A Case study in vanishing viscosity

Discrete and Continuous Dynamical Systems

Volumn 7, Issue 3, 2001, Pages 449-476

  Bianchini, Stefano ^a   Bressan, Alberto ^a  

^a SISSA   (Italy)

Author keywords

Bounded variation; Hyperbolic system of conservation laws; Vanishing viscosity approximation

Indexed keywords

EID: 0035625301     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2001.7.449     Document Type: Article

References (10)

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2. S. Bianchini and A. Bressan, On a Lyapunov functional relating shortening curves and viscous conservation laws, Nonlin. Anal., T.M.A., to appear.
3. A. Bressan, "Hyperbolic Systems of Conservation Laws. The One Dimensional Cauchy Problem", Oxford University Press, 2000.
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5. 1 stability estimates for n x n conservation laws, Arch. Rational Mech. Anal. 149 (1999), 1-22.
6. R. DiPerna, Convergence of approximate solutions to conservation laws, Arch. Rational Mech. Anal. 82 (1983), 27-70.
7. A. Friedman, "Partial Differential Equations of Parabolic Type", Prentice-Hall, Englewood Cliffs, 1964.
8. J. Goodman and Z. Xin, Viscous limits for piecewise smooth solutions to systems of conservation laws, Arch. Rational Mech. Anal. 121 (1992), 235-265.
9. 1 continuous dependence for systems of conservation laws, Arch. Rational Mech. Anal. 151 (2000), 45-93.
10. T. P. Liu and T. Yang, Well posedness theory for hyperbolic conservation laws, Comm. Pure Appl. Math. 52 (1999), 1553-1586.