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Fokas, A. S.; Rogers, C.; Schief, W. K.

Evolution of methacrylate distribution during wood saturation. (English) Zbl 1064.92030

Appl. Math. Lett. 18, No. 3, 321-328 (2005).
Summary: It is established that a nonlinear model for the evolution of methacrylate in wood may be reduced via a reciprocal transformation to a moving boundary problem amenable to analytic treatment. Therein, the nonlinearity in the original problem is removed to the boundary. A recently developed method for the analysis of initial-boundary value problems is then used to obtain a single integral equation for the temporal evolution of the moving boundary in the canonical problem.

Cited in 16 Documents

MSC:

92C80 Plant biology
35Q92 PDEs in connection with biology, chemistry and other natural sciences
35R35 Free boundary problems for PDEs
PDFBibTeX XMLCite
\textit{A. S. Fokas} et al., Appl. Math. Lett. 18, No. 3, 321--328 (2005; Zbl 1064.92030)
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References:

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