Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 10
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Original Articles

Nonlinear pseudoparabolic equations as singular limit of reaction–diffusion equations

Pages 1285-1299 | Accepted 23 Nov 2004, Published online: 04 Jan 2007

References

  • Barenblatt , GI , Entov , VM and Ryzhik , VM . 1990 . Theory of Fluid Flow Through Natural Rocks , Dordrecht : Kluwer .
  • Boehm , M . 1987 . Existence of Hölder–continuous solutions for a nonlinear pseudo-parabolic diffusion equation . Preprint Humboldt Universität, Berlin , 132 ( I ) : 1 – 10 .
  • Boehm , M . 1987 . Well-posedness and regularity for a non-linear pseudoparabolic equation of fissured – media type . Preprint Humboldt Universität, Berlin , 132 ( II ) : 1 – 10 .
  • Boehm , M and Showalter , RE . 1985 . Diffusion in fissured media . SIAM Journal on Mathematical Analysis , 16 ( 3 ) : 501 – 509 .
  • Boehm , M and Showalter , RE . 1985 . A nonlinear pseudoparabolic diffusion equation . SIAM Journal on Mathematical Analysis , 16 ( 5 ) : 980 – 999 .
  • Chen , P and Gurtin , M . 1968 . On a theory of heat conduction involving two temperatures . Zeitschrift für Angewandte Mathematik und Physik , 19 : 614 – 627 .
  • Cuesta , C , van Duijn , CJ and Hulshof , J . 1999 . Infiltration in porous media with dynamic capillary pressure: travelling waves . Modelling, Analysis, and Simulation, Preprint CWI , : 1 – 19 . November 30
  • Deimling , K . 1992 . Multivalued Differential Equations , Berlin, New York : Walter de Gruyter .
  • Gajewski , H , Gröger , K and Zacharias , K . 1974 . Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen , New York : Springer-Verlag .
  • Gray , WG and Hassanizadeh , SM . 1993 . Thermodynamic basis of capillary pressure in porous media . Water Resources Research , 29 : 3389 – 3405 .
  • Lions , JL . 1969 . Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires , Paris : Dunod .
  • Showalter , RE . 1983 . Local regularity, boundary values and maximum principles for pseudoparabolic equations . Applicable Analysis , 16 : 235 – 241 .

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