Author: "Guoxi Ni" / Journal: siam journal on mathematical analysis - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Guoxi Ni" Journal siam journal on mathematical analysis

Author: Wenjun Sun, Song Jiang, and Guoxi Ni
Subjects: Applied Mathematics, Mathematical analysis, Mathematics::Analysis of PDEs, Rarefaction, Wave equation, Compressible flow, Euler equations, Physics::Fluid Dynamics, Computational Mathematics, Discontinuity (linguistics), symbols.namesake, Viscosity, Compressibility, symbols, Navier–Stokes equations, Analysis, Mathematics
Abstract: We prove the solution of the Navier--Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength exists globally in time, and moreover, as the viscosity and heat-conductivity coefficients tend to zero, the global solution converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly away from the initial discontinuity.
Published: 2006
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Author: Song Jiang, Guoxi Ni, and Wenjun Sun
Subjects: *PARTIAL differential equations, *MECHANICS (Physics), *PROPERTIES of matter, *NAVIER-Stokes equations, *FLUID dynamics, *VISCOUS flow, *VISCOSITY
Abstract: We prove the solution of the Navier-Stokes equations for one-dimensional compressible heat-conducting fluids with centered rarefaction data of small strength exists globally in time, and moreover, as the viscosity and heat-conductivity coefficients tend to zero, the global solution converges to the centered rarefaction wave solution of the corresponding Euler equations uniformly away from the initial discontinuity. [ABSTRACT FROM AUTHOR]
Published: 2006
Full Text: View/download PDF

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