokes and Darcy flows coupled by the Beavers-Joseph-Saffman law on the interface. The wellposedness of the weak and numerical solutions are established.
Xin Chen
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