The Inviscid Limits to Piecewise Smooth Solutions for a General Parabolic System. (5th January 2012)

• Record Type: Journal Article
• Authors: Ma, Shixiang
• Other Names: Kulshreshtha U. Academic Editor.; Znojil M. Academic Editor.
• Is Part Of: ISRN mathematical physics. Volume 2012(2012)
• Publication Date: 2012-01-05
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Electronic journals; Periodicals; 530.15
• DOI: 10.5402/2012/782306
• Languages: English
• ISSNs: 2090-4673

Abstract

Abstract : We study the viscous limit problem for a general system of conservation laws. We prove that if the solution of the underlying inviscid problem is piecewise smooth with finitely many noninteracting shocks satisfying the entropy condition, then there exist solutions to the corresponding viscous system which converge to the inviscid solutions away from shock discontinuities at a rate of ε 1 as the viscosity coefficient ε vanishes.