A singular radially symmetric problem in electrolytes theory

Tadeusz Nadzieja; Andrzej Raczyński

Applicationes Mathematicae (1998)

  • Volume: 25, Issue: 1, page 101-112
  • ISSN: 1233-7234

Abstract

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Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.

How to cite

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Nadzieja, Tadeusz, and Raczyński, Andrzej. "A singular radially symmetric problem in electrolytes theory." Applicationes Mathematicae 25.1 (1998): 101-112. <http://eudml.org/doc/219188>.

@article{Nadzieja1998,
abstract = {Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.},
author = {Nadzieja, Tadeusz, Raczyński, Andrzej},
journal = {Applicationes Mathematicae},
keywords = {radial solutions; electrodiffusion of ions; nonlinear parabolic equation; parabolic-elliptic system; radial solution; regularization procedure},
language = {eng},
number = {1},
pages = {101-112},
title = {A singular radially symmetric problem in electrolytes theory},
url = {http://eudml.org/doc/219188},
volume = {25},
year = {1998},
}

TY - JOUR
AU - Nadzieja, Tadeusz
AU - Raczyński, Andrzej
TI - A singular radially symmetric problem in electrolytes theory
JO - Applicationes Mathematicae
PY - 1998
VL - 25
IS - 1
SP - 101
EP - 112
AB - Existence of radially symmetric solutions (both stationary and time dependent) for a parabolic-elliptic system describing the evolution of the spatial density of ions in an electrolyte is studied.
LA - eng
KW - radial solutions; electrodiffusion of ions; nonlinear parabolic equation; parabolic-elliptic system; radial solution; regularization procedure
UR - http://eudml.org/doc/219188
ER -

References

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  1. [1] P. Biler, Existence and asymptotics of solutions for a parabolic-elliptic system with nonlinear no-flux boundary conditions, Nonlinear Anal. 19 (1992), 1121-1136. Zbl0781.35025
  2. [2] P. Biler, W. Hebisch and T. Nadzieja, The Debye system: existence and long time behavior of solutions, ibid. 23 (1994), 1189-1209. Zbl0814.35054
  3. [3] P. Biler and T. Nadzieja, A singular problem in electrolytes theory, Math. Methods Appl. Sci. 20 (1997), 767-782. Zbl0885.35051
  4. [4] P. Biler and T. Nadzieja, Nonlocal parabolic problems in statistical mechanics, Proc. Second World Congress of Nonlinear Analysts, Nonlinear Anal. 30 (1997), 5343-5350. Zbl0892.35073
  5. [5]J. R. Cannon, The One-Dimensional Heat Equation, Addison-Wesley, New York, 1984. Zbl0567.35001
  6. [6]A. Krzywicki and T. Nadzieja, A nonstationary problem in the theory of electrolytes, Quart. Appl. Math. 50 (1992), 105-107. Zbl0754.35142
  7. [7] O. A. Ladyženskaja, V. A. Solonnikov and N. N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, Amer. Math. Soc., Providence, R.I., 1988. 
  8. [8] T. Nadzieja, A model of radially symmetric cloud of self-attracting particles, Appl. Math. (Warsaw) 23 (1995), 169-178. Zbl0839.35110
  9. [9] M. H. Protter and H. F. Weinberger, Maximum Principles in Differential Equations, Springer, New York, 1984. 
  10. [10] I. Rubinstein, Electro-Diffusion of Ions, SIAM Stud. Appl. Math. 11, Philadelphia, 1990. 

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