A Locally Quadratic Glimm Functional and Sharp Convergence Rate of the Glimm Scheme for Nonlinear Hyperbolic Systems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00205-009-0248-3.pdf
Reference22 articles.
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2. Ancona F., Marson A. Well-posedness for general 2 × 2 systems of conservation laws. Memoirs Amer. Math. Soc. 169(801) (2004)
3. Ancona F., Marson A.: A wave front tracking algorithm for N × N non genuinely nonlinear conservation laws. J. Differ. Equ. 177, 454–493 (2001)
4. Ancona F., Marson A.: Existence theory by front tracking for general nonlinear hyperbolic systems. Arch. Rational Mech. Anal. 185(2), 287–340 (2007)
5. Bianchini S.: On the Riemann problem for non-conservative hyperbolic systems. Arch. Rational Mech. Anal. 166, 1–26 (2003)
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1. Uniform discrete Sobolev estimates of solutions to finite difference schemes for singular limits of nonlinear PDEs;ESAIM: Mathematical Modelling and Numerical Analysis;2017-03
2. On a quadratic functional for scalar conservation laws;Journal of Hyperbolic Differential Equations;2014-06
3. Hyperbolic Conservation Laws: An Illustrated Tutorial;Lecture Notes in Mathematics;2012-09-04
4. Sharp Convergence Rate of the Glimm Scheme for General Nonlinear Hyperbolic Systems;Communications in Mathematical Physics;2011-01-28
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