Shock waves, shock profiles and stability

Texte intégral

(1)Shock waves, shock profiles and stability Denis Serre. To cite this version: Denis Serre. Shock waves, shock profiles and stability. 3rd cycle. Pékin (Chine), 1998, pp.36. �cel00372892�. HAL Id: cel-00372892 https://cel.archives-ouvertes.fr/cel-00372892 Submitted on 2 Apr 2009. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(56) $ W G F=§ F |V0F S ;=<>@?I!B;HI J ;CB+D ;=<U< ; S B? < B;=<RWD B V0F Qys<;37PKs<;=5.> ; W . @ V NQP 6 P M = 1 L EP M + 1 L . f M = 1 V W?E" PCP ;HI 4 B = V f M = 1 L V W?E" PCP ;HI 4 L P XQeI,8 q+ ;W?PQR5.>&7<;=>+XY;37Vmi;N?AQ8U3U3K(q8>82q+n`;N?<?O;="U3K @@ L ?OIY5&Q _ ]8lK ]h;=7<@I sPK?OtKQR7C7<5 7PI"K QRs<;=7<KsP;35.> 1 cK7<7P;3 >"g M 7<K~>q 7<5 = 5.sN L ]TKo>q 7PI8:7?VXQ I L ?OI"5&Qe_"?8:sPK8:UN?O5 L?VI"5&Q _Y? ;3> 7PI"K?OK~>?OK`5SBc8M `B L f 1 L f ` B 1 ) 76;N?6>"5.7 q+;QRX"U=767P5Q IYKQ _p7<I87;=>i7<IYK?<Q8UW8:s Q8.?VKK(8.QeIi;3>YK\X*8:U3;=7Vm`;3> 7<I"KBq&KR>";=7<;3= 52>;W? K(\X";=l2= 8:U3K~>+7T 7<5 7< IYKA|} U3K;=>" ;3_QR52>q+;=7<;352>1 ) >`7<IY;W?hQ82?OK&7<I"K 6eQyX"s<lK? 8 4 B h = 8>h q a34a L QR5.;=>QR;Wq&K ]h;=7+7 = 1 L 5.s L1 = 1)i52s<Khg.K~>"Kse8U3U=mRS5.s]TK8:_ ?OI"5&Qe_Y? 7PI8:7;N? L = 0 .

(57) 7<I"K#7V]T5QR5.>q&;37<;=5.M >?h F 8 >qEo8s<K#K(\X";=l28:U3K~>+7T7<5 K82Q I`527<I"K~s Q 8. Qy7<X8U3U3mK+7<IYKBQ QR5. >*4q+ ;37P;35.> @6 BK(QR5.n`K(? 7<s<;=l+4 ;NB 8: U " K(Q8:X?VK M = 1 L nM X ?O7}KQRU35 ?OKC7<5` 7P I" K?Ot KQR 7P4se8oM 5 S = 8>q 5: S L J S45.sBM ;rS D ;W?}8` t5.;3>&7 5:S = ]h I" K sPK M = 1 = 1 L &7<I"K~> L = M MNL M = 8:> q = = ;3n`tYU3m L L 7PI8:7B;W? - L 8>q L1 1 L 1 ;=>QRK:1 L1 8:sPK`QyU35?VK 7<5K82Q I 5. 7<IYKs M Y8D";SX"seQ87<;=5.>4 8>8: U=m"?V;W? ?OKK?OK(QR7< ;=5. >F&130 ?OI"5] 7PI8: 7}82QR7<M X= +8 U3U=m M- 4 L 4 1 HJ= I"K>p5?<Qy;3U3UN8:7P;35.>*? 5:S ;< = 1 8:U=5.>"g B = QR52s<s<K(?Ot5.>q7<55?PQR;3U=UW8:7P;352>? 5S ;< 1 L 8U35.>Yg L 1 |}>7<I"KQR52>+7Pse8:sPm ]JK}?VI8:U=U?VKK};3> 7<IYK6>"K~M+7^QeI8t"7<Ks^7PI8:7T?O52n`K}?O7Ps<52>"g ?VI"5&Q _Y? nX?V7 K8.q+n`;=7<7PKq 8:U37PI"5.XYg.I7PI"Km q+5 >"527?<8:7P;W?Sm 7<I"K QRs<;=7<KsP;352>1 HJI+X?A7PI"K Qys<;37PKs<;=5.> n8:_K(?D?VK>?VK52>"U3m S5.s ]JK8_?OI"5&Qe_Y?R1.

(58) .

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(63) = 1^HJIYK> F+1=0 s<Kq&XQRK?^7<5pX 8 g2K>+XY;3>"KA| )# F+1 F i . 1 1 + . @1 = 56 , ++ = = Q @ 0a . .

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