Spatial localization for a general reaction-diffusion system

Gonzalo Galiano; Mark Adriaan Peletier

Annales de la Faculté des sciences de Toulouse : Mathématiques (1998)

  • Volume: 7, Issue: 3, page 419-441
  • ISSN: 0240-2963

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Galiano, Gonzalo, and Peletier, Mark Adriaan. "Spatial localization for a general reaction-diffusion system." Annales de la Faculté des sciences de Toulouse : Mathématiques 7.3 (1998): 419-441. <http://eudml.org/doc/73460>.

@article{Galiano1998,
author = {Galiano, Gonzalo, Peletier, Mark Adriaan},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {nonlinear diffusion; finite speed of propagation; existence of waiting times; divergence-free convection term},
language = {eng},
number = {3},
pages = {419-441},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Spatial localization for a general reaction-diffusion system},
url = {http://eudml.org/doc/73460},
volume = {7},
year = {1998},
}

TY - JOUR
AU - Galiano, Gonzalo
AU - Peletier, Mark Adriaan
TI - Spatial localization for a general reaction-diffusion system
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1998
PB - UNIVERSITE PAUL SABATIER
VL - 7
IS - 3
SP - 419
EP - 441
LA - eng
KW - nonlinear diffusion; finite speed of propagation; existence of waiting times; divergence-free convection term
UR - http://eudml.org/doc/73460
ER -

References

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  2. [2] Antontsev ( S.), Díaz ( J.I.) and Shmarev ( S.I.) .— The support shrinking properties for local solutions of quasilinear parabolic equations with strong absorption terms, Ann. Fac. Sciences de Toulouse4, n° 1 (1995), pp. 5-30. Zbl0838.35064MR1344715
  3. [3] Antontsev ( S.N.) .— On the localization of solutions of nonlinear degenerate elliptic and parabolic equations, Dokl. Akad. Nauk. SSSR, 260, n° 6 (1981), pp. 1289-1293 (in Russian; English translation in Soviet Math. Dokl.24 n° 2 (1981), pp. 420-424). Zbl0496.35051MR636152
  4. [4] Bernis ( F.) . — Finite speed of propagation and continuity of the interface for thin viscous films, Adv. Diff. Eqns1, n°3 (1996), pp. 337-368. Zbl0846.35058MR1401398
  5. [5] Díaz ( J.I.) and Stakgold ( I.) .— Mathematical aspects of the combustion of a solid by a distributed isothermal gas reaction, S.I.A.M. J. Math. Anal.26, n°2 (1995), pp. 305-328. Zbl0818.35043MR1320222
  6. [6] Díaz ( J.I.) and Veron ( L.) .— Local vanishing properties of solutions of elliptic and parabolic quasilinear equations, Trans. A.M.S.290, n° 2 (1985), pp. 787-814. Zbl0579.35003MR792828
  7. [7] Duijn ( C.J. Van) and Knabner ( P.) . — Solute transport in porous media with equilibrium and non-equilibrium multiple-site adsorption: Travelling waves, J. reine angew. Math.415 (1991), pp. 1-49. Zbl0716.73076MR1096901
  8. [8] Hilhorst ( D.), Van Der Hout ( R.) and Peletier ( L.A.) .— Diffusion in the presence of fast reaction: The case of a general monotone reaction term, J. Math. Sci. Tokyo4, n° 3 (1997), pp. 469-517. Zbl0905.35045MR1484599
  9. [9] Ladyženskaya ( O.A.), Solonnikov ( V.A.) and URAL'CEVA ( N.N.). — Linear and Quasi-linear Equations of Parabolic Type, Translations of Mathematical Monographs, A.M.S.23 (1968). Zbl0174.15403
  10. [10] Shmarev ( S.I.) .- Local properties of solutions of nonlinear equation of heat conduction with absorption, Dinamika Sploshnoi Sredy, Novosibirsk95 (1990), pp. 28-42. Zbl0726.35020MR1175705

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