Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A nonstationary problem in the theory of electrolytes

Authors: A. Krzywicki and T. Nadzieja
Journal: Quart. Appl. Math. 50 (1992), 105-107
MSC: Primary 35Q60; Secondary 35K40
DOI: https://doi.org/10.1090/qam/1146626
MathSciNet review: MR1146626
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Abstract: The equations describing the density of ions which appear in the theory of electrolytes take the form $ {f_t} = {f_{xx}} + {\left( {f{u_x}} \right)_x}, {u_{xx}} = - f$, in the one-dimensional case. In the paper the existence of solutions and their behaviour as time goes to infinity is discussed.

References [Enhancements On Off] (What's this?)

  • [1] P. Debye and E. Hückel, Zur Theorie der Electrolyte. II, Phys. Zft. 24, 305-325 (1923)
  • [2] Avner Friedman, Partial differential equations of parabolic type, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1964. MR 0181836

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DOI: https://doi.org/10.1090/qam/1146626
Article copyright: © Copyright 1992 American Mathematical Society

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