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On the stability of...
On the stability of finite element methods for shock waves
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- Szepessy, Anders, 1960- (author)
- KTH,Numerisk analys och datalogi, NADA
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(creator_code:org_t)
- NEW YORK : John Wiley & Sons, 1992
- 1992
- English.
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In: Communications on Pure and Applied Mathematics. - NEW YORK : John Wiley & Sons. - 0010-3640 .- 1097-0312. ; 45:8, s. 923-946
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- this paper we study the large time asymptotic stability of solutions for systems of nonlinear viscous conservation laws of the form (1:1) u t + f(u) x = u xx ; x 2 R I ; t ? 0 ; u 2 R I u(\Delta; 0) = u 0 (\Delta) : We treat systems which are strictly hyperbolic. Such systems possess a smooth travelling wave solution, which is called a viscous p-shock wave solution, u(x; t) = OE(x \Gamma oet) x!\Sigma1 OE(x) = u \Sigma ; provided that the shock strength ffl j ju + \Gamma u \Gamma j is small [19], the constant states u \Sigma and the wave speed oe are related by the Rankine-Hugoniot condition (1:3a) f(u \Gamma ) \Gamma f(u+ ) = oe(u \Gamma \Gamma u+ )
Keyword
- SCALAR CONSERVATION-LAWS
- CONVERGENCE
- PROFILES
Publication and Content Type
- ref (subject category)
- art (subject category)
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