Stability of contact discontinuities under perturbations of bounded variation

Andrea Corli; Monique Sablé-Tougeron

Rendiconti del Seminario Matematico della Università di Padova (1997)

  • Volume: 97, page 35-60
  • ISSN: 0041-8994

How to cite

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Corli, Andrea, and Sablé-Tougeron, Monique. "Stability of contact discontinuities under perturbations of bounded variation." Rendiconti del Seminario Matematico della Università di Padova 97 (1997): 35-60. <http://eudml.org/doc/108429>.

@article{Corli1997,
author = {Corli, Andrea, Sablé-Tougeron, Monique},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {persistence of contact discontinuity; one space dimension; Riemann problem; global weak solution; Glimm's approximation scheme},
language = {eng},
pages = {35-60},
publisher = {Seminario Matematico of the University of Padua},
title = {Stability of contact discontinuities under perturbations of bounded variation},
url = {http://eudml.org/doc/108429},
volume = {97},
year = {1997},
}

TY - JOUR
AU - Corli, Andrea
AU - Sablé-Tougeron, Monique
TI - Stability of contact discontinuities under perturbations of bounded variation
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1997
PB - Seminario Matematico of the University of Padua
VL - 97
SP - 35
EP - 60
LA - eng
KW - persistence of contact discontinuity; one space dimension; Riemann problem; global weak solution; Glimm's approximation scheme
UR - http://eudml.org/doc/108429
ER -

References

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  1. [Ch] I.-L. Chern, Stability theorem and truncation error analysis for the Glimm scheme and for a front tracking method for flows with strong discontinuities, Comm. Pure Appl. Math., 42 (1989), pp. 815-844. Zbl0677.76045MR1003436
  2. [Co] A. Corli, Asymptotic analysis of contact discontinuties, to appear on Ann. Mat. Pura Appl. Zbl0937.35101MR1625551
  3. [CST1] A. Corli - M. Sablé-Tougeron, Perturbation of bounded variation of a strong shock wave, to appear on J. Differential Eq. Zbl0881.35071MR1462267
  4. [CST2] A. Corli - M. Sablé-Tougeron, Perturbations à variation bornée d'un choc de grande amplitude, C. R. Acad. Sci. Paris Sér. I Math., 321 (1995), pp. 537-540. Zbl0838.35073MR1356549
  5. [Gl] J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math., 28 (1965), pp. 697-715. Zbl0141.28902MR194770
  6. [GL] J. Glimm - P.D. Lax, Decay of solutions of systems of nonlinear hyperbolic conservation laws, Mem. Amer. Math. Soc., 101 (1970). Zbl0204.11304MR265767
  7. [JT] A. Jeffrey - T. Taniuti, Non-Linear Wave Propagation, Academic Press, New York (1964). Zbl0117.21103MR167137
  8. [Li] T.-P. Liu, Linear and nonlinear large-time behavior of solutions of general systems of hyperbolic conservation laws, Comm. Pure Appl. Math., 30 (1977), pp. 767-796. Zbl0358.35014MR499781
  9. [Sc] S. Schochet, Sufficient conditions for local existence via Glimm's scheme for large BV data, J. Differential Eq., 89 (1991), pp. 317-354. Zbl0733.35072MR1091481
  10. [ST] M. Sablé-Tougeron, Méthode de Glimm et problème mixte, Ann. Inst. H. Poincaré, 10 (1993), pp. 423-443. Zbl0832.35093MR1246461

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