Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model
Breakdown of Liesegang precipitation bands in a simplified fast reaction limit of the Keller–Rubinow model
Abstract We study solutions to the integral equation $$\begin{aligned} \omega (x) = \Gamma - x^2 \int \nolimits _{0}^1 K(\theta ) \, H(\omega (x\theta )) \, \mathrm {d}\theta \end{aligned}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:mi>ω</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>=</mml:mo> <mml:mi>Γ</mml:mi> <mml:mo>-</mml:mo> <mml:msup> <mml:mi>x</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:msubsup> <mml:mo>∫</mml:mo> …