Systèmes de lois de conservation et stabilité BV
Mémoires de la Société Mathématique de France, no. 75 (1998) , 116 p. 
@book{MSMF_1998_2_75__1_0,
     author = {Cheverry, Christophe},
     title = {Syst\`emes de lois de conservation et stabilit\'e {BV}},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {75},
     year = {1998},
     doi = {10.24033/msmf.388},
     zbl = {0926.35086},
     mrnumber = {2000b:35159},
     language = {fr},
     url = {http://www.numdam.org/item/MSMF_1998_2_75__1_0/}
}
TY  - BOOK
AU  - Cheverry, Christophe
TI  - Systèmes de lois de conservation et stabilité BV
T3  - Mémoires de la Société Mathématique de France
PY  - 1998
DA  - 1998///
IS  - 75
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/MSMF_1998_2_75__1_0/
UR  - https://zbmath.org/?q=an%3A0926.35086
UR  - https://www.ams.org/mathscinet-getitem?mr=2000b:35159
UR  - https://doi.org/10.24033/msmf.388
DO  - 10.24033/msmf.388
LA  - fr
ID  - MSMF_1998_2_75__1_0
ER  - 
Cheverry, Christophe. Systèmes de lois de conservation et stabilité BV. Mémoires de la Société Mathématique de France, Série 2, , no. 75 (1998), 116 p. doi : 10.24033/msmf.388. http://numdam.org/item/MSMF_1998_2_75__1_0/

[B1] A. Bressan, Lectures notes on systems of conservation laws, S.I.S.S.A, Trieste, 1996.

[B2] A. Bressan, The Semigroup Approach to Systems of conservation laws, S.I.S.S.A, Via Beirut 4, Trieste, 135/95/M. 1994.

[CCS] K. Chueh, C. Conley, J. Smoller, Positively invariant regions for systems of nonlinear diffusion equations, Indiana Math., 26 (1977), 373-392. | MR 55 #3541 | Zbl 0368.35040

[Ch1] C. Cheverry, Justification de l'optique géométrique nonlinéaire pour un système de lois de conservation, Duke Mathematical Journal, 87, (1997), 213-263. | MR 98c:35106 | Zbl 0914.35078

[Ch2] C. Cheverry, The modulation equations of non linear geometric optics, Comm. in Part. Diff. Eq, 21 (1996), 1119-1140. | MR 97e:35104 | Zbl 0867.35061

[Ch3] C. Cheverry, About the Cauchy problem for a system of conservation laws, Geometrical optics and related topics. Progress in non linear differential equations and their applications. Birhäuser. To appear. | Zbl 0897.35049

[Ch4] C. Cheverry, Optique géométrique oscillante en présence d'un grand choc, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. À paraître. | Numdam | Zbl 0957.35087

[G] J. Glimm, Solutions in the large for non linear hyperbolic systems, Commun. Pure. Applied. Math., 28 (1970), 697-715 | Zbl 0141.28902

[GL] J. Glimm, P. Lax, Decay of solutions of systems of nonlinear hyperbolic conservation laws, Memoirs Amer. Math. Soc., 101 (1970). | MR 42 #676 | Zbl 0204.11304

[H] J. Hunter, Hyperbolic waves and nonlinear geometric acoustics, Transactions of the Sixth Army Conference on Applied Mathematics and Computing, 2 (1989), 527-569. | MR 1000794 | Zbl 0668.76075

[J] F. John, Formation of Singularities in One-Dimensional Nonlinear Wave Propagation, Commun. Pure. Applied. Math., 27 (1974), 377-405. | MR 369934 | Zbl 0302.35064

[JMR1] J.-L. Joly, G. Métivier, J. Rauch, Resonant one dimensional nonlinear geometric optics, J. Funct. Anal., 114 (1993), 106-231. | MR 1220985 | Zbl 0851.35023

[JMR2] J.-L. Joly, G. Métivier, J. Rauch, A non linear instability for 3 × 3 systems of conservation laws, Comm. Math. Phys., 162 (1994), 47-59. | MR 1272766 | Zbl 0820.35093

[La] P. Lax, Hyperbolic systems of conservation laws II, Comm. Pure. Appl. Math., 10 (1957), 537-566. | MR 93653 | Zbl 0081.08803

[RY1] R. Young, Sup-norm Stability for Glimm's Scheme, Comm. Pure. Appl. Math., 46 (1993), 903-948. | MR 1220541 | Zbl 0792.35120

[RY2] B. Temple, R. Young, The large time stability of sound waves, Commun. Math. Phys., 179 (1996), 417-466. | MR 1400747 | Zbl 0858.76075

[Sc1] S. Schochet, Glimm's scheme for systems with almost-planar interactions, Comm. in Part. Diff. Eq., 16 (1991), 1423-1440. | MR 1132790 | Zbl 0746.35022

[Sc2] S. Schochet, The essence of Glimm's scheme, Preprint. | MR 1468507

[Sc3] S. Schochet, Resonant nonlinear geometrical optics for weak solutions of conservation laws, J. Diff. Eq., 113 (1994), 473-504. | MR 1297667 | Zbl 0856.35080

[Se] D. Serre, Domaines invariants pour les systèmes hyperboliques de lois de conservation, J. Diff. Eq., 69 (1987), 46-62. | MR 897440 | Zbl 0626.35061

[TPL] Tai-Ping-Liu, Decay to N-waves of solutions of general systems of nonlinear hyperbolic conservation laws, Comm. in Part. Diff. Eq., 30 (1977), 585-610. | MR 450802 | Zbl 0357.35059

[W] B. Wendroff, An analysis of front tracking for chromatography, Acta. Appl. Math., 30 (1993), 265-285. | MR 1211712 | Zbl 0789.35106

Cité par Sources :