Poisson-Boltzmann equation in ℝ³

• Autorzy: A. Krzywicki , T. Nadzieja
• Języki publikacji: EN

Abstrakty

EN

The electric potential u in a solute of electrolyte satisfies the equation
Δu(x) = f(u(x)), x ∈ Ω ⊂ ℝ³, $u|_{∂Ω} = 0$.
One studies the existence of a solution of the problem and its properties.

Słowa kluczowe

EN

Poisson-Boltzmann equation; existence of solution

Kategorie tematyczne

• 78A35: Motion of charged particles
• 35J60: Nonlinear elliptic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 54
• Numer: 2
• Strony: 125-134

Daty

wydano

1991

otrzymano

1989-05-21

Twórcy

autor

A. Krzywicki

autor

T. Nadzieja

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Bibliografia

• [1] R. Courant, Partial Differential Equations, Interscience, New York London 1962.
• [2] A. Friedman and K. Tintarev, Boundary asymptotics for solutions of the Poisson-Boltzmann equation, J. Differential Equations 69 (1987), 15-38.
• [3] A. Krzywicki and T. Nadzieja, Radially symmetric Poisson-Boltzmann equation in a domain expanding to infinity, submitted.
• [4] W. Pogorzelski, Integral Equations and their Applications, Pergamon Press and PWN, 1969.
• [5] I. Rubinstein, Counterion condensation as an exact limiting property of solution of the Poisson-Boltzmann equation, SIAM J. Appl. Math. 46 (1986), 1024-1038.