A Neumann problem for a convection-diffusion equation on the half-line

Piotr Biler; Grzegorz Karch

Annales Polonici Mathematici (2000)

  • Volume: 74, Issue: 1, page 79-95
  • ISSN: 0066-2216

Abstract

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We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.

How to cite

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Biler, Piotr, and Karch, Grzegorz. "A Neumann problem for a convection-diffusion equation on the half-line." Annales Polonici Mathematici 74.1 (2000): 79-95. <http://eudml.org/doc/208378>.

@article{Biler2000,
abstract = {We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.},
author = {Biler, Piotr, Karch, Grzegorz},
journal = {Annales Polonici Mathematici},
keywords = {Neumann problem; asymptotics of solutions.; convection-diffusion equation; self-similar solutions},
language = {eng},
number = {1},
pages = {79-95},
title = {A Neumann problem for a convection-diffusion equation on the half-line},
url = {http://eudml.org/doc/208378},
volume = {74},
year = {2000},
}

TY - JOUR
AU - Biler, Piotr
AU - Karch, Grzegorz
TI - A Neumann problem for a convection-diffusion equation on the half-line
JO - Annales Polonici Mathematici
PY - 2000
VL - 74
IS - 1
SP - 79
EP - 95
AB - We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.
LA - eng
KW - Neumann problem; asymptotics of solutions.; convection-diffusion equation; self-similar solutions
UR - http://eudml.org/doc/208378
ER -

References

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  8. [8] M. Guedda, Self-similar solutions to a convection-diffusion process, Electron. J. Qual. Theory Differ. Equ. 2000, no. 3, 17 pp. 
  9. [9] L. Herraiz, Asymptotic behaviour of solutions of some semilinear parabolic problems, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), 49-105. Zbl0918.35025
  10. [10] S. Kaplan, On the growth of solutions of quasi-linear parabolic equations, Comm. Pure Appl. Math. 16 (1963), 305-330. Zbl0156.33503
  11. [11] G. Karch, Large-time behavior of solutions to nonlinear wave equations: higher-order asymptotics, Math. Methods Appl. Sci. 22 (1999), 1671-1697. Zbl0947.35141
  12. [12] G. Karch, Asymptotics of solutions to a convection-diffusion equation on the half-line, Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), 837-853.  Zbl0959.35021
  13. [13] L. A. Peletier and H. C. Serafini, A very singular solution and other self-similar solutions of the heat equation with convection, Nonlinear Anal. 24 (1995), 29-49. Zbl0824.35058

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