Publication Cover
Applicable Analysis
An International Journal
Volume 57, 1995 - Issue 1-2
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Original Articles

Geometrical optics and post shock behavior for nonlinear conservation laws

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Pages 145-176 | Received 08 Apr 1994, Published online: 02 May 2007

  • Whitham , G. B. 1952 . Comm. Pun Appl. Math. , 5 : 301 – 348 .
  • Whitham , G. B. 1953 . Comm. Pure Appl. Math. , 6 : 397 – 414 .
  • Landau , L. D. 1945 . J. Phys. USSR , 9 : 495 – 500 .
  • Lightill , M. J. 1949 . Phil. Mag. , 40 : 1179 – 1201 .
  • Taniuti , T. and Wei , C. C. 1968 . J. Phys. Soc. Japan , 24 ( 4 ) : 941 – 946 .
  • Asano , N. and Taniuti , T. 1970 . J. Phys. Soc. Japan , 29 ( 1 ) : 209 – 214 .
  • Asano , N. 1970 . J. Phys. Soc. Japan , 29 ( 1 ) : 220 – 224 .
  • Choquet-Bnrhat , Y. 1969 . J. Math. Pure Appl. , 48 : 117 – 158 .
  • Seymour , B. R. and Mortell , M. P. 1975 . Mechanics Today , 251 – 312 . New York : Pergamon .
  • Nayfeh , A. 1980 . Singular Perturbatiow and Asymptotics , 223 – 276 . New York : Academic Press .
  • Kluwick , A. 1981 . Prog. Aerospace Sc. , 19 : 197 – 313 .
  • Hunter , J. K. and Keller , J. B. 1983 . Comm. Pure Appl. Math. , 36 : 547 – 569 .
  • Hunter , J. K. 1991 . Multidimewional Hyperbolic Problem and Computations , 179 – 197 . New York : Springer-Verlag .
  • Hunter , J. K. , Majda , A. and bales , R. R. 1986 . Stud. Appl. Math. , 75 : 187 – 226 .
  • Majda , A. and Artola , M. 1988 . Analyse Mathkmatique et Applicatiow , 319 – 356 . Paris : Gauthier-Villars .
  • Majda , A. and Rosales , R. R. 1984 . Stud. Appl. Math. , 71 : 149 – 179 .
  • Majda , A. , Rosales , R. R. and Schonbek , M. 1988 . Stud. Appl. Math. , 79 : 205 – 262 .
  • Cehelsky , P. and Rosales , R. R. 1986 . Stud. Appl. Math. , 73 : 117 – 138 .
  • Diperna , R. and Majda , A. 1985 . Comm. Math. Phys. , 73 : 313 – 347 .
  • He , Y. and Moodie , T. B. 1991 . Stud. Appl. Math. , 85 : 343 – 372 .
  • He , Y. and Moodie , T. B. 1993 . Stud. appl. Math. , 89 : 195 – 231 .
  • Rosales , R. R. 1989 . Continuum Mechanics and Its Applications , New York : Hemisphere Publishing Co. .
  • Moodie , T. B. and Swaters , G. E. 1989 . Quart. Appl. Math. , 47 ( 4 ) : 705 – 722 .
  • Isaacson , E. and Temple , B. 1992 . SIAM J. Appl.Math. , 52 ( 5 ) : 1260 – 1278 .
  • Jeffrey , A. 1963 . Arch. Rat. Mech. Anal. , 14 : 27 – 37 .
  • Li , T. and Yu , W. 1983 . “ Navier–Stokes Equations and Nonlinear Functional Analysis ” . In CBMS–NSF Regional Conference Series in Applied Mathematics , Philadelphia : SIAM .
  • Majda , A. 1984 . Applied Math. Science , Vol. 53 , New York : Springer-Verlag .
  • Lax , P. D. 1973 . SIAM Regional Conference Ser. in Applied Math. , 11
  • Smoller , J. 1983 . Shock Waves and Reaction Difuion Equatioru , New York : Springer Verlag .
  • Rosales , R.R. and Konopelchenko , B. in press . private communication ,

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