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- W90613260 abstract "This chapter describes bounds for the solutions of reaction–diffusion equations. Reaction–diffusion equations have been employed as models for problems in chemical morphogenesis. Reaction processes are usually nonlinear in character; hence, approximate solutions to the dynamical equations representing these phenomena are important for understanding behavior and can often be profitably exploited in the quantitative and qualitative study of such processes. The chapter describes a general method for constructing upper and lower bounds for the solutions of initial-boundary value problems associated with nonlinear reaction–diffusion equations. The nonlinear analysis approximation technique employs Lagrange's theory of first-order characteristics, a transformation that is required to be monotone in the solution argument, and differential inequalities." @default.
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- W90613260 date "1977-01-01" @default.
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- W90613260 title "BOUNDS FOR SOLUTIONS OF REACTION-DIFFUSION EQUATIONS" @default.
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- W90613260 doi "https://doi.org/10.1016/b978-0-12-434150-0.50018-7" @default.
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