Publication Cover
Applicable Analysis
An International Journal
Volume 67, 1997 - Issue 3-4
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Original Articles

On the cauchy problem to the system of one-dimensional isentropic/isothermal in compressible flowFootnote*

Pages 205-219 | Received 01 Apr 1997, Published online: 02 Nov 2010

References

  • Chueh , K.N. , Conley , C.C. and Smoller , J.A. 1977 . Positively invariant regions for systems of nonlinear diffusion equations . Indiana University Mathematics Journal , 26 ( 2 ) : 373 – 392 .
  • Dafermos , C.M. 1987 . Estimates for conservation laws with little viscosity . SIAM J.Math. Anal , 18 : 409 – 421 .
  • Ding , X.X. and Wang , J.H. 1983 . Global solution for a semilinear parabolic system . Acta Mathematica Scientia , 3 : 397 – 412 .
  • Diperna , R.J. 1973 . Global solution to a class of nonlinear hyperbolic systems of equations . Comm.Pure Appl. Math , 26 : 1 – 28 .
  • Hoff , D. 1985 . Solutions in the large for certain nonlinear parabolic systems . Anal. Nonlineaire , 2 : 213 – 235 .
  • Hoff , D. and Smoller , J.A. 1987 . Global existence for systems of parabolic conservation laws . J.Diff.Eqns , 68 : 210 – 220 .
  • Nishida , T. and Smoller , J.A. 1983 . A class of convergent finite-difference schemes for certain nonlinear parabolic systems . Comm.Pure Appl.Math , 36 : 785 – 808 .
  • Schonbek , M.E. 1980 . Decay of solutions to parabolic conservation laws . Comm in PDE , 7 ( 1 ) : 449 – 473 .
  • Zhao , H.J. 1995 . Solutions in the large for certain parabolic systems in arbitrary spatial dimensions . Applicable Analysis , 59 : 349 – 376 .
  • Zhao , H.J. and Zhu , C.J. 1996 . Solutions in the large for certain nonlinear parabolic equations and applications . Proceedings of the Royal society of , 126A : 19 – 45 .

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