Publication Cover
Applicable Analysis
An International Journal
Volume 73, 1999 - Issue 1-2
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Original Articles

An L1 bound for |ux (t,x) | in a one-dimensional parabolic conservation system

Pages 131-136 | Received 01 Feb 1999, Published online: 02 May 2007

References

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  • Jeffrey , A. and Lu , Y. G. 1997 . A study of the global weak solution for the isentropic equations of a polytropic gas . Am. Math. Soc. Studies in Advanced Mathematics , 3 : 261 – 270 .
  • Jeffrey A. Zhao H. Global existence and optimal temporal decay estimates for systems of parabolic conservation laws I: The onedimensional case. (submitted)
  • Jeffrey , A. and Zhao , H. 1998 . Global existence and optimal temporal decay estimates for systems of parabolic conservation laws II: . The multidimensional case. J. Math. Anal. & Appl , 217 : 597 – 623 .
  • Lax , P. D. 1972 . Hyperbolic systems of conservation laws and the mathematical theory of shock waves . Siam Regional Conference Series in Applied Mathematics , 11
  • Leveque , R. J. 1990 . Numerical Methods for Conservation Laws .
  • Zhao , H. J. 1995 . Solutions in the large for certain nonlinear parabolic systems in arbitrary spatial dimensions . Applicable Analysis , 59 : 349 – 376 .

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