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Global well‐posedness of classical solutions with large oscillations and vacuum to the three‐dimensional isentropic compressible Navier‐Stokes equations
- Xiangdi Huang, Jing Li, Z. Xin
- Mathematics
- 27 April 2010
We establish the global existence and uniqueness of classical solutions to the Cauchy problem for the isentropic compressible Navier‐Stokes equations in three spatial dimensions with smooth initial…
FETI‐DP, BDDC, and block Cholesky methods
- Jing Li, O. Widlund
- Mathematics, Computer Science
- 9 April 2006
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Asymptotic Stability of Combination of Viscous Contact Wave with Rarefaction Waves for One-Dimensional Compressible Navier–Stokes System
- F. Huang, Jing Li, A. Matsumura
- Mathematics
- 1 July 2010
We are concerned with the large-time behavior of solutions of the Cauchy problem to the one-dimensional compressible Navier–Stokes system for ideal polytropic fluids, where the far field states are…
Vanishing of Vacuum States and Blow-up Phenomena of the Compressible Navier-Stokes Equations
- Hai-liang Li, Jing Li, Z. Xin
- Mathematics
- 1 April 2008
The Navier-Stokes systems for compressible fluids with density-dependent viscosities are considered in the present paper. These equations, in particular, include the ones which are rigorously derived…
Global Well-Posedness and Large Time Asymptotic Behavior of Classical Solutions to the Compressible Navier–Stokes Equations with Vacuum
We are concerned with the global well-posedness and large time asymptotic behavior of strong and classical solutions to the Cauchy problem of the Navier–Stokes equations for viscous compressible…
Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities
This paper concerns the existence of global weak solutions to the barotropic compressible Navier-Stokes equations with degenerate viscosity coefficients. We construct suitable approximate system…
FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING
A dual-primal variant of the FETI-H domain decomposition method is designed for the fast, parallel, iterative solution of large-scale systems of complex equations arising from the discretization of…
BDDC Algorithms for Incompressible Stokes Equations
- Jing Li, O. Widlund
- Computer ScienceSIAM J. Numer. Anal.
- 1 December 2006
The purpose of this paper is to extend the balancing domain decomposition by constraints (BDDC) algorithm to saddle‐point problems that arise when mixed finite element methods are used to approximate…
On the use of inexact subdomain solvers for BDDC algorithms
- Jing Li, O. Widlund
- Computer Science
- 20 January 2007
A Dual-Primal FETI method for incompressible Stokes equations
- Jing Li
- Computer Science, MathematicsNumerische Mathematik
- 1 December 2005
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