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

top
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

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.