Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 3-4
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Original Articles

A Comparison Theorem for a Nonlinear system Arising in Porous Medium Combustion

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Pages 247-254 | Published online: 02 May 2007

References

  • Feirseisl , E. and Norbury , J. 1991 . Some existence, uniqueness and non-uniqueness theorems for solutions of parabolic equations with discontinuous nonlinearities . Proc. Roy. Soc. Edinburgh , 119 : 1 – 17 .
  • Henry , D. 1981 . “ Lecture notes in Math ” . In Geometric theory of semilinear parabolic equations , Vol. 840 , Springer-Verlag .
  • Norbury , J. and Stuart , A. M. 1987 . Parabolic free boundary problems arising in porous medium combustion . IMA J. Appl. Math , 39 : 247 – 257 .
  • Norbury , J. and Stuart , A. M. 1988 . Travelling combustion waves in a porous medium. Part I - Existence . SIAM J. Appl. Math , 48 ( 1 ) : 155 – 169 .
  • Norbury , J. and Stuart , A. M. 1988 . Travelling combustion waves in a porous medium. Part II - Stability . SIAM J. Appl. Math , 48 ( 2 ) : 374 – 392 .
  • Protter , M. H. and Weinberger , H. F. 1976 . Maximum principles in differential equations , Prentice-Hall .

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