Large time behaviour of a diffusion equation with strong convection

S. Claudi; R. Natalini; A. Tesei

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1994)

  • Volume: 21, Issue: 3, page 445-474
  • ISSN: 0391-173X

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Claudi, S., Natalini, R., and Tesei, A.. "Large time behaviour of a diffusion equation with strong convection." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.3 (1994): 445-474. <http://eudml.org/doc/84187>.

@article{Claudi1994,
author = {Claudi, S., Natalini, R., Tesei, A.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {rescaling; selfsimilar entropy solution; compensated compactness},
language = {eng},
number = {3},
pages = {445-474},
publisher = {Scuola normale superiore},
title = {Large time behaviour of a diffusion equation with strong convection},
url = {http://eudml.org/doc/84187},
volume = {21},
year = {1994},
}

TY - JOUR
AU - Claudi, S.
AU - Natalini, R.
AU - Tesei, A.
TI - Large time behaviour of a diffusion equation with strong convection
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1994
PB - Scuola normale superiore
VL - 21
IS - 3
SP - 445
EP - 474
LA - eng
KW - rescaling; selfsimilar entropy solution; compensated compactness
UR - http://eudml.org/doc/84187
ER -

References

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  1. [BE] J. Bebernes - D. Eberly, Mathematical problems from combustion theory, Applied Mathematical Sciences83, Springer-Verlag, New York, 1989. Zbl0692.35001MR1012946
  2. [EVZ] M. Escobedo - J.L. Vazquez - E. Zuazua, Asymptotic behaviour and source-type solutions for a diffusion-convection equation. Arch. Rational Mech. Anal.124 (1993), 43-65. Zbl0807.35059MR1233647
  3. [EZ] M. Escobedo - E. Zuazua, Large time behaviour for solutions of a convection diffusion equation in RN. J. Funct. Anal.100 (1991), 119-161. Zbl0762.35011MR1124296
  4. [Gi] B.H. Gilding, Hölder continuity of solutions of parabolic equations, J. London Math. Soc.13 (1976), 103-106. Zbl0319.35045MR399658
  5. [KP1] S. Kamin - L.A. Peletier, Large time behaviour of solutions of the heat equation with absorption. Ann. Scuola Norm. Sup. Pisa Cl. Sci.12 (1985), 393-408. Zbl0598.35050MR837255
  6. [KP2] S. Kamin - L.A. Peletier, Large time behaviour of solutions of the porous media equation with absorption. Israel J. Math.55 (1986), 129-146. Zbl0625.35048MR868174
  7. [Kr] S.N. Kru, First order quasilinear equations in several independent variables. Mat. Sb.81 (1970), 228-255. English transl.: Math. USSR Sb.10 (1970), 217-243. Zbl0215.16203MR267257
  8. [La] P.D. Lax, Shock waves and entropy. In " Contributions to nonlinear functional analysis", E.A. Zarantonello Ed., Academic Press, New York, 1971. Zbl0268.35014MR393870
  9. [LP] T.P. Liu - M. Pierre, Source solutions and asymptotic behaviour in conservation laws. J. Differential Equations51 (1984), 419-441. Zbl0545.35057MR735207
  10. [LSU] O.A. Ladyzhenskaya - V.A. Solonnikov - N.N. Ural'ceva, Linear and quasilinear equations of parabolic type, Amer. Math. Soc. Transl.23 (Providence, 1968). Zbl0174.15403
  11. [NT] R. Natalini - A. Tesei, Blow-up of solutions for first order quasilinear hyperbolic equations. Appl. Anal.51 (1993), 81-114. Zbl0788.35088MR1278994
  12. [PS] L.A. Peletier - H.C. Serafini, A very singular solution and other self-similar solutions of the heat equation with convection. To appear in Nonlinear Anal. Zbl0824.35058MR1308469
  13. [RK] P. Rosenau - S. Kamin, Thermal waves in an absorbing and convecting medium. Phys. D8 (1983), 273-283. Zbl0542.35043MR724593
  14. [Ta] L. Tartar, Compensated compactness and applications to partial differential equations. In "Nonlinear analysis and mechanics: Heriot-Watt Symposium", vol. IV, R.J. Knops, ed.; Pitman Research Notes in Mathematics39, London, 1970. Zbl0437.35004MR584398

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