Asymptotic analysis of contact discontinuities

Annali di Matematica Pura ed Applicata

Volumn 173, Issue 1, 1997, Pages 163-202

  Corli, Andrea ^a  

^a UNIVERSITY OF FERRARA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8844263119     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/BF01783467     Document Type: Article

References (18)

1. C. CORDUNEANU, Almost Periodic Functions, Interscience, New York (1968).
2. A. CORLI, Weakly nonlinear geometric optics for hyperbolic systems of conservation laws with shock waves, Asymptotic Anal., 10 (1995), pp. 117-172.
3. A. CORLI, Life span of resonanting rapidly oscillating shock waves, Rend. Sem. Mat. Univ. Politec. Torino, 51(4) (1993), pp. 397-411.
4. R. COURANT - D. HILBERT, Methods of mathematical physics II, Interscience, New York (1962).
5. O. GUÈS, Ondes solitaires engendrées par interaction d'ondes oscillantes non linéaires, J. Math. Pures Appl., 74 (3) (1995), pp. 199-252.
6. E. GODLEWSKI - P. A. RAVIART, Hyperbolic systems of conservation laws, Société de Mathématiques Appliquées et Industrielles, Ellipses, Paris (1991).
7. J.-L. JOLY - G. MÉTIVIER - J. RAUCH, Justification of resonant one-dimensional nonlinear geometric optics, J. Funct. Anal., 114(1) (1993), pp. 106-231.
8. E. HARABETIAN, A convergent series expansion for hyperbolic systems of conservation laws, Trans. Amer. Math. Soc., 294 (1986), pp. 383-424.
9. LI TA-TSIEN, YU WEN-CI, Boundary Value Problems for Quasilinear Hyperbolic Systems, Duke University Press, Durham.
10. A. MAJDA, The stability of multi-dimensional shock fronts, Mem. Amer. Math. Soc., 275 (1983).
11. A. MAJDA, Nonlinear geometric optics for hyperbolic systems of conservation laws, in: C. DAFERMOS - J. L. ERICKSEN - D. KINDERLEHRER - M. SLEMROD (ed.), Oscillation Theory, Computation, and Methods of Compensated Compactness, Springer, New York (1986), pp. 115-165.
12. A. MAJDA - M. ARTOLA, Nonlinear geometric optics for hyperbolic mixed problems, in: Analyse Mathématique et applications, Contributions en l'honneur de Jacques-Louis Lions, Gauthier-Villars, Paris (1988), pp. 319-356.
13. A. MAJDA - R. ROSALES, Resonantly interacting weakly nonlinear hyperbolic waves I. A single space variable, Stud. Appl. Math., 71 (1984), pp. 149-179.
14. S. SCHOCHET, Sufficient condition for local existence via Glimm's scheme for large BV data, J. Differential Equations, 89 (1991), pp. 317-354.
15. D. SERRE, Oscillations non linéaires des systèmes hyperboliques: méthodes et résultats qualitatifs, Ann. Inst. H. Poincaré, Anal. Non Linéaire, 8 (3-4) (1991), pp. 351-417.
16. M. SHEARER, Elementary wave solutions of the equations describing the motion of an elastic string, SIAM J. Math. Anal. 16(3) (1985), pp. 447-459.
17. J. SMOLLER, Shock Waves and Reaction-Diffusion Equations, Springer, New York (1983).
18. T. R. WAGENMAKER, Analytic solutions and resonant solutions of hyperbolic partial differential equations, Ph.D. Thesis, University of Michigan (1994).